135093616224000
135,093,616,224,000 is an even composite number composed of six prime numbers multiplied together.
135093616224000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 135093616224000:
28 × 3 × 53 × 72 × 232 × 2332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 23 × 23 × 233 × 233)See below for interesting mathematical facts about the number 135093616224000 from the Numbermatics database.
Names of 135093616224000
- Cardinal: 135093616224000 can be written as One hundred thirty-five trillion, ninety-three billion, six hundred sixteen million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.35093616224 × 1014
Factors of 135093616224000
Divisors of 135093616224000
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 32 35 40 42 46 48 49 50 56 60 64 69 70 75 80 84 92 96 98 100 105 112 115 120 125 128 138 140 147 150 160 161 168 175 184 192 196 200 210 224 230 233 240 245 250 256 276 280 294 300 320 322 336 345 350 368 375 384 392 400 420 448 460 466 480 483 490 500 525 529 552 560 575 588 600 640 644 672 690 699 700 735 736 750 768 784 800 805 840 875 896 920 932 960 966 980 1000 1050 1058 1104 1120 1127 1150 1165 1176 1200 1225 1280 1288 1344 1380 1398 1400 1470 1472 1500 1568 1587 1600 1610 1631 1680 1725 1750 1792 1840 1864 1920 1932 1960 2000 2100 2116 2208 2240 2254 2300 2330 2352 2400 2415 2450 2576 2625 2645 2688 2760 2796 2800 2875 2940 2944 3000 3136 3174 3200 3220 3262 3360 3381 3450 3495 3500 3675 3680 3703 3728 3840 3864 3920 4000 4025 4200 4232 4416 4480 4508 4600 4660 4704 4800 4830 4893 4900 5152 5250 5290 5359 5376 5520 5592 5600 5635 5750 5825 5880 5888 6000 6125 6272 6348 6400 6440 6524 6720 6762 6900 6990 7000 7350 7360 7406 7456 7728 7840 7935 8000 8050 8155 8400 8464 8625 8832 8960 9016 9200 9320 9408 9600 9660 9786 9800 10304 10500 10580 10718 11040 11109 11184 11200 11270 11417 11500 11650 11760 12000 12075 12250 12544 12696 12880 13048 13225 13440 13524 13800 13980 14000 14700 14720 14812 14912 15456 15680 15870 16000 16077 16100 16310 16800 16905 16928 17250 17475 17664 18032 18375 18400 18515 18640 18816 19200 19320 19572 19600 20125 20608 21000 21160 21436 22080 22218 22368 22400 22540 22834 23000 23300 23520 24000 24150 24465 24500 25392 25760 25921 26096 26450 26795 26880 27048 27600 27960 28000 28175 29125 29400 29440 29624 29824 30912 31360 31740 32000 32154 32200 32620 33600 33810 33856 34251 34500 34950 36064 36750 36800 37030 37280 37513 37632 38640 39144 39200 39675 40250 40775 41216 42000 42320 42872 44160 44436 44736 44800 45080 45668 46000 46600 47040 48000 48300 48930 49000 50784 51520 51842 52192 52900 53590 54096 54289 55200 55545 55920 56000 56350 57085 58250 58800 59248 59648 60375 61824 62720 63480 64308 64400 65240 66125 67200 67620 67712 68502 69000 69900 72128 73500 73600 74060 74560 75026 77280 77763 78288 78400 79350 80385 80500 81550 84000 84525 84640 85744 87375 88320 88872 89472 90160 91336 92000 92575 93200 94080 96000 96600 97860 98000 101568 103040 103684 104384 105800 107180 108192 108578 110400 111090 111840 112000 112539 112700 114170 116500 117600 118496 120750 122325 123257 123648 126960 128616 128800 129605 130480 132250 133975 134400 135240 135424 137004 138000 139800 140875 144256 147000 147200 148120 149120 150052 154560 155526 156576 156800 158700 160770 161000 162867 163100 168000 169050 169280 171255 171488 174750 177744 178944 180320 182672 184000 185150 186400 187565 188160 193200 195720 196000 198375 203136 203875 206080 207368 208768 211600 214360 216384 217156 220800 222180 223680 224000 225078 225400 228340 233000 235200 236992 241500 244650 246514 253920 257232 257600 259210 260960 262591 264500 267950 270480 271445 274008 276000 277725 279600 281750 285425 288512 294000 296240 298240 300104 309120 311052 313152 313600 317400 321540 322000 325734 326200 