10137135520512
10,137,135,520,512 is an even composite number composed of eight prime numbers multiplied together.
What does the number 10137135520512 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
10137135520512 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 10137135520512:
28 × 32 × 7 × 11 × 13 × 19 × 73 × 3169
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 13 × 19 × 73 × 3169)See below for interesting mathematical facts about the number 10137135520512 from the Numbermatics database.
Names of 10137135520512
- Cardinal: 10137135520512 can be written as Ten trillion, one hundred thirty-seven billion, one hundred thirty-five million, five hundred twenty thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.0137135520512 × 1013
Factors of 10137135520512
Divisors of 10137135520512
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 19 21 22 24 26 28 32 33 36 38 39 42 44 48 52 56 57 63 64 66 72 73 76 77 78 84 88 91 96 99 104 112 114 117 126 128 132 133 143 144 146 152 154 156 168 171 176 182 192 198 208 209 219 224 228 231 234 247 252 256 264 266 273 286 288 292 304 308 312 336 342 352 364 384 396 399 416 418 429 438 448 456 462 468 494 504 511 528 532 546 572 576 584 608 616 624 627 657 672 684 693 704 728 741 768 792 798 803 819 832 836 858 876 896 912 924 936 949 988 1001 1008 1022 1056 1064 1092 1144 1152 1168 1197 1216 1232 1248 1254 1287 1314 1344 1368 1386 1387 1408 1456 1463 1482 1533 1584 1596 1606 1638 1664 1672 1716 1729 1752 1792 1824 1848 1872 1881 1898 1976 2002 2016 2044 2112 2128 2184 2223 2288 2304 2336 2394 2409 2432 2464 2496 2508 2574 2628 2688 2717 2736 2772 2774 2816 2847 2912 2926 2964 3003 3066 3168 3169 3192 3212 3276 3328 3344 3432 3458 3504 3648 3696 3744 3762 3796 3952 4004 4032 4088 4161 4224 4256 4368 4389 4446 4576 4599 4672 4788 4818 4864 4928 4992 5016 5148 5187 5256 5376 5434 5472 5544 5548 5621 5694 5824 5852 5928 6006 6132 6336 6338 6384 6424 6552 6643 6688 6864 6916 7008 7227 7296 7392 7488 7524 7592 7904 8008 8064 8151 8176 8322 8448 8512 8541 8736 8778 8892 9009 9152 9198 9344 9507 9576 9636 9709 9856 9984 10032 10296 10374 10439 10512 10868 10944 11088 11096 11242 11388 11648 11704 11856 12012 12264 12483 12672 12676 12768 12848 13104 13167 13286 13376 13728 13832 14016 14454 14592 14784 14976 15048 15184 15257 15561 15808 16016 16128 16302 16352 16644 16863 17024 17082 17472 17556 17784 18018 18031 18304 18396 18688 19014 19019 19152 19272 19418 19712 19929 20064 20592 20748 20878 21024 21736 21888 22176 22183 22192 22484 22776 23296 23408 23712 24024 24453 24528 24966 25344 25352 25536 25696 26208 26334 26572 26752 27456 27664 28032 28521 28908 29127 29568 29952 30096 30368 30514 31122 31317 31616 32032 32604 32704 33288 33726 34048 34164 34859 34944 35112 35568 36036 36062 36608 36792 38028 38038 38304 38544 38836 39858 40128 41184 41197 41496 41756 42048 43472 43776 44352 44366 44384 44968 45552 45771 46816 47424 48048 48906 49056 49932 50589 50704 51072 51392 52416 52668 53144 53504 54093 54912 55328 56064 57042 57057 57816 58254 59136 59787 60192 60211 60736 61028 62244 62634 63232 64064 65208 65408 66549 66576 67452 68328 69718 69888 70224 71136 72072 72124 73073 73584 76056 76076 76608 77088 77672 79716 80256 82368 82394 82992 83512 84096 86944 87381 88704 88732 88768 89936 91104 91542 93632 93951 94848 96096 97812 98112 99864 101178 101408 102144 102784 104577 104832 105336 106288 106799 108186 109824 110656 114084 114114 115632 116508 119574 120384 120422 121472 122056 123591 124488 125268 126217 128128 130416 130816 133098 133152 134904 136656 137313 139436 140448 142272 144144 144248 146146 147168 152112 152152 153216 154176 155344 159432 160512 162279 164736 164788 165984 167024 168192 171171 173888 174762 177408 177464 177536 179872 180633 182208 183084 187264 187902 189696 192192 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7542511548 