135089942400
135,089,942,400 is an even composite number composed of six prime numbers multiplied together.
135089942400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 135089942400:
27 × 33 × 52 × 72 × 17 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 17 × 1877)See below for interesting mathematical facts about the number 135089942400 from the Numbermatics database.
Names of 135089942400
- Cardinal: 135089942400 can be written as One hundred thirty-five billion, eighty-nine million, nine hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.350899424 × 1011
Factors of 135089942400
Divisors of 135089942400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 32 34 35 36 40 42 45 48 49 50 51 54 56 60 63 64 68 70 72 75 80 84 85 90 96 98 100 102 105 108 112 119 120 126 128 135 136 140 144 147 150 153 160 168 170 175 180 189 192 196 200 204 210 216 224 225 238 240 245 252 255 270 272 280 288 294 300 306 315 320 336 340 350 357 360 378 384 392 400 408 420 425 432 441 448 450 459 476 480 490 504 510 525 540 544 560 576 588 595 600 612 630 640 672 675 680 700 714 720 735 756 765 784 800 816 833 840 850 864 882 896 900 918 945 952 960 980 1008 1020 1050 1071 1080 1088 1120 1152 1176 1190 1200 1224 1225 1260 1275 1323 1344 1350 1360 1400 1428 1440 1470 1512 1530 1568 1575 1600 1632 1666 1680 1700 1728 1764 1785 1800 1836 1877 1890 1904 1920 1960 2016 2040 2100 2142 2160 2176 2205 2240 2295 2352 2380 2400 2448 2450 2499 2520 2550 2646 2688 2700 2720 2800 2856 2880 2940 2975 3024 3060 3136 3150 3200 3213 3264 3332 3360 3400 3456 3528 3570 3600 3672 3675 3754 3780 3808 3825 3920 4032 4080 4165 4200 4284 4320 4410 4480 4590 4704 4725 4760 4800 4896 4900 4998 5040 5100 5292 5355 5400 5440 5600 5631 5712 5760 5880 5950 6048 6120 6272 6300 6426 6528 6615 6664 6720 6800 7056 7140 7200 7344 7350 7497 7508 7560 7616 7650 7840 8064 8160 8330 8400 8568 8640 8820 8925 9180 9385 9408 9450 9520 9600 9792 9800 9996 10080 10200 10584 10710 10800 10880 11025 11200 11262 11424 11475 11760 11900 12096 12240 12495 12600 12852 13139 13230 13328 13440 13600 14112 14280 14400 14688 14700 14994 15016 15120 15232 15300 15680 16065 16320 16660 16800 16893 17136 17280 17640 17850 18360 18770 18816 18900 19040 19584 19600 19992 20160 20400 20825 21168 21420 21600 22050 22400 22491 22524 22848 22950 23520 23800 24192 24480 24990 25200 25704 26278 26460 26656 26775 27200 28155 28224 28560 28800 29376 29400 29988 30032 30240 30600 31360 31909 32130 32640 33075 33320 33600 33786 34272 35280 35700 36720 37485 37540 37800 38080 39200 39417 39984 40320 40800 41650 42336 42840 43200 44100 44982 45048 45696 45900 46925 47040 47600 48960 49980 50400 50679 51408 52556 52920 53312 53550 54400 56310 56448 57120 58752 58800 59976 60064 60480 61200 62475 63818 64260 65695 66150 66640 67200 67572 68544 70560 71400 73440 74970 75080 75600 76160 78400 78834 79968 80325 81600 83300 84465 84672 85680 86400 88200 89964 90096 91800 91973 93850 94080 95200 95727 97920 99960 100800 101358 102816 105112 105840 106624 107100 112455 112620 114240 117600 118251 119952 120128 120960 122400 124950 127636 128520 131390 132300 133280 135144 137088 140775 141120 142800 146880 149940 150160 151200 156800 157668 159545 159936 160650 163200 166600 168930 169344 171360 176400 179928 180192 183600 183946 187425 187700 190400 191454 197085 199920 201600 202716 205632 210224 211680 214200 223363 224910 225240 228480 235200 236502 239904 240256 244800 249900 253395 255272 257040 262780 264600 266560 270288 275919 281550 282240 285600 287181 293760 299880 300320 302400 315336 319090 319872 321300 328475 333200 337860 342720 352800 354753 359856 360384 367200 367892 374850 375400 380800 382908 394170 399840 405432 411264 420448 422325 423360 428400 446726 449820 450480 459865 470400 473004 478635 479808 489600 499800 506790 510544 514080 525560 529200 533120 540576 551838 562275 563100 571200 574362 591255 599760 600640 604800 630672 638180 642600 656950 666400 670089 675720 685440 705600 709506 719712 720768 734400 735784 749700 750800 765816 788340 797725 799680 810864 827757 840896 844650 846720 856800 861543 893452 899640 900960 919730 946008 957270 959616 985425 999600 1013580 1021088 1028160 1051120 1058400 1081152 1103676 1116815 1124550 1126200 1142400 1148724 1182510 1199520 1201280 1261344 1266975 1276360 1285200 1313900 1332800 1340178 1351440 1379595 1411200 1419012 1435905 1439424 1468800 1471568 1499400 1501600 1531632 1563541 1576680 1595450 1599360 1621728 1655514 1681792 1689300 1713600 1723086 1773765 1786904 1799280 1801920 1839460 1892016 1914540 1970850 1999200 2010267 2027160 2042176 2056320 2102240 2116800 2162304 2207352 2233630 2249100 2252400 2297448 2299325 2365020 2393175 2399040 2483271 2522688 2533950 2552720 2570400 2627800 2665600 2680356 2702880 2759190 2838024 2871810 2878848 2943136 2956275 2998800 3003200 3063264 3127082 3153360 3190900 3243456 3311028 3350445 3378600 3427200 3446172 3547530 3573808 3598560 3603840 3678920 3784032 3829080 3941700 3998400 4020534 4054320 4084352 4138785 4204480 4233600 4307715 4414704 4467260 4498200 4504800 4594896 4598650 4690623 4730040 