336000 338100 338560 342510 342976 349500 355488 360640 365344 368000 369771 370300 372800 375130 380023 386400 388815 391440 392000 396750 401925 406272 407750 414736 417536 422625 423200 428720 432768 434312 441600 444360 447360 450156 450800 456680 462875 466000 470400 473984 483000 489300 493028 507840 514464 515200 518420 521920 525182 529000 535900 540960 542890 548016 552000 555450 559200 562695 563500 570850 588000 592480 600208 611625 616285 618240 622104 626304 634800 643080 644000 648025 651468 652400 669875 672000 676200 677120 685020 685952 699000 710976 721280 730688 736000 739542 740600 745600 750260 760046 772800 777630 782880 784000 787773 793500 803850 814335 815500 829472 845250 846400 856275 857440 862799 865536 868624 888720 894720 900312 901600 913360 925750 932000 937825 940800 947968 966000 978600 986056 1015680 1028928 1030400 1036840 1043840 1050364 1058000 1071800 1081920 1085780 1096032 1104000 1110900 1118400 1125390 1127000 1140069 1141700 1176000 1184960 1200416 1223250 1232570 1244208 1248647 1252608 1269600 1286160 1288000 1296050 1302936 1304800 1312955 1339750 1352400 1357225 1370040 1371904 1388625 1398000 1421952 1427125 1442560 1461376 1479084 1481200 1491200 1500520 1520092 1545600 1555260 1565760 1568000 1575546 1587000 1607700 1628670 1631000 1658944 1690500 1692800 1712550 1714880 1725598 1737248 1777440 1800624 1803200 1826720 1848855 1851500 1864000 1875650 1900115 1932000 1944075 1957200 1972112 2009625 2031360 2057856 2073680 2087680 2100728 2116000 2143600 2163840 2171560 2192064 2208000 2221800 2236800 2250780 2254000 2280138 2283400 2352000 2369920 2400832 2446500 2465140 2488416 2497294 2539200 2572320 2576000 2588397 2592100 2605872 2609600 2625910 2660161 2679500 2704800 2714450 2740080 2777250 2796000 2813475 2843904 2854250 2922752 2958168 2962400 3001040 3040184 3081425 3091200 3110520 3131520 3151092 3174000 3215400 3240125 3257340 3262000 3317888 3381000 3385600 3425100 3429760 3451196 3474496 3554880 3601248 3606400 3653440 3697710 3703000 3728000 3745941 3751300 3800230 3864000 3888150 3914400 3938865 3944224 4019250 4071675 4115712 4147360 4201456 4232000 4281375 4287200 4313995 4327680 4343120 4384128 4443600 4473600 4501560 4508000 4560276 4566800 4689125 4704000 4739840 4801664 4893000 4930280 4976832 4994588 5078400 5144640 5152000 5176794 5184200 5211744 5219200 5251820 5320322 5359000 5409600 5428900 5480160 5554500 5592000 5626950 5700345 5708500 5916336 5924800 6002080 6039593 6080368 6162850 6221040 6243235 6263040 6302184 6348000 6430800 6480250 6514680 6524000 6564775 6635776 6762000 6786125 6850200 6859520 6902392 6948992 7109760 7202496 7212800 7306880 7395420 7406000 7456000 7491882 7502600 7600460 7728000 7776300 7828800 7877730 7888448 7980483 8038500 8143350 8294720 8402912 8464000 8562750 8574400 8627990 8686240 8740529 8768256 8887200 9003120 9016000 9120552 9133600 9244275 9378250 9500575 9603328 9720375 9786000 9860560 9953664 9989176 10156800 10289280 10353588 10368400 10423488 10438400 10503640 10640644 10718000 10819200 10857800 10960320 11109000 11184000 11253900 11400690 11417000 11832672 11849600 12004160 12079186 12160736 12325700 12442080 12486470 12604368 12696000 12861600 12941985 12960500 13029360 13048000 13129550 13300805 13524000 13572250 13700400 13804784 13897984 14067375 14219520 14404992 14613760 14790840 14812000 14983764 15005200 15200920 15407125 15456000 15552600 15657600 15755460 15776896 15960966 16077000 16286700 16589440 16805824 16928000 17125500 17148800 17255980 17372480 17481058 17774400 18006240 18032000 18118779 18241104 18267200 18488550 18729705 18756500 19001150 19440750 19572000 19694325 19721120 19907328 19978352 20358375 20578560 20707176 20736800 20846976 21007280 21281288 21436000 21569975 21638400 21715600 21920640 22218000 22368000 