137993688454603291128
137,993,688,454,603,291,128 is an even composite number composed of five prime numbers multiplied together.
What does the number 137993688454603291128 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1600 divisors.
137993688454603291128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred divisors.
Prime factorization of 137993688454603291128:
23 × 37 × 74 × 13 × 7094
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 13 × 709 × 709 × 709 × 709)See below for interesting mathematical facts about the number 137993688454603291128 from the Numbermatics database.
Names of 137993688454603291128
- Cardinal: 137993688454603291128 can be written as One hundred thirty-seven quintillion, nine hundred ninety-three quadrillion, six hundred eighty-eight trillion, four hundred fifty-four billion, six hundred three million, two hundred ninety-one thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37993688454603291128 × 1020
Factors of 137993688454603291128
Divisors of 137993688454603291128
- Number of divisors d(n): 1600
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 49 52 54 56 63 72 78 81 84 91 98 104 108 117 126 147 156 162 168 182 189 196 216 234 243 252 273 294 312 324 343 351 364 378 392 441 468 486 504 546 567 588 637 648 686 702 709 728 729 756 819 882 936 972 1029 1053 1092 1134 1176 1274 1323 1372 1404 1418 1458 1512 1638 1701 1764 1911 1944 2058 2106 2127 2184 2187 2268 2401 2457 2548 2646 2744 2808 2836 2916 3087 3159 3276 3402 3528 3822 3969 4116 4212 4254 4374 4459 4536 4802 4914 4963 5096 5103 5292 5672 5733 5832 6174 6318 6381 6552 6804 7203 7371 7644 7938 8232 8424 8508 8748 8918 9217 9261 9477 9604 9828 9926 10206 10584 11466 11907 12348 12636 12762 13377 13608 14406 14742 14889 15288 15309 15876 17016 17199 17496 17836 18434 18522 18954 19143 19208 19656 19852 20412 21609 22113 22932 23814 24696 25272 25524 26754 27651 27783 28431 28812 29484 29778 30618 31213 31752 34398 34741 35672 35721 36868 37044 37908 38286 39704 40131 40824 43218 44226 44667 45864 47628 51048 51597 53508 55302 55566 56862 57429 57624 58968 59556 61236 62426 64519 64827 66339 68796 69482 71442 73736 74088 75816 76572 80262 82953 83349 86436 88452 89334 93639 95256 103194 104223 107016 107163 110604 111132 113724 114858 119112 120393 122472 124852 129038 129654 132678 134001 137592 138964 142884 153144 154791 160524 165906 166698 172287 172872 176904 178668 187278 193557 194481 199017 206388 208446 214326 221208 222264 227448 229716 240786 243187 248859 249704 250047 258076 259308 265356 268002 277928 280917 285768 309582 312669 321048 331812 333396 344574 357336 361179 374556 387114 388962 398034 402003 412776 416892 428652 451633 459432 464373 481572 486374 497718 500094 502681 516152 516861 518616 530712 536004 561834 580671 583443 619164 625338 663624 666792 689148 722358 729561 746577 749112 750141 774228 777924 796068 804006 833784 842751 857304 903266 928746 938007 963144 972748 995436 1000188 1005362 1033722 1072008 1083537 1123668 1161342 1166886 1206009 1238328 1250676 1354899 1378296 1393119 1444716 1459122 1493154 1500282 1508043 1548456 1550583 1555848 1592136 1608012 1685502 1702309 1742013 1750329 1806532 1857492 1876014 1945496 1990872 2000376 2010724 2067444 2167074 2188683 2239731 2247336 2322684 2333772 2412018 2501352 2528253 2709798 2786238 2814021 2889432 2918244 2986308 3000564 3016086 3101166 3161431 3216024 3250611 3371004 3404618 3484026 3500658 3518767 3613064 3618027 3714984 3752028 4021448 4064697 4134888 4334148 4377366 4479462 4524129 4645368 4667544 4824036 5056506 5106927 5226039 5250987 5419596 5572476 5628042 5836488 5972616 6001128 6032172 6202332 6322862 6501222 6534853 6566049 6719193 6742008 6809236 6968052 7001316 7037534 7236054 7504056 7584759 8129394 8442063 8668296 8754732 8958924 9048258 9484293 9648072 9751833 10113012 10213854 10452078 10501974 10556301 10839192 10854081 11144952 11256084 12064344 12194091 12404664 12645724 13002444 13069706 13132098 13438386 13572387 13618472 13936104 14002632 14075068 14472108 15169518 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1516414158841794408 1642782005411943942 1703625783390164088 1769149851982093476 1916579006313934599 2190376007215925256 2464173008117915913 2555438675085246132 2653724777973140214 2816197723563332472 3285564010823887884 3538299703964186952 3833158012627869198 4928346016235831826 5110877350170492264 5307449555946280428 5749737018941803797 6571128021647775768 7666316025255738396 9856692032471663652 10614899111892560856 11499474037883607594 15332632050511476792 17249211056825411391 19713384064943327304 22998948075767215188 34498422113650822782 45997896151534430376 68996844227301645564 137993688454603291128
- Sum of all divisors σ(n): 488207183657592352800
- Sum of proper divisors (its aliquot sum) s(n): 350213495202989061672
- 137993688454603291128 is an abundant number, because the sum of its proper divisors (350213495202989061672) is greater than itself. Its abundance is 212219806748385770544
Bases of 137993688454603291128
- Binary: 11101111011000011000001000010000111000011101000110100111001111110002
- Hexadecimal: 0x77B0C10870E8D39F8
- Base-36: T4ET413RLMVI0
Squares and roots of 137993688454603291128
- 137993688454603291128 squared (1379936884546032911282) is 19042258053306113646044952432409123512384
- 137993688454603291128 cubed (1379936884546032911283) is 2627711425280084396506491324667932734726778350695613465329152
-
The
square root of 137993688454603291128 is 11747071484.1871670259 -
The
cube root of 137993688454603291128 is 5167570.4689092729
Scales and comparisons
How big is 137993688454603291128?- 137,993,688,454,603,291,128 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 137,993,688,454,603,291,128 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137993688454603291128 cubic inches would be around 430630.9 feet tall.
Recreational maths with 137993688454603291128
- 137993688454603291128 backwards is 821192306454886399731
- The number of decimal digits it has is: 21
- The sum of 137993688454603291128's digits is 99
- More coming soon!
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The information we have on file for 137993688454603291128 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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