137217072300401136128

Names of 137217072300401136128

• Cardinal: 137217072300401136128 can be written as One hundred thirty-seven quintillion, two hundred seventeen quadrillion, seventy-two trillion, three hundred billion, four hundred one million, one hundred thirty-six thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.37217072300401136128 × 10²⁰

Factors of 137217072300401136128

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 123715

Divisors of 137217072300401136128

• Number of divisors d(n): 270
• Complete list of divisors:
  1 2 4 8 16 32 59 64 71 118 128 142 236 256 284 472 512 568 944 1136 1888 2272 3481 3776 4189 4544 5041 6962 7552 8378 9088 10082 13924 15104 16756 18176 20164 27848 30208 33512 36352 40328 55696 67024 80656 111392 123583 134048 161312 222784 247151 247166 268096 297419 322624 445568 494302 494332 536192 594838 645248 891136 988604 988664 1072384 1189676 1290496 1782272 1977208 1977328 2144768 2379352 2580992 3954416 3954656 4758704 7291397 7908832 7909312 8774393 9517408 14582794 15817664 15818624 17547721 17548786 19034816 29165588 31635328 31637248 35095442 35097572 38069632 58331176 63270656 63274496 70190884 70195144 76139264 116662352 126541312 140381768 140390288 152278528 233324704 280763536 280780576 430192423 466649408 517689187 561527072 561561152 622981903 860384846 933298816 1035378374 1123054144 1123122304 1245963806 1720769692 1866597632 2070756748 2246108288 2246244608 2491927612 3441539384 3733195264 4141513496 4492216576 4492489216 4983855224 6883078768 8283026992 8984433152 9967710448 13766157536 15272757889 16566053984 19935420896 27532315072 30543662033 30545515778 33132107968 36755932277 39870841792 55064630144 61087324066 61091031556 66264215936 73511864554 79741683584 110129260288 122174648132 122182063112 132528431872 147023729108 159483367168 220258520576 244349296264 244364126224 265056863744 294047458216 318966734336 488698592528 488728252448 588094916432 901092715451 977397185056 977456504896 1084365810119 1176189832864 1802185430902 1954794370112 1954913009792 2168600004343 2168731620238 2352379665728 3604370861804 3909588740224 3909826019584 4337200008686 4337463240476 4704759331456 7208741723608 7819177480448 7819652039168 8674400017372 8674926480952 9409518662912 14417483447216 15638354960896 17348800034744 17349852961904 18819037325824 28834966894432 34697600069488 34699705923808 53164470211609 57669933788864 63977582797021 69395200138976 69399411847616 76989972518449 106328940423218 115339867577728 127955165594042 138790400277952 138798823695232 153979945036898 212657880846436 230679735155456 255910331188084 277580800555904 277597647390464 307959890073796 425315761692872 461359470310912 511820662376168 555161601111808 555195294780928 615919780147592 850631523385744 1023641324752336 1110323202223616 1231839560295184 1701263046771488 2047282649504672 2463679120590368 3402526093542976 3774677385024239 4094565299009344 4542408378588491 4927358241180736 6805052187085952 7549354770048478 8189130598018688 9084816757176982 9854716482361472 13610104374171904 15098709540096956 16378261196037376 18169633514353964 19709432964722944 27220208748343808 30197419080193912 32756522392074752 36339267028707928 39418865929445888 60394838160387824 72678534057415856 120789676320775648 145357068114831712 241579352641551296 268002094336720969 290714136229663424 483158705283102592 536004188673441938 581428272459326848 966317410566205184 1072008377346883876 1162856544918653696 1932634821132410368 2144016754693767752 2325713089837307392 4288033509387535504 8576067018775071008 17152134037550142016 34304268075100284032 68608536150200568064 137217072300401136128
• Sum of all divisors σ(n): 282877454020224629907
• Sum of proper divisors (its aliquot sum) s(n): 145660381719823493779
• 137217072300401136128 is an abundant number, because the sum of its proper divisors (145660381719823493779) is greater than itself. Its abundance is 8443309419422357651

Bases of 137217072300401136128

• Binary: 1110111000001000100111110000100000000000000100000001001001000000000₂
• Hexadecimal: 0x77044F84000809200
• Base-36: SYIE8KVTSKAGW

Squares and roots of 137217072300401136128

• 137217072300401136128 squared (137217072300401136128²) is 18828524930693512740155997018993186832384
• 137217072300401136128 cubed (137217072300401136128³) is 2583595066724877028393606420289077437546821778787523102769152
• The square root of 137217072300401136128 is 11713969109.5888218637
• The cube root of 137217072300401136128 is 5157858.0174294147

Scales and comparisons

• 137,217,072,300,401,136,128 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,217,072,300,401,136,128 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137217072300401136128 cubic inches would be around 429821.5 feet tall.

Recreational maths with 137217072300401136128

• 137217072300401136128 backwards is 821631104003270712731
• 137217072300401136128 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 137217072300401136128's digits is 59
• More coming soon!