22507800 22801380 22834000 23665344 23699200 24008320 24158372 24321472 24651400 24884160 24972940 25208736 25392000 25723200 25883970 25921000 26058720 26096000 26221587 26259100 26601610 27048000 27144500 27400800 27609568 28134750 28501725 28718881 28809984 29581680 29624000 29967528 30010400 30197965 30401840 30814250 31105200 31216175 31315200 31510920 31553792 31921932 32154000 32573400 32823875 33178880 33611648 34251000 34297600 34511960 34744960 34962116 35548800 36012480 36064000 36237558 36482208 36534400 36977100 37459410 37513000 38002300 38881500 39144000 39388650 39442240 39902415 39956704 40716750 41414352 41473600 41693952 42014560 42562576 42872000 43139950 43431200 43702645 43841280 44436000 45015600 45602760 45668000 46221375 47330688 47502875 48016640 48316744 48642944 49302800 49768320 49945880 50417472 50784000 51446400 51767940 51842000 52117440 52192000 52443174 52518200 53203220 54096000 54289000 54801600 55219136 56269500 57003450 57437762 59163360 59248000 59935056 60020800 60395930 60803680 61183703 61628500 62210400 62432350 63021840 63843864 64308000 64709925 65146800 65647750 66504025 67223296 68502000 69023920 69489920 69924232 71097600 72024960 72475116 72964416 73068800 73954200 74918820 75026000 76004600 77763000 78288000 78777300 78884480 79804830 79913408 81433500 82828704 82947200 84029120 85125152 85744000 86156643 86279900 86862400 87405290 88872000 90031200 90593895 91205520 91336000 92442750 93648525 94661376 95005750 96633488 97285888 98471625 98605600 99536640 99891760 100834944 102892800 103535880 103684000 104234880 104886348 105036400 106406440 107849875 108192000 108578000 109603200 110438272 112539000 114006900 114875524 118326720 118496000 119870112 120041600 120791860 121607360 122367406 123257000 124420800 124864700 126043680 127687728 128616000 129419850 130293600 131107935 131295500 133008050 137004000 138047840 139848464 142508625 143594405 144049920 144950232 145928832 147908400 149837640 150052000 150989825 152009200 155526000 156080875 156576000 157554600 157768960 159609660 159826816 162867000 165657408 165894400 168058240 170250304 171488000 172313286 172559800 173724800 174810580 177744000 180062400 181187790 182411040 182672000 183551109 184885500 187297050 190011500 193266976 196943250 197211200 199512075 199783520 201032167 201669888 207071760 207368000 208469760 209772696 210072800 212812880 215699750 217156000 218513225 219206400 220876544 225078000 228013800 229751048 236653440 239740224 240083200 241583720 243214720 244734812 246514000 248841600 249729400 252087360 255375456 257232000 258839700 260587200 262215870 262591000 266016100 274008000 276095680 279696928 285017250 287188810 289900464 291857664 295816800 299675280 300104000 301979650 304018400 305918515 311052000 312161750 315109200 319219320 319653632 323549625 325734000 331314816 332520125 336116480 340500608 344626572 345119600 347449600 349621160 355488000 360124800 362375580 364822080 365344000 367102218 369771000 374594100 380023000 386533952 393886500 394422400 399024150 399567040 402064334 414143520 414736000 419545392 420145600 425625760 430783215 431399500 434312000 437026450 450156000 452969475 456027600 459502096 468242625 473306880 479480448 483167440 486429440 489469624 493028000 497683200 499458800 504174720 510750912 514464000 517679400 521174400 524431740 525182000 532032200 548016000 552191360 559393856 570034500 574377620 579800928 591633600 599350560 600208000 603096501 603959300 608036800 611837030 622104000 624323500 630218400 638438640 647099250 651468000 655539675 662629632 665040250 681001216 689253144 690239200 699242320 717972025 720249600 724751160 729644160 734204436 739542000 749188200 754949125 760046000 773067904 787773000 788844800 798048300 799134080 804128668 828287040 829472000 839090784 