968137856
968,137,856 is an even composite number composed of six prime numbers multiplied together.
968137856 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 968137856:
27 × 7 × 19 × 29 × 37 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 19 × 29 × 37 × 53)See below for interesting mathematical facts about the number 968137856 from the Numbermatics database.
Names of 968137856
- Cardinal: 968137856 can be written as Nine hundred sixty-eight million, one hundred thirty-seven thousand, eight hundred fifty-six.
Scientific notation
- Scientific notation: 9.68137856 × 108
Factors of 968137856
Divisors of 968137856
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 4 7 8 14 16 19 28 29 32 37 38 53 56 58 64 74 76 106 112 116 128 133 148 152 203 212 224 232 259 266 296 304 371 406 424 448 464 518 532 551 592 608 703 742 812 848 896 928 1007 1036 1064 1073 1102 1184 1216 1406 1484 1537 1624 1696 1856 1961 2014 2072 2128 2146 2204 2368 2432 2812 2968 3074 3248 3392 3712 3857 3922 4028 4144 4256 4292 4408 4736 4921 5624 5936 6148 6496 6784 7049 7511 7714 7844 8056 8288 8512 8584 8816 9842 10759 11248 11872 12296 12992 13727 14098 15022 15428 15688 16112 16576 17024 17168 17632 19684 20387 21518 22496 23744 24592 25984 27454 28196 29203 30044 30856 31376 32224 33152 34336 35264 37259 39368 40774 43036 44992 47488 49184 54908 56392 56869 58406 60088 61712 62752 64448 68672 70528 74518 78736 81548 86072 89984 98368 109816 112784 113738 116812 120176 123424 125504 128896 137344 142709 149036 157472 163096 172144 196736 204421 219632 225568 227476 233624 240352 246848 251008 260813 285418 298072 314944 326192 344288 398083 408842 439264 451136 454952 467248 480704 493696 521626 570836 596144 629888 652384 688576 796166 817684 878528 902272 909904 934496 961408 1043252 1080511 1141672 1192288 1304768 1377152 1592332 1635368 1757056 1819808 1868992 2086504 2161022 2283344 2384576 2609536 3184664 3270736 3639616 3737984 4173008 4322044 4566688 4769152 6369328 6541472 7279232 7563577 8346016 8644088 9133376 12738656 13082944 15127154 16692032 17288176 18266752 25477312 26165888 30254308 33384064 34576352 50954624 60508616 69152704 121017232 138305408 242034464 484068928 968137856
- Sum of all divisors σ(n): 2511648000
- Sum of proper divisors (its aliquot sum) s(n): 1543510144
- 968137856 is an abundant number, because the sum of its proper divisors (1543510144) is greater than itself. Its abundance is 575372288
Bases of 968137856
- Binary: 1110011011010010011100100000002
- Hexadecimal: 0x39B49C80
- Base-36: G0EJY8
Squares and roots of 968137856
- 968137856 squared (9681378562) is 937290908220276736
- 968137856 cubed (9681378563) is 907426810332671494917718016
-
The
square root of 968137856 is 31114.9137231649 -
The
cube root of 968137856 is 989.2644456377
Scales and comparisons
How big is 968137856?- 968,137,856 seconds is equal to 30 years, 40 weeks, 5 days, 7 hours, 10 minutes, 56 seconds.
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To count from 1 to 968,137,856 would take you about forty-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 968137856 cubic inches would be around 82.4 feet tall.
Recreational maths with 968137856
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