137609741337984

Names of 137609741337984

• Cardinal: 137609741337984 can be written as One hundred thirty-seven trillion, six hundred nine billion, seven hundred forty-one million, three hundred thirty-seven thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.37609741337984 × 10¹⁴

Factors of 137609741337984

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 103240

Divisors of 137609741337984

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 557 576 701 864 1114 1152 1402 1671 1728 2103 2228 2804 3342 3456 4206 4456 5013 5608 6309 6684 8412 8912 10026 11216 12618 13368 15039 16824 17824 18927 20052 22432 25236 26736 30078 33648 35648 37854 40104 44864 50472 53472 60156 67296 71296 75708 80208 89728 100944 101977 106944 120312 134592 151416 160416 201888 203954 213888 240624 269184 302832 305931 320832 390457 403776 407908 481248 605664 611862 641664 780914 807552 815816 917793 962496 1171371 1211328 1223724 1561828 1631632 1835586 1924992 2342742 2422656 2447448 2753379 3123656 3263264 3514113 3671172 4685484 4894896 5506758 6247312 6526528 7028226 7342344 9370968 9789792 10542339 11013516 12494624 13053056 14056452 14684688 18741936 19579584 21084678 22027032 24989248 28112904 29369376 37483872 39159168 42169356 44054064 49978496 56225808 56801189 58738752 71485877 74967744 84338712 88108128 112451616 113602378 117477504 142971754 149935488 168677424 170403567 176216256 214457631 224903232 227204756 285943508 337354848 340807134 352432512 428915262 449806464 454409512 511210701 571887016 643372893 674709696 681614268 857830524 908819024 1022421402 1143774032 1286745786 1349419392 1363228536 1533632103 1715661048 1817638048 1930118679 2044842804 2287548064 2573491572 2726457072 3067264206 3431322096 3635276096 3860237358 4089685608 4575096128 5146983144 5452914144 6134528412 6862644192 7270552192 7720474716 8179371216 9150192256 10293966288 10905828288 12269056824 13725288384 15440949432 16358742432 20587932576 21811656576 24538113648 27450576768 30881898864 32717484864 39817633489 41175865152 49076227296 61763797728 65434969728 79635266978 82351730304 98152454592 119452900467 123527595456 159270533956 196304909184 238905800934 247055190912 318541067912 358358701401 477811601868 637082135824 716717402802 955623203736 1075076104203 1274164271648 1433434805604 1911246407472 2150152208406 2548328543296 2866869611208 3822492814944 4300304416812 5096657086592 5733739222416 7644985629888 8600608833624 11467478444832 15289971259776 17201217667248 22934956889664 34402435334496 45869913779328 68804870668992 137609741337984
• Sum of all divisors σ(n): 407453425329600
• Sum of proper divisors (its aliquot sum) s(n): 269843683991616
• 137609741337984 is an abundant number, because the sum of its proper divisors (269843683991616) is greater than itself. Its abundance is 132233942653632

Bases of 137609741337984

• Binary: 11111010010011111000011110000000000010110000000₂
• Hexadecimal: 0x7D27C3C00580
• Base-36: 1CS11J0IO0

Squares and roots of 137609741337984

• 137609741337984 squared (137609741337984²) is 18936440911106862518521184256
• 137609741337984 cubed (137609741337984³) is 2605838735639433419395849689941301635579904
• The square root of 137609741337984 is 11730717.8526287981
• The cube root of 137609741337984 is 51627.7334911727

Scales and comparisons

• 137,609,741,337,984 seconds is equal to 4,375,564 years, 6 weeks, 1 day, 13 hours, 26 minutes, 24 seconds.
• To count from 1 to 137,609,741,337,984 would take you about ten million, nine hundred thirty-eight thousand, nine hundred ten 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 137609741337984 cubic inches would be around 4302.3 feet tall.

Recreational maths with 137609741337984

• 137609741337984 backwards is 489733147906731
• 137609741337984 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137609741337984's digits is 72
• More coming soon!