137116672
137,116,672 is an even composite number composed of five prime numbers multiplied together.
137116672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred seventy-six divisors.
Prime factorization of 137116672:
210 × 7 × 11 × 37 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 37 × 47)See below for interesting mathematical facts about the number 137116672 from the Numbermatics database.
Names of 137116672
- Cardinal: 137116672 can be written as One hundred thirty-seven million, one hundred sixteen thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.37116672 × 108
Factors of 137116672
Divisors of 137116672
- Number of divisors d(n): 176
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Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 37 44 47 56 64 74 77 88 94 112 128 148 154 176 188 224 256 259 296 308 329 352 376 407 448 512 517 518 592 616 658 704 752 814 896 1024 1034 1036 1184 1232 1316 1408 1504 1628 1739 1792 2068 2072 2368 2464 2632 2816 2849 3008 3256 3478 3584 3619 4136 4144 4736 4928 5264 5632 5698 6016 6512 6956 7168 7238 8272 8288 9472 9856 10528 11264 11396 12032 12173 13024 13912 14476 16544 16576 18944 19129 19712 21056 22792 24064 24346 26048 27824 28952 33088 33152 37888 38258 39424 42112 45584 48128 48692 52096 55648 57904 66176 66304 76516 78848 84224 91168 97384 104192 111296 115808 132352 132608 133903 153032 168448 182336 194768 208384 222592 231616 264704 265216 267806 306064 336896 364672 389536 416768 445184 463232 529408 535612 612128 729344 779072 890368 926464 1071224 1224256 1458688 1558144 1780736 1852928 2142448 2448512 2917376 3116288 3705856 4284896 4897024 6232576 8569792 9794048 12465152 17139584 19588096 34279168 68558336 137116672
- Sum of all divisors σ(n): 358437888
- Sum of proper divisors (its aliquot sum) s(n): 221321216
- 137116672 is an abundant number, because the sum of its proper divisors (221321216) is greater than itself. Its abundance is 84204544
Bases of 137116672
- Binary: 10000010110000111100000000002
- Hexadecimal: 0x82C3C00
- Base-36: 29MVWG
Squares and roots of 137116672
- 137116672 squared (1371166722) is 18800981740355584
- 137116672 cubed (1371166723) is 2577928046570325774696448
-
The
square root of 137116672 is 11709.6828308883 -
The
cube root of 137116672 is 515.6599726851
Scales and comparisons
How big is 137116672?- 137,116,672 seconds is equal to 4 years, 18 weeks, 4 days, 23 hours, 57 minutes, 52 seconds.
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To count from 1 to 137,116,672 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 137116672 cubic inches would be around 43 feet tall.
Recreational maths with 137116672
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