145642738368000
145,642,738,368,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 145642738368000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
145642738368000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 145642738368000:
29 × 3 × 53 × 172 × 292 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 17 × 29 × 29 × 3121)See below for interesting mathematical facts about the number 145642738368000 from the Numbermatics database.
Names of 145642738368000
- Cardinal: 145642738368000 can be written as One hundred forty-five trillion, six hundred forty-two billion, seven hundred thirty-eight million, three hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.45642738368 × 1014
Factors of 145642738368000
Divisors of 145642738368000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 29 30 32 34 40 48 50 51 58 60 64 68 75 80 85 87 96 100 102 116 120 125 128 136 145 150 160 170 174 192 200 204 232 240 250 255 256 272 289 290 300 320 340 348 375 384 400 408 425 435 464 480 493 500 510 512 544 578 580 600 640 680 696 725 750 768 800 816 841 850 867 870 928 960 986 1000 1020 1088 1156 1160 1200 1275 1280 1360 1392 1445 1450 1479 1500 1536 1600 1632 1682 1700 1734 1740 1856 1920 1972 2000 2040 2125 2175 2176 2312 2320 2400 2465 2523 2550 2560 2720 2784 2890 2900 2958 3000 3121 3200 3264 3364 3400 3468 3480 3625 3712 3840 3944 4000 4080 4205 4250 4335 4350 4352 4624 4640 4800 4930 5046 5100 5440 5568 5780 5800 5916 6000 6242 6375 6400 6528 6728 6800 6936 6960 7225 7250 7395 7424 7680 7888 8000 8160 8381 8410 8500 8670 8700 8704 9248 9280 9363 9600 9860 10092 10200 10875 10880 11136 11560 11600 11832 12000 12325 12484 12615 12750 12800 13056 13456 13600 13872 13920 14297 14450 14500 14790 14848 15605 15776 16000 16320 16762 16820 17000 17340 17400 18496 18560 18726 19200 19720 20184 20400 21025 21675 21750 21760 22272 23120 23200 23664 24000 24650 24968 25143 25230 25500 26112 26912 27200 27744 27840 28594 28900 29000 29580 31210 31552 32000 32640 33524 33640 34000 34680 34800 36125 36975 36992 37120 37452 38400 39440 40368 40800 41905 42050 42891 43350 43500 43520 44544 46240 46400 46815 47328 48000 49300 49936 50286 50460 51000 53057 53824 54400 55488 55680 57188 57800 58000 59160 61625 62420 63075 63104 64000 65280 67048 67280 68000 69360 69600 71485 72250 73950 73984 74240 74904 78025 78880 80736 81600 83810 84100 85782 86700 87000 90509 92480 92800 93630 94656 96000 98600 99872 100572 100920 102000 105125 106114 107648 108375 108800 110976 111360 114376 115600 116000 118320 123250 124840 125715 126150 126208 130560 134096 134560 136000 138720 139200 142970 144500 147900 147968 149808 156050 157760 159171 161472 163200 167620 168200 171564 173400 174000 181018 184875 184960 185600 187260 189312 192000 197200 199744 201144 201840 204000 209525 210250 212228 214455 215296 216750 217600 221952 222720 228752 231200 232000 234075 236640 243049 246500 249680 251430 252300 252416 265285 268192 269120 271527 272000 277440 278400 285940 289000 295800 299616 312100 315375 315520 318342 322944 326400 335240 336400 343128 346800 348000 357425 362036 369750 369920 371200 374520 378624 390125 394400 399488 402288 403680 408000 419050 420500 424456 428910 430592 433500 443904 452545 457504 462400 464000 468150 473280 486098 493000 499360 502860 504600 530570 536384 538240 543054 544000 554880 556800 571880 578000 591600 599232 624200 628575 630750 631040 636684 645888 652800 670480 672800 686256 693600 696000 714850 724072 729147 739500 739840 749040 757248 780250 788800 795855 798976 804576 807360 816000 838100 841000 848912 857820 867000 901969 905090 915008 924800 928000 936300 946560 972196 986000 998720 1005720 1009200 1047625 1061140 1072275 1072768 1076480 1086108 1088000 1109760 1113600 1143760 1156000 1170375 1183200 1198464 1215245 1248400 1257150 1261500 1262080 1273368 1291776 1326425 1340960 1345600 1357635 1372512 1387200 1392000 1429700 1448144 1458294 1479000 1498080 1538653 1560500 1577600 1591710 1597952 1609152 1614720 1632000 1676200 1682000 1697824 1715640 1734000 1787125 1803938 1810180 1830016 1849600 1856000 1872600 1893120 1944392 1972000 1997440 2011440 2018400 2095250 2122280 2144550 2145536 2152960 2172216 2219520 2262725 2287520 2312000 2340750 2366400 2396928 2430490 2496800 2514300 2523000 2546736 2624761 2652850 2681920 2691200 2705907 2715270 2745024 2774400 2784000 2859400 2896288 2916588 2958000 2996160 3077306 3121000 3142875 3155200 3183420 3218304 3229440 3264000 3352400 3364000 3395648 3431280 3468000 3574250 3607876 3620360 3645735 3660032 3699200 3745200 3786240 3888784 3944000 3979275 3994880 4022880 4036800 4190500 4244560 4289100 4291072 4344432 4509845 4525450 4575040 4615959 4624000 4681500 4732800 4793856 4860980 4993600 5028600 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243049000 246184480 251977056 254673600 261571010 262476100 267725622 268192000 270590700 271527000 274502400 288630080 289628800 291658800 295421376 299616000 307730600 311102720 313885212 314971320 318342000 321830400 328095125 335969408 338238375 339564800 343128000 346356096 347554560 356967496 360787600 362036000 364573500 369276720 373323264 384663250 388878400 392356515 393714150 393895168 402288000 407477760 418513616 419961760 424456000 432945120 434443200 446209370 450984500 457504000 461595900 461808128 466654080 486098000 492368960 503954112 509347200 523142020 