137984337327744
137,984,337,327,744 is an even composite number composed of five prime numbers multiplied together.
What does the number 137984337327744 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 192 divisors.
137984337327744 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 137984337327744:
27 × 32 × 733 × 1979 × 82571
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 733 × 1979 × 82571)See below for interesting mathematical facts about the number 137984337327744 from the Numbermatics database.
Names of 137984337327744
- Cardinal: 137984337327744 can be written as One hundred thirty-seven trillion, nine hundred eighty-four billion, three hundred thirty-seven million, three hundred twenty-seven thousand, seven hundred forty-four.
Scientific notation
- Scientific notation: 1.37984337327744 × 1014
Factors of 137984337327744
Divisors of 137984337327744
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 733 1152 1466 1979 2199 2932 3958 4398 5864 5937 6597 7916 8796 11728 11874 13194 15832 17592 17811 23456 23748 26388 31664 35184 35622 46912 47496 52776 63328 70368 71244 82571 93824 94992 105552 126656 140736 142488 165142 189984 211104 247713 253312 281472 284976 330284 379968 422208 495426 569952 660568 743139 759936 844416 990852 1139904 1321136 1450607 1486278 1981704 2279808 2642272 2901214 2972556 3963408 4351821 5284544 5802428 5945112 7926816 8703642 10569088 11604856 11890224 13055463 15853632 17407284 23209712 23780448 26110926 31707264 34814568 46419424 47560896 52221852 60524543 69629136 92838848 95121792 104443704 121049086 139258272 163408009 181573629 185677696 208887408 242098172 278516544 326816018 363147258 417774816 484196344 490224027 544720887 557033088 653632036 726294516 835549632 968392688 980448054 1089441774 1307264072 1452589032 1470672081 1671099264 1936785376 1960896108 2178883548 2614528144 2905178064 2941344162 3873570752 3921792216 4357767096 5229056288 5810356128 5882688324 7747141504 7843584432 8715534192 10458112576 11620712256 11765376648 15687168864 17431068384 20916225152 23241424512 23530753296 31374337728 34862136768 47061506592 62748675456 69724273536 94123013184 119778070597 188246026368 239556141194 359334211791 479112282388 718668423582 958224564776 1078002635373 1437336847164 1916449129552 2156005270746 2874673694328 3832898259104 4312010541492 5749347388656 7665796518208 8624021082984 11498694777312 15331593036416 17248042165968 22997389554624 34496084331936 45994779109248 68992168663872 137984337327744
- Sum of all divisors σ(n): 397811731917600
- Sum of proper divisors (its aliquot sum) s(n): 259827394589856
- 137984337327744 is an abundant number, because the sum of its proper divisors (259827394589856) is greater than itself. Its abundance is 121843057262112
Bases of 137984337327744
- Binary: 111110101111110111110110110100100110110100000002
- Hexadecimal: 0x7D7EFB693680
- Base-36: 1CWT4NSM80
Squares and roots of 137984337327744
- 137984337327744 squared (1379843373277442) is 19039677347776646198872129536
- 137984337327744 cubed (1379843373277443) is 2627177261767018962504650073606224854646784
-
The
square root of 137984337327744 is 11746673.4579515745 -
The
cube root of 137984337327744 is 51674.5373966095
Scales and comparisons
How big is 137984337327744?- 137,984,337,327,744 seconds is equal to 4,387,475 years, 5 weeks, 6 days, 7 hours, 2 minutes, 24 seconds.
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To count from 1 to 137,984,337,327,744 would take you about ten million, nine hundred sixty-eight thousand, six hundred eighty-seven 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 137984337327744 cubic inches would be around 4306.2 feet tall.
Recreational maths with 137984337327744
- 137984337327744 backwards is 447723733489731
- 137984337327744 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137984337327744's digits is 72
- More coming soon!
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