137632006400

Names of 137632006400

• Cardinal: 137632006400 can be written as One hundred thirty-seven billion, six hundred thirty-two million, six thousand, four hundred.

Scientific notation

• Scientific notation: 1.376320064 × 10¹¹

Factors of 137632006400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 50438

Divisors of 137632006400

• Number of divisors d(n): 216
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 61 64 70 80 100 112 122 128 140 160 175 200 224 244 256 280 305 320 350 400 427 448 488 560 610 640 700 800 854 896 976 1120 1220 1280 1400 1525 1600 1708 1792 1952 2135 2240 2440 2800 3050 3200 3416 3904 4270 4480 4880 5600 6100 6400 6832 7808 8540 8960 9760 10675 11200 12200 13664 15616 17080 19520 21350 22400 24400 27328 34160 39040 42700 44800 48800 50363 54656 68320 78080 85400 97600 100726 109312 136640 170800 195200 201452 251815 273280 341600 352541 390400 402904 503630 546560 683200 705082 805808 1007260 1259075 1366400 1410164 1611616 1762705 2014520 2518150 2732800 2820328 3072143 3223232 3525410 4029040 5036300 5640656 6144286 6446464 7050820 8058080 8813525 10072600 11281312 12288572 12892928 14101640 15360715 16116160 17627050 20145200 21505001 22562624 24577144 28203280 30721430 32232320 35254100 40290400 43010002 45125248 49154288 56406560 61442860 64464640 70508200 76803575 80580800 86020004 90250496 98308576 107525005 112813120 122885720 141016400 153607150 161161600 172040008 196617152 215050010 225626240 245771440 282032800 307214300 322323200 344080016 393234304 430100020 451252480 491542880 537625025 564065600 614428600 688160032 786468608 860200040 983085760 1075250050 1128131200 1228857200 1376320064 1720400080 1966171520 2150500100 2256262400 2457714400 2752640128 3440800160 3932343040 4301000200 4915428800 5505280256 6881600320 8602000400 9830857600 13763200640 17204000800 19661715200 27526401280 34408001600 68816003200 137632006400
• Sum of all divisors σ(n): 395716797504
• Sum of proper divisors (its aliquot sum) s(n): 258084791104
• 137632006400 is an abundant number, because the sum of its proper divisors (258084791104) is greater than itself. Its abundance is 120452784704

Bases of 137632006400

• Binary: 10000000001011100000011100000100000000₂
• Hexadecimal: 0x200B81C100
• Base-36: 1R86JJSW

Squares and roots of 137632006400

• 137632006400 squared (137632006400²) is 18942569185689640960000
• 137632006400 cubed (137632006400³) is 2607103803397279453020422144000000
• The square root of 137632006400 is 370987.8790472811
• The cube root of 137632006400 is 5163.0517772497

Scales and comparisons

• 137,632,006,400 seconds is equal to 4,376 years, 14 weeks, 1 day, 53 minutes, 20 seconds.
• To count from 1 to 137,632,006,400 would take you about eight thousand, seven hundred fifty-two 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 137632006400 cubic inches would be around 430.3 feet tall.

Recreational maths with 137632006400

• 137632006400 backwards is 004600236731
• 137632006400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137632006400's digits is 32
• More coming soon!