524952200 535451244 536384000 541181400 543054000 549004800 576994875 577260160 579257600 583317600 590842752 599232000 615461200 622205440 627770424 629942640 636684000 653927525 656190250 669314055 671938816 676476750 679129600 686256000 692712192 695109120 713934992 721575200 724072000 729147000 738553440 758555929 769326500 777756800 784713030 787428300 787790336 804576000 837027232 839923520 848912000 865890240 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3348108928 3359694080 3395648000 3463560960 3475545600 3569674960 3607876000 3692767200 3792779645 3888784000 3923565150 3937141500 3938951680 4031632896 4185136160 4199617600 4283609952 4329451200 4344432000 4462093700 4551335574 4615959000 4666540800 4923689600 5022163392 5039541120 5093472000 5231420200 5249522000 5354512440 5411814000 5577617125 5711479936 5772601600 5792576000 5833176000 5908427520 6068447432 6154612000 6277704240 6299426400 6539275250 6693140550 6696217856 6719388160 6927121920 7139349920 7215752000 7385534400 7585559290 7777568000 7847130300 7874283000 8370272320 8399235200 8567219904 8658902400 8688864000 8924187400 9102671148 9231918000 9333081600 9808912875 9847379200 10044326784 10079082240 10186944000 10462840400 10499044000 10709024880 10823628000 11155234250 11378338935 11422959872 11545203200 11666352000 11816855040 12136894864 12309224000 12555408480 12598852800 13078550500 13386281100 13392435712 14278699840 14431504000 14771068800 15171118580 15555136000 15694260600 15748566000 16732851375 16740544640 16798470400 17134439808 17317804800 17377728000 17848374800 18205342296 18463836000 18963898225 19617825750 19694758400 20088653568 20158164480 20925680800 20998088000 21418049760 21647256000 22310468500 22756677870 22845919744 23332704000 24273789728 24618448000 25110816960 25197705600 26157101000 26772562200 28557399680 28863008000 29542137600 30342237160 31388521200 31497132000 33465702750 33481089280 33596940800 34268879616 34635609600 35696749600 36410684592 36927672000 37927796450 39235651500 40177307136 41851361600 41996176000 42836099520 43294512000 44620937000 45513355740 46665408000 48547579456 49236896000 50221633920 50395411200 52314202000 53545124400 56891694675 57114799360 57726016000 59084275200 60684474320 62777042400 62994264000 66931405500 66962178560 68537759232 71393499200 72821369184 73855344000 75855592900 78471303000 83702723200 83992352000 85672199040 86589024000 89241874000 91026711480 94819491125 97095158912 98473792000 100443267840 100790822400 104628404000 107090248800 113783389350 114229598720 121368948640 125554084800 125988528000 133862811000 142786998400 145642738368 147710688000 151711185800 156942606000 167405446400 167984704000 171344398080 173178048000 178483748000 182053422960 189638982250 194190317824 200886535680 209256808000 214180497600 227566778700 242737897280 251108169600 251977056000 267725622000 284458473375 285573996800 291285476736 295421376000 303422371600 313885212000 334810892800 342688796160 356967496000 364106845920 379277964500 388380635648 418513616000 428360995200 455133557400 485475794560 502216339200 503954112000 535451244000 568916946750 571147993600 582570953472 606844743200 627770424000 713934992000 728213691840 758555929000 837027232000 856721990400 910267114800 970951589120 1004432678400 1070902488000 1137833893500 1165141906944 1213689486400 1255540848000 1427869984000 1456427383680 1517111858000 1674054464000 1713443980800 1820534229600 1941903178240 2141804976000 2275667787000 2427378972800 2511081696000 2855739968000 2912854767360 3034223716000 3641068459200 4283609952000 4551335574000 4854757945600 5022163392000 5825709534720 6068447432000 7282136918400 8567219904000 9102671148000 9709515891200 12136894864000 14564273836800 18205342296000 24273789728000 29128547673600 36410684592000 48547579456000 72821369184000 145642738368000
- Sum of all divisors σ(n): 532904825220768
- Sum of proper divisors (its aliquot sum) s(n): 387262086852768
- 145642738368000 is an abundant number, because the sum of its proper divisors (387262086852768) is greater than itself. Its abundance is 241619348484768
Bases of 145642738368000
- Binary: 1000010001110110000101111010111100111110000000002
- Hexadecimal: 0x847617AF3E00
- Base-36: 1FMJCM1G5C
Squares and roots of 145642738368000
- 145642738368000 squared (1456427383680002) is 21211807239329699303424000000
- 145642738368000 cubed (1456427383680003) is 3089345692070143755340693478572032000000000
-
The
square root of 145642738368000 is 12068253.3271389361 -
The
cube root of 145642738368000 is 52613.3891961119
Scales and comparisons
How big is 145642738368000?- 145,642,738,368,000 seconds is equal to 4,630,988 years, 30 weeks, 5 hours, 20 minutes.
-
To count from 1 to 145,642,738,368,000 would take you about eleven million, five hundred seventy-seven thousand, four hundred seventy-one 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 145642738368000 cubic inches would be around 4384.4 feet tall.
Recreational maths with 145642738368000
- 145642738368000 backwards is 000863837246541
- The number of decimal digits it has is: 15
- The sum of 145642738368000's digits is 57
- More coming soon!
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The information we have on file for 145642738368000 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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