137744125083955416
137,744,125,083,955,416 is an even composite number composed of seven prime numbers multiplied together.
137744125083955416 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 137744125083955416:
23 × 3 × 13 × 17 × 1093 × 45319 × 524287
(2 × 2 × 2 × 3 × 13 × 17 × 1093 × 45319 × 524287)See below for interesting mathematical facts about the number 137744125083955416 from the Numbermatics database.
Names of 137744125083955416
- Cardinal: 137744125083955416 can be written as One hundred thirty-seven quadrillion, seven hundred forty-four trillion, one hundred twenty-five billion, eighty-three million, nine hundred fifty-five thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.37744125083955416 × 1017
Factors of 137744125083955416
Divisors of 137744125083955416
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1093 1326 1768 2186 2652 3279 4372 5304 6558 8744 13116 14209 18581 26232 28418 37162 42627 45319 55743 56836 74324 85254 90638 111486 113672 135957 148648 170508 181276 222972 241553 271914 341016 362552 445944 483106 524287 543828 589147 724659 770423 966212 1048574 1087656 1178294 1449318 1540846 1572861 1767441 1932424 2097148 2311269 2356588 2898636 3081692 3145722 3534882 4194296 4622538 4713176 5797272 6163384 6291444 6815731 7069764 8912879 9245076 10015499 12582888 13631462 14139528 17825758 18490152 20030998 20447193 26738637 27262924 30046497 35651516 40061996 40894386 49533667 53477274 54525848 60092994 71303032 80123992 81788772 99067334 106954548 115867427 120185988 148601001 163577544 198134668 213909096 231734854 240371976 297202002 347602281 396269336 463469708 573045691 594404004 643937671 695204562 842072339 926939416 1146091382 1188808008 1287875342 1390409124 1684144678 1719137073 1931813013 2292182764 2526217017 2575750684 2780818248 3368289356 3438274146 3863626026 4584365528 5052434034 5151501368 6736578712 6876548292 7449593983 7727252052 9741776747 10104868068 10946940407 13753096584 14899187966 15454504104 19483553494 20209736136 21893880814 22348781949 23760162553 29225330241 29798375932 32840821221 38967106988 43787761628 44697563898 47520325106 58450660482 59596751864 65681642442 71280487659 77934213976 87575523256 89395127796 95040650212 116901320964 126643097711 131363284884 142560975318 178790255592 190081300424 233802641928 253286195422 262726569768 285121950636 308882113189 379929293133 403922763401 506572390844 570243901272 617764226378 759858586266 807845526802 926646339567 1013144781688 1211768290203 1235528452756 1519717172532 1615691053604 1853292679134 2423536580406 2471056905512 3039434345064 3231382107208 3706585358268 4847073160812 5250995924213 7413170716536 9694146321624 10501991848426 15752987772639 21003983696852 25969857670429 31505975545278 42007967393704 51939715340858 63011951090556 77909573011287 103879430681716 126023902181112 155819146022574 207758861363432 311638292045148 337608149715577 441487580397293 623276584090296 675216299431154 882975160794586 1012824449146731 1324462741191879 1350432598862308 1765950321589172 2025648898293462 2648925482383758 2700865197724616 3531900643178344 4051297796586924 5297850964767516 5739338545164809 8102595593173848 10595701929535032 11478677090329618 17218015635494427 22957354180659236 34436031270988854 45914708361318472 68872062541977708 137744125083955416
- Sum of all divisors σ(n): 393032923663564800
- Sum of proper divisors (its aliquot sum) s(n): 255288798579609384
- 137744125083955416 is an abundant number, because the sum of its proper divisors (255288798579609384) is greater than itself. Its abundance is 117544673495653968
Bases of 137744125083955416
- Binary: 1111010010101110110001101010011011000011010110000110110002
- Hexadecimal: 0x1E95D8D4D86B0D8
- Base-36: 11OA7THN2HNC
Squares and roots of 137744125083955416
- 137744125083955416 squared (1377441250839554162) is 18973443995144355638910511875733056
- 137744125083955416 cubed (1377441250839554163) is 2613480442940586899735590769341636343596109021431296
-
The
square root of 137744125083955416 is 371138956.5701173009 -
The
cube root of 137744125083955416 is 516445.3383043229
Scales and comparisons
How big is 137744125083955416?- 137,744,125,083,955,416 seconds is equal to 4,379,837,107 years, 6 weeks, 5 hours, 23 minutes, 36 seconds.
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To count from 1 to 137,744,125,083,955,416 would take you about thirteen billion, one hundred thirty-nine million, five hundred eleven thousand, three hundred twenty-one 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 137744125083955416 cubic inches would be around 43037.1 feet tall.
Recreational maths with 137744125083955416
- 137744125083955416 backwards is 614559380521447731
- The number of decimal digits it has is: 18
- The sum of 137744125083955416's digits is 75
- More coming soon!
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