840291200 851251520 861566430 862799000 868624000 874052900 900312000 905938950 912055200 917755545 919004192 936485250 958960896 966334880 978939248 986056000 997560375 998917600 1005160835 1008349440 1021501824 1035358800 1042348800 1048863480 1050364000 1064064400 1092566125 1096032000 1104382720 1118787712 1140069000 1148755240 1159601856 1183267200 1198701120 1200416000 1206193002 1207918600 1216073600 1223674060 1244208000 1248647000 1260436800 1276877280 1294198500 1302936000 1311079350 1330080500 1378506288 1380478400 1398484640 1407225169 1435944050 1449502320 1459288320 1468408872 1479084000 1498376400 1509898250 1520092000 1529592575 1546135808 1575546000 1596096600 1598268160 1608257336 1656574080 1678181568 1680582400 1702503040 1723132860 1725598000 1737248000 1748105800 1800624000 1811877900 1824110400 1835511090 1838008384 1872970500 1932669760 1957878496 1972112000 1995120750 1997835200 2010321670 2043003648 2070717600 2097726960 2100728000 2128128800 2153916075 2185132250 2237575424 2264847375 2280138000 2297510480 2319203712 2366534400 2397402240 2412386004 2415837200 2432147200 2447348120 2488416000 2497294000 2520873600 2553754560 2588397000 2605872000 2622158700 2660161000 2757012576 2760956800 2796969280 2814450338 2871888100 2899004640 2936817744 2958168000 2996752800 3015482505 3019796500 3040184000 3059185150 3151092000 3192193200 3216514672 3277698375 3313148160 3356363136 3405006080 3446265720 3451196000 3496211600 3589860125 3601248000 3623755800 3648220800 3671022180 3676016768 3745941000 3865339520 3915756992 3944224000 3990241500 3995670400 4020643340 4141435200 4195453920 4201456000 4221675507 4256257600 4307832150 4370264500 4529694750 4560276000 4588777725 4595020960 4638407424 4794804480 4824772008 4831674400 4894696240 4994588000 5025804175 5041747200 5107509120 5176794000 5211744000 5244317400 5320322000 5514025152 5521913600 5593938560 5628900676 5743776200 5798009280 5873635488 5916336000 5993505600 6030965010 6039593000 6080368000 6118370300 6302184000 6384386400 6433029344 6555396750 6712726272 6892531440 6902392000 6992423200 7036125845 7179720250 7247511600 7296441600 7342044360 7352033536 7491882000 7647962875 7730679040 7831513984 7980483000 7991340800 8041286680 8282870400 8390907840 8402912000 8443351014 8512515200 8615664300 8740529000 9059389500 9120552000 9177555450 9190041920 9649544016 9663348800 9789392480 9989176000 10051608350 10215018240 10353588000 10488634800 10640644000 10769580375 11028050304 11187877120 11257801352 11487552400 11596018560 11747270976 11832672000 11987011200 12061930020 12079186000 12160736000 12236740600 12604368000 12768772800 12866058688 13110793500 13785062880 13804784000 13984846400 14072251690 14359440500 14495023200 14684088720 14983764000 15077412525 15295925750 15663027968 15960966000 16082573360 16565740800 16781815680 16886702028 17025030400 17231328600 17481058000 18118779000 18241104000 18355110900 18380083840 19299088032 19326697600 19578784960 19978352000 20103216700 20707176000 20977269600 21108377535 21281288000 21539160750 22056100608 22515602704 22943888625 22975104800 23192037120 23494541952 23974022400 24123860040 24158372000 24473481200 25129020875 25208736000 25537545600 25732117376 26221587000 27570125760 27609568000 27969692800 28144503380 28718881000 28990046400 29368177440 29967528000 30154825050 30591851500 31921932000 32165146720 33563631360 33773404056 34462657200 34962116000 35180629225 36237558000 36482208000 36710221800 36760167680 38598176064 38653395200 39157569920 39956704000 40206433400 41414352000 41954539200 42216755070 42562576000 43078321500 45031205408 45887777250 45950209600 46989083904 48247720080 48316744000 48946962400 50258041750 51075091200 51464234752 52443174000 55140251520 55939385600 56289006760 57437762000 57980092800 