137412864
137,412,864 is an even composite number composed of five prime numbers multiplied together.
137412864 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 137412864:
28 × 32 × 19 × 43 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 19 × 43 × 73)See below for interesting mathematical facts about the number 137412864 from the Numbermatics database.
Names of 137412864
- Cardinal: 137412864 can be written as One hundred thirty-seven million, four hundred twelve thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.37412864 × 108
Factors of 137412864
Divisors of 137412864
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 43 48 57 64 72 73 76 86 96 114 128 129 144 146 152 171 172 192 219 228 256 258 288 292 304 342 344 384 387 438 456 516 576 584 608 657 684 688 768 774 817 876 912 1032 1152 1168 1216 1314 1368 1376 1387 1548 1634 1752 1824 2064 2304 2336 2432 2451 2628 2736 2752 2774 3096 3139 3268 3504 3648 4128 4161 4672 4864 4902 5256 5472 5504 5548 6192 6278 6536 7008 7296 7353 8256 8322 9344 9417 9804 10512 10944 11008 11096 12384 12483 12556 13072 14016 14592 14706 16512 16644 18688 18834 19608 21024 21888 22192 24768 24966 25112 26144 28032 28251 29412 33024 33288 37668 39216 42048 43776 44384 49536 49932 50224 52288 56064 56502 58824 59641 66576 75336 78432 84096 88768 99072 99864 100448 104576 113004 117648 119282 133152 150672 156864 168192 177536 178923 199728 200896 209152 226008 235296 238564 266304 301344 313728 355072 357846 399456 401792 452016 470592 477128 532608 536769 602688 627456 715692 798912 803584 904032 941184 954256 1065216 1073538 1205376 1431384 1597824 1808064 1882368 1908512 2147076 2410752 2862768 3195648 3616128 3817024 4294152 5725536 7232256 7634048 8588304 11451072 15268096 17176608 22902144 34353216 45804288 68706432 137412864
- Sum of all divisors σ(n): 432592160
- Sum of proper divisors (its aliquot sum) s(n): 295179296
- 137412864 is an abundant number, because the sum of its proper divisors (295179296) is greater than itself. Its abundance is 157766432
Bases of 137412864
- Binary: 10000011000011000001000000002
- Hexadecimal: 0x830C100
- Base-36: 29T8G0
Squares and roots of 137412864
- 137412864 squared (1374128642) is 18882295192682496
- 137412864 cubed (1374128643) is 2594670261319933618028544
-
The
square root of 137412864 is 11722.3233192059 -
The
cube root of 137412864 is 516.0310058887
Scales and comparisons
How big is 137412864?- 137,412,864 seconds is equal to 4 years, 19 weeks, 1 day, 10 hours, 14 minutes, 24 seconds.
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To count from 1 to 137,412,864 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 137412864 cubic inches would be around 43 feet tall.
Recreational maths with 137412864
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Keywords: Divisors of 137412864, math, Factors of 137412864, curriculum, school, college, exams, university, Prime factorization of 137412864, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven million, four hundred twelve thousand, eight hundred sixty-four.