137993806272
137,993,806,272 is an even composite number composed of five prime numbers multiplied together.
What does the number 137993806272 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 392 divisors.
137993806272 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred ninety-two divisors.
Prime factorization of 137993806272:
26 × 3 × 76 × 41 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 41 × 149)See below for interesting mathematical facts about the number 137993806272 from the Numbermatics database.
Names of 137993806272
- Cardinal: 137993806272 can be written as One hundred thirty-seven billion, nine hundred ninety-three million, eight hundred six thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 1.37993806272 × 1011
Factors of 137993806272
Divisors of 137993806272
- Number of divisors d(n): 392
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 49 56 64 82 84 96 98 112 123 147 149 164 168 192 196 224 246 287 294 298 328 336 343 392 447 448 492 574 588 596 656 672 686 784 861 894 984 1029 1043 1148 1176 1192 1312 1344 1372 1568 1722 1788 1968 2009 2058 2086 2296 2352 2384 2401 2624 2744 3129 3136 3444 3576 3936 4018 4116 4172 4592 4704 4768 4802 5488 6027 6109 6258 6888 7152 7203 7301 7872 8036 8232 8344 9184 9408 9536 9604 10976 12054 12218 12516 13776 14063 14304 14406 14602 16072 16464 16688 16807 18327 18368 19208 21903 21952 24108 24436 25032 27552 28126 28608 28812 29204 32144 32928 33376 33614 36654 38416 42189 42763 43806 48216 48872 50064 50421 51107 55104 56252 57624 58408 64288 65856 66752 67228 73308 76832 84378 85526 87612 96432 97744 98441 100128 100842 102214 112504 115248 116816 117649 128289 128576 134456 146616 153321 153664 168756 171052 175224 192864 195488 196882 200256 201684 204428 225008 230496 233632 235298 256578 268912 293232 295323 299341 306642 337512 342104 350448 352947 357749 385728 390976 393764 403368 408856 450016 460992 467264 470596 513156 537824 586464 590646 598682 613284 675024 684208 689087 700896 705894 715498 787528 806736 817712 898023 900032 941192 1026312 1073247 1075648 1172928 1181292 1197364 1226568 1350048 1368416 1378174 1401792 1411788 1430996 1575056 1613472 1635424 1796046 1882384 2052624 2067261 2095387 2146494 2362584 2394728 2453136 2504243 2700096 2736832 2756348 2823576 2861992 3150112 3226944 3270848 3592092 3764768 4105248 4134522 4190774 4292988 4725168 4789456 4823609 4906272 5008486 5512696 5647152 5723984 6286161 6300224 7184184 7512729 7529536 8210496 8269044 8381548 8585976 9450336 9578912 9647218 9812544 10016972 11025392 11294304 11447968 12572322 14368368 14470827 14667709 15025458 16538088 16763096 17171952 17529701 18900672 19157824 19294436 20033944 22050784 22588608 22895936 25144644 28736736 28941654 29335418 30050916 33076176 33526192 34343904 35059402 38588872 40067888 44003127 44101568 50289288 52589103 57473472 57883308 58670836 60101832 66152352 67052384 68687808 70118804 77177744 80135776 88006254 100578576 102673963 105178206 115766616 117341672 120203664 132304704 134104768 140237608 154355488 160271552 176012508 201157152 205347926 210356412 231533232 234683344 240407328 280475216 308021889 308710976 352025016 402314304 410695852 420712824 463066464 469366688 480814656 560950432 616043778 704050032 718717741 821391704 841425648 926132928 938733376 1121900864 1232087556 1408100064 1437435482 1642783408 1682851296 2156153223 2464175112 2816200128 2874870964 3285566816 3365702592 4312306446 4928350224 5749741928 6571133632 8624612892 9856700448 11499483856 17249225784 19713400896 22998967712 34498451568 45997935424 68996903136 137993806272
- Sum of all divisors σ(n): 439277302800
- Sum of proper divisors (its aliquot sum) s(n): 301283496528
- 137993806272 is an abundant number, because the sum of its proper divisors (301283496528) is greater than itself. Its abundance is 163289690256
Bases of 137993806272
- Binary: 100000001000010001001001100001110000002
- Hexadecimal: 0x20211261C0
- Base-36: 1RE5Y6DC
Squares and roots of 137993806272
- 137993806272 squared (1379938062722) is 19042290569434266537984
- 137993806272 cubed (1379938062723) is 2627718155813644741280976225435648
-
The
square root of 137993806272 is 371475.1758489385 -
The
cube root of 137993806272 is 5167.5719395793
Scales and comparisons
How big is 137993806272?- 137,993,806,272 seconds is equal to 4,387 years, 40 weeks, 2 days, 12 hours, 51 minutes, 12 seconds.
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To count from 1 to 137,993,806,272 would take you about eight thousand, seven hundred seventy-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 137993806272 cubic inches would be around 430.6 feet tall.
Recreational maths with 137993806272
- 137993806272 backwards is 272608399731
- The number of decimal digits it has is: 12
- The sum of 137993806272's digits is 57
- More coming soon!
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