138960668829920

Names of 138960668829920

• Cardinal: 138960668829920 can be written as One hundred thirty-eight trillion, nine hundred sixty billion, six hundred sixty-eight million, eight hundred twenty-nine thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.3896066882992 × 10¹⁴

Factors of 138960668829920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 560746

Divisors of 138960668829920

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 31 32 35 37 40 56 62 70 74 80 112 124 140 148 155 160 185 193 217 224 248 259 280 296 310 370 386 434 496 518 560 592 620 740 772 868 965 992 1036 1085 1120 1147 1184 1240 1295 1351 1480 1544 1736 1930 2072 2170 2294 2480 2590 2702 2960 3088 3472 3860 4144 4340 4588 4960 5180 5404 5735 5920 5983 6176 6755 6944 7141 7720 8029 8288 8680 9176 10360 10808 11470 11966 13510 14282 15440 16058 17360 18352 20720 21616 22940 23932 27020 28564 29915 30880 32116 34720 35705 36704 40145 41440 41881 43232 45880 47864 49987 54040 57128 59830 64232 71410 80290 83762 91760 95728 99974 108080 114256 119660 128464 142820 160580 167524 183520 191456 199948 209405 216160 221371 228512 239320 249935 256928 285640 321160 335048 399896 418810 442742 478640 499870 560471 571280 642320 670096 799792 837620 885484 957280 999740 1106855 1120942 1142560 1284640 1340192 1549597 1599584 1675240 1770968 1999480 2213710 2241884 2802355 3099194 3350480 3541936 3923297 3998960 4427420 4483768 5604710 6198388 6700960 7083872 7747985 7846594 7997920 8854840 8967536 11209420 12396776 15495970 15693188 17374601 17709680 17935072 19616485 20737427 22418840 24793552 30991940 31386376 34749202 35419360 39232970 41474854 44837680 49587104 61983880 62772752 69498404 78465940 82949708 86873005 89675360 103687135 108170903 121622207 123967760 125545504 138996808 145161989 156931880 165899416 173746010 207374270 216341806 243244414 247935520 277993616 290323978 313863760 331798832 347492020 414748540 432683612 486488828 540854515 555987232 580647956 608111035 627727520 642860237 663597664 694984040 725809945 757196321 829497080 865367224 972977656 1081709030 1161295912 1216222070 1285720474 1389968080 1451619890 1514392642 1658994160 1730734448 1945955312 2163418060 2322591824 2432444140 2571440948 2779936160 2903239780 3028785284 3214301185 3317988320 3353297993 3461468896 3785981605 3891910624 4002323411 4326836120 4500021659 4645183648 4864888280 5142881896 5806479560 6057570568 6428602370 6706595986 7571963210 8004646822 8653672240 9000043318 9729776560 10285763792 11612959120 12115141136 12857204740 13413191972 15143926420 16009293644 16766489965 17307344480 18000086636 19459553120 20011617055 20571527584 22500108295 23225918240 23473085951 24230282272 25714409480 26826383944 28016263877 30287852840 32018587288 33532979930 36000173272 40023234110 45000216590 46946171902 51428818960 53652767888 56032527754 60575705680 64037174576 67065959860 72000346544 80046468220 90000433180 93892343804 102857637920 107305535776 112065055508 117365429755 121151411360 124072025741 128074349152 134131919720 140081319385 144000693088 160092936440 180000866360 187784687608 224130111016 234730859510 248144051482 268263839440 280162638770 320185872880 360001732720 375569375216 448260222032 469461719020 496288102964 536527678880 560325277540 620360128705 640371745760 720003465440 751138750432 868504180187 896520444064 938923438040 992576205928 1120650555080 1240720257410 1737008360374 1877846876080 1985152411856 2241301110160 2481440514820 3474016720748 3755693752160 3970304823712 4342520900935 4482602220320 4962881029640 6948033441496 8685041801870 9925762059280 13896066882992 17370083603740 19851524118560 27792133765984 34740167207480 69480334414960 138960668829920
• Sum of all divisors σ(n): 399825982144512
• Sum of proper divisors (its aliquot sum) s(n): 260865313314592
• 138960668829920 is an abundant number, because the sum of its proper divisors (260865313314592) is greater than itself. Its abundance is 121904644484672

Bases of 138960668829920

• Binary: 11111100110001001001101010011011010100011100000₂
• Hexadecimal: 0x7E624D4DA8E0
• Base-36: 1D99NED2OW

Squares and roots of 138960668829920

• 138960668829920 squared (138960668829920²) is 19310067481658699861887206400
• 138960668829920 cubed (138960668829920³) is 2683339892402181885197542131375305535488000
• The square root of 138960668829920 is 11788157.9913877979
• The cube root of 138960668829920 is 51796.1283747277

Scales and comparisons

• 138,960,668,829,920 seconds is equal to 4,418,519 years, 22 weeks, 4 days, 10 hours, 5 minutes, 20 seconds.
• To count from 1 to 138,960,668,829,920 would take you about eleven million, forty-six thousand, two hundred ninety-eight 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 138960668829920 cubic inches would be around 4316.3 feet tall.

Recreational maths with 138960668829920

• 138960668829920 backwards is 029928866069831
• The number of decimal digits it has is: 15
• The sum of 138960668829920's digits is 77
• More coming soon!