137964307399128
137,964,307,399,128 is an even composite number composed of five prime numbers multiplied together.
137964307399128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137964307399128:
23 × 32 × 7 × 433 × 1513
(2 × 2 × 2 × 3 × 3 × 7 × 43 × 43 × 43 × 151 × 151 × 151)See below for interesting mathematical facts about the number 137964307399128 from the Numbermatics database.
Names of 137964307399128
- Cardinal: 137964307399128 can be written as One hundred thirty-seven trillion, nine hundred sixty-four billion, three hundred seven million, three hundred ninety-nine thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37964307399128 × 1014
Factors of 137964307399128
Divisors of 137964307399128
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 56 63 72 84 86 126 129 151 168 172 252 258 301 302 344 387 453 504 516 602 604 774 903 906 1032 1057 1204 1208 1359 1548 1806 1812 1849 2114 2408 2709 2718 3096 3171 3612 3624 3698 4228 5418 5436 5547 6342 6493 7224 7396 8456 9513 10836 10872 11094 12684 12943 12986 14792 16641 19026 19479 21672 22188 22801 25368 25886 25972 33282 38052 38829 38958 44376 45451 45602 51772 51944 58437 66564 68403 76104 77658 77916 79507 90902 91204 103544 116487 116874 133128 136353 136806 155316 155832 159014 159607 181804 182408 205209 232974 233748 238521 272706 273612 279199 310632 318028 319214 363608 409059 410418 465948 467496 477042 478821 545412 547224 556549 558398 636056 638428 715563 818118 820836 837597 931896 954084 957642 980443 1090824 1113098 1116796 1276856 1431126 1436463 1636236 1641672 1669647 1675194 1908168 1915284 1954393 1960886 2226196 2233592 2512791 2862252 2872926 2941329 3272472 3339294 3350388 3442951 3830568 3908786 3921772 4452392 5008941 5025582 5724504 5745852 5863179 5882658 6678588 6700776 6863101 6885902 7817572 7843544 8823987 10017882 10051164 10328853 11491704 11726358 11765316 12005557 13357176 13726202 13771804 15635144 17589537 17647974 20035764 20102328 20589303 20657706 23452716 23530632 24011114 24100657 27452404 27543608 30986559 35179074 35295948 36016671 40071528 41178606 41315412 42159049 46905432 48022228 48201314 54904808 61767909 61973118 70358148 70591896 72033342 72301971 82357212 82630824 84038899 84318098 96044456 96402628 108050013 123535818 123946236 126477147 140716296 144066684 144603942 148046893 164714424 168077798 168636196 192805256 216100026 216905913 247071636 247892472 252116697 252954294 288133368 289207884 295113343 296093786 336155596 337272392 379431441 432200052 433811826 444140679 494143272 504233394 505908588 578415768 590226686 592187572 672311192 756350091 758862882 864400104 867623652 885340029 888281358 1008466788 1011817176 1036328251 1180453372 1184375144 1332422037 1512700182 1517725764 1735247304 1770680058 1776562716 1812839107 2016933576 2072656502 2360906744 2656020087 2664844074 3025400364 3035451528 3108984753 3541360116 3553125432 3625678214 4145313004 5312040174 5329688148 5438517321 6050800728 6217969506 6366016399 7082720232 7251356428 8290626008 9326954259 10624080348 10659376296 10877034642 12435939012 12689873749 12732032798 14502712856 16315551963 18653908518 19098049197 21248160696 21754069284 24871878024 25379747498 25464065596 32631103926 37307817036 38069621247 38196098394 43508138568 44562114793 50759494996 50928131192 57294147591 65262207852 74615634072 76139242494 76392196788 89124229586 101518989992 114208863741 114588295182 130524415704 133686344379 152278484988 152784393576 178248459172 228417727482 229176590364 267372688758 273738705157 304556969976 356496918344 401059033137 456835454964 458353180728 534745377516 547477410314 802118066274 821216115471 913670909928 1069490755032 1094954820628 1604236132548 1642432230942 1916170936099 2189909641256 2463648346413 3208472265096 3284864461884 3832341872198 4927296692826 5748512808297 6569728923768 7664683744396 9854593385652 11497025616594 15329367488792 17245538424891 19709186771304 22994051233188 34491076849782 45988102466376 68982153699564 137964307399128
- Sum of all divisors σ(n): 440114353536000
- Sum of proper divisors (its aliquot sum) s(n): 302150046136872
- 137964307399128 is an abundant number, because the sum of its proper divisors (302150046136872) is greater than itself. Its abundance is 164185738737744
Bases of 137964307399128
- Binary: 111110101111010010100011000100011000001110110002
- Hexadecimal: 0x7D7A5188C1D8
- Base-36: 1CWJXEHQE0
Squares and roots of 137964307399128
- 137964307399128 squared (1379643073991282) is 19034150116121085007895160384
- 137964307399128 cubed (1379643073991283) is 2626033337701677288749521748063593461745152
-
The
square root of 137964307399128 is 11745820.8482476013 -
The
cube root of 137964307399128 is 51672.0369017427
Scales and comparisons
How big is 137964307399128?- 137,964,307,399,128 seconds is equal to 4,386,838 years, 11 weeks, 4 days, 9 hours, 58 minutes, 48 seconds.
-
To count from 1 to 137,964,307,399,128 would take you about ten million, nine hundred sixty-seven thousand and ninety-five 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 137964307399128 cubic inches would be around 4306 feet tall.
Recreational maths with 137964307399128
- 137964307399128 backwards is 821993703469731
- 137964307399128 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137964307399128's digits is 72
- More coming soon!
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