137920608
137,920,608 is an even composite number composed of five prime numbers multiplied together.
137920608 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 137920608:
25 × 32 × 7 × 37 × 432
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 37 × 43 × 43)See below for interesting mathematical facts about the number 137920608 from the Numbermatics database.
Names of 137920608
- Cardinal: 137920608 can be written as One hundred thirty-seven million, nine hundred twenty thousand, six hundred eight.
Scientific notation
- Scientific notation: 1.37920608 × 108
Factors of 137920608
Divisors of 137920608
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 43 48 56 63 72 74 84 86 96 111 112 126 129 144 148 168 172 222 224 252 258 259 288 296 301 333 336 344 387 444 504 516 518 592 602 666 672 688 774 777 888 903 1008 1032 1036 1184 1204 1332 1376 1548 1554 1591 1776 1806 1849 2016 2064 2072 2331 2408 2664 2709 3096 3108 3182 3552 3612 3698 4128 4144 4662 4773 4816 5328 5418 5547 6192 6216 6364 7224 7396 8288 9324 9546 9632 10656 10836 11094 11137 12384 12432 12728 12943 14319 14448 14792 16641 18648 19092 21672 22188 22274 24864 25456 25886 28638 28896 29584 33282 33411 37296 38184 38829 43344 44376 44548 50912 51772 57276 59168 66564 66822 68413 74592 76368 77658 86688 88752 89096 100233 103544 114552 116487 133128 133644 136826 152736 155316 177504 178192 200466 205239 207088 229104 232974 266256 267288 273652 310632 356384 400932 410478 414176 458208 465948 478891 532512 534576 547304 615717 621264 801864 820956 931896 957782 1069152 1094608 1231434 1242528 1436673 1603728 1641912 1863792 1915564 2189216 2462868 2873346 3207456 3283824 3727584 3831128 4310019 4925736 5746692 6567648 7662256 8620038 9851472 11493384 15324512 17240076 19702944 22986768 34480152 45973536 68960304 137920608
- Sum of all divisors σ(n): 471311568
- Sum of proper divisors (its aliquot sum) s(n): 333390960
- 137920608 is an abundant number, because the sum of its proper divisors (333390960) is greater than itself. Its abundance is 195470352
Bases of 137920608
- Binary: 10000011100010000000011000002
- Hexadecimal: 0x8388060
- Base-36: 2A4480
Squares and roots of 137920608
- 137920608 squared (1379206082) is 19022094111089664
- 137920608 cubed (1379206083) is 2623538785234706001395712
-
The
square root of 137920608 is 11743.9604903967 -
The
cube root of 137920608 is 516.6658071901
Scales and comparisons
How big is 137920608?- 137,920,608 seconds is equal to 4 years, 20 weeks, 7 hours, 16 minutes, 48 seconds.
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To count from 1 to 137,920,608 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 137920608 cubic inches would be around 43.1 feet tall.
Recreational maths with 137920608
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