137013631728633968
137,013,631,728,633,968 is an even composite number composed of five prime numbers multiplied together.
137013631728633968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 137013631728633968:
24 × 7 × 112 × 6113 × 1653887593
(2 × 2 × 2 × 2 × 7 × 11 × 11 × 6113 × 1653887593)See below for interesting mathematical facts about the number 137013631728633968 from the Numbermatics database.
Names of 137013631728633968
- Cardinal: 137013631728633968 can be written as One hundred thirty-seven quadrillion, thirteen trillion, six hundred thirty-one billion, seven hundred twenty-eight million, six hundred thirty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37013631728633968 × 1017
Factors of 137013631728633968
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 1653893726
Divisors of 137013631728633968
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 308 484 616 847 968 1232 1694 1936 3388 6113 6776 12226 13552 24452 42791 48904 67243 85582 97808 134486 171164 268972 342328 470701 537944 684656 739673 941402 1075888 1479346 1882804 2958692 3765608 5177711 5917384 7531216 10355422 11834768 20710844 41421688 82843376 1653887593 3307775186 6615550372 11577213151 13231100744 18192763523 23154426302 26462201488 36385527046 46308852604 72771054092 92617705208 127349344661 145542108184 185235410416 200120398753 254698689322 291084216368 400240797506 509397378644 800481595012 1018794757288 1400842791271 1600963190024 2037589514576 2801685582542 3201926380048 5603371165084 10110214856009 11206742330168 20220429712018 22413484660336 40440859424036 70771503992063 80881718848072 111212363416099 141543007984126 161763437696144 222424726832198 283086015968252 444849453664396 566172031936504 778486543912693 889698907328792 1132344063873008 1223335997577089 1556973087825386 1779397814657584 2446671995154178 3113946175650772 4893343990308356 6227892351301544 8563351983039623 9786687980616712 12455784702603088 17126703966079246 19573375961233424 34253407932158492 68506815864316984 137013631728633968
- Sum of all divisors σ(n): 333529878840632544
- Sum of proper divisors (its aliquot sum) s(n): 196516247111998576
- 137013631728633968 is an abundant number, because the sum of its proper divisors (196516247111998576) is greater than itself. Its abundance is 59502615383364608
Bases of 137013631728633968
- Binary: 1111001101100010100101100000100001001001001001000011100002
- Hexadecimal: 0x1E6C52C10924870
- Base-36: 11H3A1H4390W
Squares and roots of 137013631728633968
- 137013631728633968 squared (1370136317286339682) is 18772735279469732782143075323425024
- 137013631728633968 cubed (1370136317286339683) is 2572120638120400439974775044521550411132202587615232
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The
square root of 137013631728633968 is 370153524.5389863473 -
The
cube root of 137013631728633968 is 515530.7711374565
Scales and comparisons
How big is 137013631728633968?- 137,013,631,728,633,968 seconds is equal to 4,356,609,677 years, 51 weeks, 2 hours, 46 minutes, 8 seconds.
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To count from 1 to 137,013,631,728,633,968 would take you about thirteen billion, sixty-nine million, eight hundred twenty-nine thousand and thirty-three 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 137013631728633968 cubic inches would be around 42960.9 feet tall.
Recreational maths with 137013631728633968
- 137013631728633968 backwards is 869336827136310731
- 137013631728633968 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137013631728633968's digits is 77
- More coming soon!
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