138917681222144

Names of 138917681222144

• Cardinal: 138917681222144 can be written as One hundred thirty-eight trillion, nine hundred seventeen billion, six hundred eighty-one million, two hundred twenty-two thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.38917681222144 × 10¹⁴

Factors of 138917681222144

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 283922

Divisors of 138917681222144

• Number of divisors d(n): 160
• Complete list of divisors:
  1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 256 352 376 512 517 704 752 1034 1408 1504 1861 2068 2816 3008 3722 4136 5632 6016 7444 8272 12032 14888 16544 20471 24064 29776 33088 40942 59552 66176 81884 87467 119104 132352 163768 174934 238208 264704 282001 327536 349868 476416 564002 655072 699736 952832 962137 1128004 1310144 1399472 1924274 2256008 2620288 2798944 3102011 3848548 4512016 5240576 5597888 6204022 7697096 9024032 10481152 11195776 12408044 13254047 15394192 18048064 22391552 24816088 26508094 30788384 36096128 44783104 49632176 53016188 61576768 72192256 99264352 106032376 123153536 144384512 145794517 198528704 212064752 246307072 291589034 397057408 424129504 492614144 524803861 583178068 794114816 848259008 1049607722 1166356136 1588229632 1696518016 2099215444 2332712272 3393036032 4198430888 4665424544 5772842471 6786072064 8396861776 9330849088 11545684942 16793723552 18661698176 23091369884 24665781467 33587447104 37323396352 46182739768 49331562934 67174894208 74646792704 92365479536 98663125868 134349788416 184730959072 197326251736 268699576832 271323596137 369461918144 394652503472 542647192274 738923836288 789305006944 1085294384548 1477847672576 1578610013888 2170588769096 2955695345152 3157220027776 4341177538192 6314440055552 8682355076384 12628880111104 17364710152768 34729420305536 69458840611072 138917681222144
• Sum of all divisors σ(n): 309406891191552
• Sum of proper divisors (its aliquot sum) s(n): 170489209969408
• 138917681222144 is an abundant number, because the sum of its proper divisors (170489209969408) is greater than itself. Its abundance is 31571528747264

Bases of 138917681222144

• Binary: 11111100101100001001011000010101101001000000000₂
• Hexadecimal: 0x7E584B0AD200
• Base-36: 1D8PWGNG8W

Squares and roots of 138917681222144

• 138917681222144 squared (138917681222144²) is 19298122156137219705475956736
• 138917681222144 cubed (138917681222144³) is 2680850381872264527525169445274700149161984
• The square root of 138917681222144 is 11786334.5117192393
• The cube root of 138917681222144 is 51790.7867642597

Scales and comparisons

• 138,917,681,222,144 seconds is equal to 4,417,152 years, 29 weeks, 1 day, 15 hours, 55 minutes, 44 seconds.
• To count from 1 to 138,917,681,222,144 would take you about eleven million, forty-two thousand, eight hundred eighty-one 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 138917681222144 cubic inches would be around 4315.9 feet tall.

Recreational maths with 138917681222144

• 138917681222144 backwards is 441222186719831
• The number of decimal digits it has is: 15
• The sum of 138917681222144's digits is 59
• More coming soon!