137311494135120832
137,311,494,135,120,832 is an even composite number composed of six prime numbers multiplied together.
137311494135120832 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 137311494135120832:
26 × 19 × 73 × 853 × 1453 × 1248061
(2 × 2 × 2 × 2 × 2 × 2 × 19 × 73 × 853 × 1453 × 1248061)See below for interesting mathematical facts about the number 137311494135120832 from the Numbermatics database.
Names of 137311494135120832
- Cardinal: 137311494135120832 can be written as One hundred thirty-seven quadrillion, three hundred eleven trillion, four hundred ninety-four billion, one hundred thirty-five million, one hundred twenty thousand, eight hundred thirty-two.
Scientific notation
- Scientific notation: 1.37311494135120832 × 1017
Factors of 137311494135120832
Divisors of 137311494135120832
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 4 8 16 19 32 38 64 73 76 146 152 292 304 584 608 853 1168 1216 1387 1453 1706 2336 2774 2906 3412 4672 5548 5812 6824 11096 11624 13648 16207 22192 23248 27296 27607 32414 44384 46496 54592 55214 62269 64828 88768 92992 106069 110428 124538 129656 212138 220856 249076 259312 424276 441712 498152 518624 848552 883424 996304 1037248 1183111 1239409 1248061 1697104 1766848 1992608 2015311 2366222 2478818 2496122 3394208 3985216 4030622 4732444 4957636 4992244 6788416 8061244 9464888 9915272 9984488 16122488 18929776 19830544 19968976 23548771 23713159 32244976 37859552 39661088 39937952 47097542 47426318 64489952 75719104 79322176 79875904 90476857 91108453 94195084 94852636 128979904 180953714 182216906 188390168 189705272 361907428 364433812 376780336 379410544 723814856 728867624 753560672 758821088 1064596033 1447629712 1457735248 1507121344 1517642176 1719060283 1731060607 1813432633 2129192066 2895259424 2915470496 3438120566 3462121214 3626865266 4258384132 5790518848 5830940992 6876241132 6924242428 7253730532 8516768264 13752482264 13848484856 14507461064 17033536528 20227324627 27504964528 27696969712 29014922128 34067073056 34455220027 40454649254 55009929056 55393939424 58029844256 68134146112 68910440054 77715510409 80909298508 110019858112 110787878848 116059688512 132380582209 137820880108 155431020818 161818597016 264761164418 275641760216 310862041636 323637194032 529522328836 551283520432 621724083272 647274388064 1059044657672 1102567040864 1243448166544 1294548776128 1476594697771 1546858035949 2118089315344 2205134081728 2486896333088 2515231061971 2953189395542 3093716071898 4236178630688 4973792666176 5030462123942 5906378791084 6187432143796 8472357261376 10060924247884 11812757582168 12374864287592 20121848495768 23625515164336 24749728575184 29390302683031 40243696991536 47251030328672 49499457150368 58780605366062 80487393983072 94502060657344 98998914300736 112920636624277 117561210732124 160974787966144 225841273248554 235122421464248 451682546497108 470244842928496 903365092994216 940489685856992 1806730185988432 1880979371713984 2145492095861263 3613460371976864 4290984191722526 7226920743953728 8581968383445052 17163936766890104 34327873533780208 68655747067560416 137311494135120832
- Sum of all divisors σ(n): 291288858683520320
- Sum of proper divisors (its aliquot sum) s(n): 153977364548399488
- 137311494135120832 is an abundant number, because the sum of its proper divisors (153977364548399488) is greater than itself. Its abundance is 16665870413278656
Bases of 137311494135120832
- Binary: 1111001111101010000010011100011111000000010000011110000002
- Hexadecimal: 0x1E7D4138F8083C0
- Base-36: 11K0V1KQBZR4
Squares and roots of 137311494135120832
- 137311494135120832 squared (1373114941351208322) is 18854446421619322643143655240372224
- 137311494135120832 cubed (1373114941351208323) is 2588932209243131578786709820494448985142910896570368
-
The
square root of 137311494135120832 is 370555655.9211056383 -
The
cube root of 137311494135120832 is 515904.0821540703
Scales and comparisons
How big is 137311494135120832?- 137,311,494,135,120,832 seconds is equal to 4,366,080,781 years, 8 weeks, 1 day, 16 hours, 13 minutes, 52 seconds.
-
To count from 1 to 137,311,494,135,120,832 would take you about thirteen billion, ninety-eight million, two hundred forty-two thousand, three hundred forty-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 137311494135120832 cubic inches would be around 42992 feet tall.
Recreational maths with 137311494135120832
- 137311494135120832 backwards is 238021531494113731
- The number of decimal digits it has is: 18
- The sum of 137311494135120832's digits is 58
- More coming soon!
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