58736354880 59935056000 60309650100 61183703000 63843864000 64330293440 67546808112 68925314400 69924232000 70361258450 72475116000 73420443600 75387062625 77196352128 78315139840 80412866800 82828704000 83909078400 84433510140 85125152000 86156643000 90062410816 91775554500 91900419200 96495440160 96633488000 97893924800 100516083500 104886348000 105541887675 110280503040 112578013520 114875524000 115960185600 117472709760 119870112000 120619300200 122367406000 127687728000 128660586880 135093616224 137850628800 139848464000 140722516900 144950232000 146840887200 150774125250 154392704256 160825733600 167818156800 168867020280 172313286000 175903146125 180124821632 183551109000 183800838400 192990880320 193266976000 195787849600 201032167000 209772696000 211083775350 225156027040 229751048000 234945419520 241238600400 244734812000 255375456000 257321173760 270187232448 275701257600 279696928000 281445033800 289900464000 293681774400 301548250500 321651467200 337734040560 344626572000 351806292250 360249643264 367102218000 385981760640 391575699200 402064334000 419545392000 422167550700 450312054080 459502096000 482477200800 489469624000 527709438375 540374464896 551402515200 562890067600 579800928000 587363548800 603096501000 643302934400 675468081120 689253144000 703612584500 734204436000 771963521280 804128668000 839090784000 844335101400 900624108160 919004192000 964954401600 978939248000 1055418876750 1080748929792 1125780135200 1174727097600 1206193002000 1286605868800 1350936162240 1378506288000 1407225169000 1468408872000 1608257336000 1688670202800 1801248216320 1929908803200 1957878496000 2110837753500 2251560270400 2412386004000 2701872324480 2757012576000 2814450338000 2936817744000 3216514672000 3377340405600 3859817606400 4221675507000 4503120540800 4824772008000 5403744648960 5628900676000 5873635488000 6433029344000 6754680811200 8443351014000 9006241081600 9649544016000 11257801352000 13509361622400 16886702028000 19299088032000 22515602704000 27018723244800 33773404056000 45031205408000 67546808112000 135093616224000
- Sum of all divisors σ(n): 548005882827312
- Sum of proper divisors (its aliquot sum) s(n): 412912266603312
- 135093616224000 is an abundant number, because the sum of its proper divisors (412912266603312) is greater than itself. Its abundance is 277818650379312
Bases of 135093616224000
- Binary: 111101011011101111011110000000110100111000000002
- Hexadecimal: 0x7ADDEF01A700
- Base-36: 1BVX5F33EO
Squares and roots of 135093616224000
- 135093616224000 squared (1350936162240002) is 18250285144477396018176000000
- 135093616224000 cubed (1350936162240003) is 2465497017286597730722334272487424000000000
-
The
square root of 135093616224000 is 11622977.9413023063 -
The
cube root of 135093616224000 is 51311.1335486331
Scales and comparisons
How big is 135093616224000?- 135,093,616,224,000 seconds is equal to 4,295,559 years, 6 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 135,093,616,224,000 would take you about ten million, seven hundred thirty-eight thousand, eight hundred ninety-seven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 135093616224000 cubic inches would be around 4275.9 feet tall.
Recreational maths with 135093616224000
- 135093616224000 backwards is 000422616390531
- 135093616224000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135093616224000's digits is 42
- More coming soon!
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"Number 135093616224000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 135093616224000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/135093616224000/
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The information we have on file for 135093616224000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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