137481344
137,481,344 is an even composite number composed of six prime numbers multiplied together.
137481344 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 137481344:
27 × 7 × 11 × 13 × 29 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 13 × 29 × 37)See below for interesting mathematical facts about the number 137481344 from the Numbermatics database.
Names of 137481344
- Cardinal: 137481344 can be written as One hundred thirty-seven million, four hundred eighty-one thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.37481344 × 108
Factors of 137481344
Divisors of 137481344
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 29 32 37 44 52 56 58 64 74 77 88 91 104 112 116 128 143 148 154 176 182 203 208 224 232 259 286 296 308 319 352 364 377 406 407 416 448 464 481 518 572 592 616 638 704 728 754 812 814 832 896 928 962 1001 1036 1073 1144 1184 1232 1276 1408 1456 1508 1624 1628 1664 1856 1924 2002 2072 2146 2233 2288 2368 2464 2552 2639 2849 2912 3016 3248 3256 3367 3712 3848 4004 4144 4147 4292 4466 4576 4736 4928 5104 5278 5291 5698 5824 6032 6496 6512 6734 7511 7696 8008 8288 8294 8584 8932 9152 9856 10208 10556 10582 11396 11648 11803 12064 12992 13024 13468 13949 15022 15392 16016 16576 16588 17168 17864 18304 20416 21112 21164 22792 23606 24128 25984 26048 26936 27898 29029 30044 30784 32032 33152 33176 34336 35728 37037 40832 42224 42328 45584 47212 48256 52096 53872 55796 58058 60088 61568 64064 66352 68672 71456 74074 82621 84448 84656 91168 94424 97643 107744 111592 116116 120176 128128 132704 137344 142912 148148 153439 165242 168896 169312 182336 188848 195286 215488 223184 232232 240352 265408 285824 296296 306878 330484 337792 338624 364672 377696 390572 430976 446368 464464 480704 530816 592592 613756 660968 677248 755392 781144 892736 928928 961408 1074073 1185184 1227512 1321936 1510784 1562288 1785472 1857856 2148146 2370368 2455024 2643872 3124576 3715712 4296292 4740736 4910048 5287744 6249152 8592584 9820096 10575488 12498304 17185168 19640192 34370336 68740672 137481344
- Sum of all divisors σ(n): 390700800
- Sum of proper divisors (its aliquot sum) s(n): 253219456
- 137481344 is an abundant number, because the sum of its proper divisors (253219456) is greater than itself. Its abundance is 115738112
Bases of 137481344
- Binary: 10000011000111001100100000002
- Hexadecimal: 0x831CC80
- Base-36: 29UPA8
Squares and roots of 137481344
- 137481344 squared (1374813442) is 18901119948046336
- 137481344 cubed (1374813443) is 2598551373562620447555584
-
The
square root of 137481344 is 11725.2438780609 -
The
cube root of 137481344 is 516.1167133781
Scales and comparisons
How big is 137481344?- 137,481,344 seconds is equal to 4 years, 19 weeks, 2 days, 5 hours, 15 minutes, 44 seconds.
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To count from 1 to 137,481,344 would take you about six 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 137481344 cubic inches would be around 43 feet tall.
Recreational maths with 137481344
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