4786350 4798080 4966542 5045376 5067900 5105440 5140800 5255600 5360712 5405760 5518380 5584075 5676048 5743620 5886272 5912550 5997600 6006400 6030801 6126528 6254164 6306720 6381800 6486912 6622056 6700890 6757200 6892344 6897975 7095060 7147616 7179525 7197120 7357840 7568064 7658160 7817705 7883400 7996800 8041068 8108640 8277570 8408960 8615430 8829408 8868825 8934520 8996400 9009600 9189792 9197300 9381246 9460080 9572700 9933084 10051335 10135800 10210880 10281600 10511200 10721424 10811520 11036760 11168150 11352096 11487240 11772544 11825100 11995200 12061602 12253056 12416355 12508328 12613440 12763600 13244112 13401780 13514400 13784688 13795950 14071869 14190120 14295232 14359050 14394240 14715680 15136128 15316320 15635410 15766800 16082136 16217280 16555140 16752225 17230860 17658816 17737650 17869040 17992800 18019200 18379584 18394600 18762492 18920160 19145400 19866168 20102670 20271600 20421760 20693925 21022400 21442848 21538575 22073520 22336300 22704192 22974480 23453115 23650200 23990400 24123204 24832710 25016656 25226880 25527200 26488224 26803560 27028800 27569376 27591900 28143738 28380240 28590464 28718100 29431360 30154005 30632640 31270820 31533600 32164272 32434560 33110280 33504450 34461720 35317632 35475300 35738080 35985600 36759168 36789200 37524984 37840320 38290800 39088525 39732336 40205340 40543200 41387850 42044800 42215607 42885696 43077150 44147040 44672600 45408384 45948960 46906230 47300400 48246408 49665420 50033312 50256675 51054400 52976448 53607120 54057600 55138752 55183800 56287476 56760480 57436200 58862720 60308010 61265280 62081775 62541640 63067200 64328544 66220560 67008900 68923440 70359345 70950600 71476160 71971200 73578400 75049968 75680640 76581600 78177050 79464672 80410680 81086400 82775700 84431214 85771392 86154300 88294080 89345200 91897920 93812460 94600800 96492816 99330840 100066624 100513350 102108800 105952896 107214240 110277504 110367600 112574952 113520960 114872400 117265575 120616020 124163550 125083280 126134400 128657088 132441120 134017800 137846880 140718690 141901200 142952320 147156800 150099936 150770025 153163200 156354100 158929344 160821360 162172800 165551400 168862428 172308600 176588160 178690400 183795840 187624920 189201600 192985632 198661680 200133248 201026700 211078035 214428480 220735200 225149904 227041920 229744800 234531150 241232040 248327100 250166560 257314176 264882240 268035600 275693760 281437380 283802400 294313600 300199872 301540050 306326400 312708200 317858688 321642720 331102800 337724856 344617200 351796725 357380800 375249840 378403200 385971264 397323360 402053400 422156070 428856960 441470400 450299808 459489600 469062300 482464080 496654200 500333120 529764480 536071200 551387520 562874760 567604800 600399744 603080100 625416400 643285440 662205600 675449712 689234400 703593450 714761600 750499680 771942528 794646720 804106800 844312140 882940800 900599616 918979200 938124600 964928160 993308400 1000666240 1055390175 1072142400 1125749520 1135209600 1206160200 1250832800 1286570880 1324411200 1350899424 1378468800 1407186900 1500999360 1589293440 1608213600 1688624280 1801199232 1876249200 1929856320 1986616800 2110780350 2144284800 2251499040 2412320400 2501665600 2648822400 2701798848 2756937600 2814373800 3001998720 3216427200 3377248560 3752498400 3859712640 3973233600 4221560700 4502998080 4824640800 5003331200 5403597696 5628747600 6432854400 6754497120 7504996800 7946467200 8443121400 9005996160 9649281600 11257495200 13508994240 15009993600 16886242800 19298563200 22514990400 27017988480 33772485600 45029980800 67544971200 135089942400
- Sum of all divisors σ(n): 609263013600
- Sum of proper divisors (its aliquot sum) s(n): 474173071200
- 135089942400 is an abundant number, because the sum of its proper divisors (474173071200) is greater than itself. Its abundance is 339083128800
Bases of 135089942400
- Binary: 11111011100111111110011101111100000002
- Hexadecimal: 0x1F73FCEF80
- Base-36: 1Q252AO0
Squares and roots of 135089942400
- 135089942400 squared (1350899424002) is 18249292537635317760000
- 135089942400 cubed (1350899424003) is 2465295877749904908404097024000000
-
The
square root of 135089942400 is 367545.8371414373 -
The
cube root of 135089942400 is 5131.0668414929
Scales and comparisons
How big is 135089942400?- 135,089,942,400 seconds is equal to 4,295 years, 23 weeks.
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To count from 1 to 135,089,942,400 would take you about eight thousand, five hundred ninety 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 135089942400 cubic inches would be around 427.6 feet tall.
Recreational maths with 135089942400
- 135089942400 backwards is 004249980531
- 135089942400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135089942400's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 135089942400 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/135089942400/
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The information we have on file for 135089942400 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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