137990956004020
137,990,956,004,020 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137990956004020 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 432 divisors.
137990956004020 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 137990956004020:
22 × 5 × 7 × 17 × 31 × 592 × 7332
(2 × 2 × 5 × 7 × 17 × 31 × 59 × 59 × 733 × 733)See below for interesting mathematical facts about the number 137990956004020 from the Numbermatics database.
Names of 137990956004020
- Cardinal: 137990956004020 can be written as One hundred thirty-seven trillion, nine hundred ninety billion, nine hundred fifty-six million, four thousand and twenty.
Scientific notation
- Scientific notation: 1.3799095600402 × 1014
Factors of 137990956004020
Divisors of 137990956004020
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 4 5 7 10 14 17 20 28 31 34 35 59 62 68 70 85 118 119 124 140 155 170 217 236 238 295 310 340 413 434 476 527 590 595 620 733 826 868 1003 1054 1085 1180 1190 1466 1652 1829 2006 2065 2108 2170 2380 2635 2932 3481 3658 3665 3689 4012 4130 4340 5015 5131 5270 6962 7021 7316 7330 7378 8260 9145 10030 10262 10540 12461 12803 13924 14042 14660 14756 17405 18290 18445 20060 20524 22723 24367 24922 25606 25655 28084 31093 34810 35105 36580 36890 43247 45446 48734 49844 51212 51310 59177 62186 62305 64015 69620 70210 73780 86494 87227 90892 97468 102620 107911 113615 118354 121835 124372 124610 128030 140420 155465 159061 172988 174454 215822 216235 217651 227230 236708 243670 249220 256060 295885 302729 310930 318122 348908 386291 414239 431644 432470 435302 436135 454460 487340 537289 539555 591770 605458 621860 636244 735199 755377 772582 795305 828478 864940 870604 872270 1074578 1079110 1088255 1183540 1210916 1340657 1470398 1510754 1513645 1545164 1590610 1656956 1744540 1834487 1931455 2071195 2149156 2158220 2176510 2551573 2681314 2686445 2704037 2940796 3021508 3027290 3181220 3668974 3675995 3761023 3776885 3862910 4142390 4353020 5103146 5146393 5362628 5372890 5408074 6054580 6703285 7337948 7351990 7522046 7553770 7725820 8284780 9133913 9172435 9384599 10206292 10292786 10745780 10816148 12757865 12841409 13406570 13520185 14703980 15044092 15107540 16655959 17861011 18267826 18344870 18769198 18805115 20585572 22791169 25515730 25682818 25731965 26813140 27040370 31700051 33311918 35722022 36535652 36689740 37538396 37610230 43376741 45582338 45669565 46922995 51031460 51365636 51463930 54080740 63400102 63937391 64207045 66623836 71444044 75220460 79098763 83279795 86753482 89305055 91164676 91339130 93845990 102927860 113955845 116591713 126800204 127874782 128414090 158197526 158500255 159538183 166559590 173506964 178610110 182678260 187691980 216883705 221900357 227911690 233183426 255749564 256828180 283151303 303637187 316395052 317000510 319076366 319686955 333119180 357220220 395493815 433767410 443800714 455823380 466366852 538900867 553691341 566302606 582958565 607274374 634001020 638152732 639373910 790987630 797690915 867534820 887601428 982701581 1077801734 1107382682 1109501785 1132605212 1165917130 1214548748 1278747820 1344678971 1415756515 1518185935 1581975260 1595381830 1870303009 1965403162 1982059121 2155603468 2214765364 2219003570 2331834260 2689357942 2694504335 2768456705 2831513030 3036371870 3190763660 3740606018 3772306069 3930806324 3964118242 4438007140 4913507905 5378715884 5389008670 5536913410 5663026060 6072743740 6723394855 6878911067 7481212036 7544612138 7928236484 9351515045 9412752797 9827015810 9910295605 10778017340 11073826820 13092121063 13446789710 13757822134 15089224276 16705926877 18703030090 18825505594 18861530345 19654031620 19820591210 26184242126 26893579420 27515644268 31795151153 33411853754 34394555335 37406060180 37651011188 37723060690 39641182420 47063763985 52368484252 57979393279 63590302306 65460605315 66823707508 68789110670 75446121380 83529634385 94127527970 115958786558 116941488139 127180604612 130921210630 137578221340 158975755765 167059268770 188255055940 222566058071 231917573116 233882976278 261842421260 289896966395 317951511530 334118537540 405855752953 445132116142 467765952556 579793932790 584707440695 635903023060 811711505906 890264232284 985649685743 1112830290355 1159587865580 1169414881390 1623423011812 1971299371486 2029278764765 2225660580710 2338829762780 3942598742972 4058557529530 4451321161420 4928248428715 6899547800201 8117115059060 9856496857430 13799095600402 19712993714860 27598191200804 34497739001005 68995478002010 137990956004020
- Sum of all divisors σ(n): 368713067240448
- Sum of proper divisors (its aliquot sum) s(n): 230722111236428
- 137990956004020 is an abundant number, because the sum of its proper divisors (230722111236428) is greater than itself. Its abundance is 92731155232408
Bases of 137990956004020
- Binary: 111110110000000100001011110101000110010101101002
- Hexadecimal: 0x7D8085EA32B4
- Base-36: 1CWW64DTIS
Squares and roots of 137990956004020
- 137990956004020 squared (1379909560040202) is 19041503938903383286256160400
- 137990956004020 cubed (1379909560040203) is 2627555332283590297139300835296092164808000
-
The
square root of 137990956004020 is 11746955.1801315731 -
The
cube root of 137990956004020 is 51675.3636052769
Scales and comparisons
How big is 137990956004020?- 137,990,956,004,020 seconds is equal to 4,387,685 years, 29 weeks, 3 days, 8 hours, 13 minutes, 40 seconds.
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To count from 1 to 137,990,956,004,020 would take you about ten million, nine hundred sixty-nine thousand, two hundred thirteen 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 137990956004020 cubic inches would be around 4306.3 feet tall.
Recreational maths with 137990956004020
- 137990956004020 backwards is 020400659099731
- The number of decimal digits it has is: 15
- The sum of 137990956004020's digits is 55
- More coming soon!
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