7714715008 7876562176 8083840128 8122704744 8228194416 8336460132 8468784896 8679054384 8799596806 8861132448 9283091136 9527383008 9599560152 9918919296 10056682064 10127008512 10260258624 10681913088 10830272992 10970925888 11115280176 11313767322 11572072512 11814843264 12125760192 12184057116 12377454848 12624079104 12703177344 12799413536 13199395209 13680344832 13924636704 14399340228 14627901184 14820373568 15085023096 15429430016 16167680256 16245409488 16456388832 16672920264 17358108768 17599193612 17722264896 18566182272 19054766016 19199120304 19837838592 20113364128 20520517248 21660545984 21941851776 22230560352 22627534644 23144145024 23629686528 24251520384 24368114232 25406354688 25598827072 26398790418 27849273408 28798680456 29640747136 30170046192 32490818976 32912777664 33345840528 34716217536 35198387224 35444529792 37132364544 38109532032 38398240608 39598185627 40226728256 41041034496 43321091968 43883703552 44461120704 45255069288 46288290048 48503040768 48736228464 51197654144 52797580836 55698546816 57597360912 59281494272 60340092384 64981637952 65825555328 66691681056 69432435072 70396774448 70889059584 76219064064 76796481216 79196371254 80453456512 86642183936 88922241408 90510138576 97472456928 102395308288 105595161672 111397093632 115194721824 120680184768 129963275904 131651110656 133383362112 138864870144 140793548896 153592962432 158392742508 160906913024 177844482816 181020277152 194944913856 211190323344 230389443648 241360369536 259926551808 266766724224 281587097792 307185924864 316785485016 362040554304 389889827712 422380646688 460778887296 482720739072 533533448448 563174195584 633570970032 724081108608 779779655424 844761293376 921557774592 1126348391168 1267141940064 1448162217216 1689522586752 2534283880128 3379045173504 5068567760256 10137135520512
- Sum of all divisors σ(n): 41887505587200
- Sum of proper divisors (its aliquot sum) s(n): 31750370066688
- 10137135520512 is an abundant number, because the sum of its proper divisors (31750370066688) is greater than itself. Its abundance is 21613234546176
Bases of 10137135520512
- Binary: 100100111000001111000101110010011011000000002
- Hexadecimal: 0x9383C5C9B00
- Base-36: 3LCXOR7K0
Squares and roots of 10137135520512
- 10137135520512 squared (101371355205122) is 102761516561226097172742144
- 10137135520512 cubed (101371355205123) is 1041707419674487220880123725495798857728
-
The
square root of 10137135520512 is 3183886.8573666371 -
The
cube root of 10137135520512 is 21642.3832885667
Scales and comparisons
How big is 10137135520512?- 10,137,135,520,512 seconds is equal to 322,329 years, 28 weeks, 5 days, 9 hours, 55 minutes, 12 seconds.
-
To count from 1 to 10,137,135,520,512 would take you about eight hundred five thousand, eight hundred twenty-three 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 10137135520512 cubic inches would be around 1803.5 feet tall.
Recreational maths with 10137135520512
- 10137135520512 backwards is 21502553173101
- 10137135520512 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 10137135520512's digits is 36
- More coming soon!
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"Number 10137135520512 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 10137135520512 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/10137135520512/
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The information we have on file for 10137135520512 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!
Keywords: Divisors of 10137135520512, math, Factors of 10137135520512, curriculum, school, college, exams, university, Prime factorization of 10137135520512, STEM, science, technology, engineering, physics, economics, calculator, ten trillion, one hundred thirty-seven billion, one hundred thirty-five million, five hundred twenty thousand, five hundred twelve.