138348214895808

Names of 138348214895808

• Cardinal: 138348214895808 can be written as One hundred thirty-eight trillion, three hundred forty-eight billion, two hundred fourteen million, eight hundred ninety-five thousand, eight hundred eight.

Scientific notation

• Scientific notation: 1.38348214895808 × 10¹⁴

Factors of 138348214895808

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 431

Divisors of 138348214895808

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 89 96 108 144 178 192 216 267 288 337 356 432 534 576 674 712 801 864 1011 1068 1348 1424 1602 1728 2022 2136 2403 2696 2848 3033 3204 4044 4272 4806 5392 5696 6066 6408 7921 8088 8544 9099 9612 10784 12132 12816 15842 16176 17088 18198 19224 21568 23763 24264 25632 29993 31684 32352 36396 38448 47526 48528 51264 59986 63368 64704 71289 72792 76896 89979 95052 97056 113569 119972 126736 142578 145584 153792 179958 190104 194112 213867 227138 239944 253472 269937 285156 291168 340707 359916 380208 427734 454276 479888 506944 539874 570312 582336 681414 704969 719832 760416 809811 855468 908552 959776 1022121 1079748 1140624 1362828 1409938 1439664 1520832 1619622 1710936 1817104 1919552 2044242 2114907 2159496 2281248 2669377 2725656 2819876 2879328 3066363 3239244 3421872 3634208 4088484 4229814 4318992 4562496 5338754 5451312 5639752 5758656 6132726 6344721 6478488 6843744 7268416 8008131 8176968 8459628 8637984 10107641 10677508 10902624 11279504 12265452 12689442 12956976 13687488 16016262 16353936 16919256 17275968 19034163 20215282 21355016 21805248 22559008 24024393 24530904 25378884 25913952 30322923 32032524 32707872 33838512 38068326 40430564 42710032 45118016 48048786 49061808 50757768 51827904 60645846 64065048 65415744 67677024 72073179 76136652 80861128 85420064 90968769 96097572 98123616 101515536 121291692 128130096 135354048 144146358 152273304 161722256 170840128 181937538 192195144 196247232 203031072 237574553 242583384 256260192 272906307 288292716 304546608 323444512 363875076 384390288 406062144 475149106 485166768 512520384 545812614 576585432 609093216 646889024 712723659 727750152 768780576 899580049 950298212 970333536 1091625228 1153170864 1218186432 1425447318 1455500304 1537561152 1799160098 1900596424 1940667072 2138170977 2183250456 2306341728 2698740147 2850894636 2911000608 3598320196 3801192848 4276341954 4366500912 4612683456 5397480294 5701789272 5822001216 6414512931 7196640392 7602385696 8096220441 8552683908 8733001824 10794960588 11403578544 12829025862 14393280784 15204771392 16192440882 17105367816 17466003648 21589921176 22807157088 24288661323 25658051724 28786561568 32384881764 34210735632 43179842352 45614314176 48577322646 51316103448 57573123136 64769763528 68421471264 80062624361 86359684704 97154645292 102632206896 129539527056 136842942528 160125248722 172719369408 194309290584 205264413792 240187873083 259079054112 320250497444 388618581168 410528827584 480375746166 518158108224 640500994888 720563619249 777237162336 960751492332 1281001989776 1441127238498 1554474324672 1921502984664 2161690857747 2562003979552 2882254476996 3843005969328 4323381715494 5124007959104 5764508953992 7686011938656 8646763430988 11529017907984 15372023877312 17293526861976 23058035815968 34587053723952 46116071631936 69174107447904 138348214895808
• Sum of all divisors σ(n): 412564137328800
• Sum of proper divisors (its aliquot sum) s(n): 274215922432992
• 138348214895808 is an abundant number, because the sum of its proper divisors (274215922432992) is greater than itself. Its abundance is 135867707537184

Bases of 138348214895808

• Binary: 11111011101001110110100001101000100010011000000₂
• Hexadecimal: 0x7DD3B43444C0
• Base-36: 1D1GAJ3QO0

Squares and roots of 138348214895808

• 138348214895808 squared (138348214895808²) is 19140228564856670576295972864
• 138348214895808 cubed (138348214895808³) is 2648016454645673410444022936737407755354112
• The square root of 138348214895808 is 11762151.7970058523
• The cube root of 138348214895808 is 51719.9210513381

Scales and comparisons

• 138,348,214,895,808 seconds is equal to 4,399,045 years, 15 weeks, 2 days, 5 hours, 16 minutes, 48 seconds.
• To count from 1 to 138,348,214,895,808 would take you about ten million, nine hundred ninety-seven thousand, six hundred thirteen 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 138348214895808 cubic inches would be around 4310 feet tall.

Recreational maths with 138348214895808

• 138348214895808 backwards is 808598412843831
• 138348214895808 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138348214895808's digits is 72
• More coming soon!