137606975214270800

Names of 137606975214270800

• Cardinal: 137606975214270800 can be written as One hundred thirty-seven quadrillion, six hundred six trillion, nine hundred seventy-five billion, two hundred fourteen million, two hundred seventy thousand, eight hundred.

Scientific notation

• Scientific notation: 1.376069752142708 × 10¹⁷

Factors of 137606975214270800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 170

Divisors of 137606975214270800

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 59 70 80 97 100 112 118 140 175 194 200 236 280 295 350 388 400 413 472 485 560 590 679 700 776 826 944 970 1180 1358 1400 1475 1552 1652 1940 2065 2360 2425 2716 2800 2950 3304 3395 3880 4130 4720 4850 5432 5723 5900 6608 6790 7760 8260 9409 9700 10325 10864 11446 11800 13580 16520 16975 18818 19400 20650 22892 23600 27160 28615 33040 33950 37636 38800 40061 41300 45784 47045 54320 57230 65863 67900 75272 80122 82600 91568 94090 114460 131726 135800 143075 150544 160244 165200 188180 200305 228920 235225 263452 271600 286150 320488 329315 376360 400610 457840 470450 526904 555131 572300 640976 658630 752720 801220 912673 940900 1001525 1053808 1110262 1144600 1317260 1602440 1646575 1825346 1881800 2003050 2220524 2289200 2634520 2775655 3204880 3293150 3650692 3763600 3885917 4006100 4441048 4563365 5269040 5551310 6388711 6586300 7301384 7771834 8012200 8882096 9126730 11102620 12777422 13172600 13878275 14602768 15543668 16024400 18253460 19429585 22205240 22816825 25554844 26345200 27756550 31087336 31943555 36506920 38859170 44410480 45633650 51109688 53847707 55513100 62174672 63887110 73013840 77718340 88529281 91267300 97147925 102219376 107695414 111026200 127774220 155436680 159717775 177058562 182534600 194295850 215390828 222052400 255548440 269238535 310873360 319435550 354117124 365069200 376933949 388591700 430781656 442646405 511096880 538477070 619704967 638871100 708234248 753867898 777183400 861563312 885292810 1076954140 1239409934 1277742200 1346192675 1416468496 1507735796 1554366800 1770585620 1884669745 2153908280 2213232025 2478819868 2555484400 2692385350 3015471592 3098524835 3541171240 3769339490 4307816560 4426464050 4957639736 5223227579 5384770700 6030943184 6197049670 7082342480 7538678980 8587340257 8852928100 9423348725 9915279472 10446455158 10769541400 12394099340 15077357960 15492624175 17174680514 17705856200 18846697450 20892910316 21539082800 24788198680 26116137895 30154715920 30985248350 34349361028 35411712400 36562593053 37693394900 41785820632 42936701285 49576397360 52232275790 60111381799 61970496700 68698722056 73125186106 75386789800 83571641264 85873402570 104464551580 120222763598 123940993400 130580689475 137397444112 146250372212 150773579600 171746805140 182812965265 208929103160 214683506425 240445527196 247881986800 261161378950 292500744424 300556908995 343493610280 365625930530 417858206320 429367012850 480891054392 506653075163 522322757900 585001488848 601113817990 686987220560 731251861060 832972004929 858734025700 914064826325 961782108784 1013306150326 1044645515800 1202227635980 1462503722120 1502784544975 1665944009858 1717468051400 1828129652650 2026612300652 2089291031600 2404455271960 2533265375815 2925007444240 3005569089950 3331888019716 3434936102800 3546571526141 3656259305300 4053224601304 4164860024645 4808910543920 5066530751630 5830804034503 6011138179900 6663776039432 7093143052282 7312518610600 8106449202608 8329720049290 10133061503260 11661608069006 12022276359800 12666326879075 13327552078864 14186286104564 14625037221200 16659440098580 17732857630705 20266123006520 20824300123225 23323216138012 24044552719600 25332653758150 28372572209128 29154020172515 33318880197160 35465715261410 40532246013040 41648600246450 46646432276024 49145348290811 50665307516300 56745144418256 58308040345030 66637760394320 70931430522820 83297200492900 88664288153525 93292864552048 98290696581622 101330615032600 116616080690060 141862861045640 145770100862575 166594400985800 177328576307050 196581393163244 202661230065200 233232161380120 245726741454055 283725722091280 291540201725150 333188801971600 344017438035677 354657152614100 393162786326488 466464322760240 491453482908110 583080403450300 688034876071354 709314305228200 786325572652976 982906965816220 1166160806900600 1228633707270275 1376069752142708 1418628610456400 1720087190178385 1965813931632440 2332321613801200 2457267414540550 2752139504285416 3440174380356770 3931627863264880 4914534829081100 5504279008570832 6880348760713540 8600435950891925 9829069658162200 13760697521427080 17200871901783850 19658139316324400 27521395042854160 34401743803567700 68803487607135400 137606975214270800
• Sum of all divisors σ(n): 388235756917328160
• Sum of proper divisors (its aliquot sum) s(n): 250628781703057360
• 137606975214270800 is an abundant number, because the sum of its proper divisors (250628781703057360) is greater than itself. Its abundance is 113021806488786560

Bases of 137606975214270800

• Binary: 111101000111000001101000010011100010000110011100101010000₂
• Hexadecimal: 0x1E8E0D09C433950
• Base-36: 11MXLNPJRHOW

Squares and roots of 137606975214270800

• 137606975214270800 squared (137606975214270800²) is 18935679627620938283571975732640000
• 137606975214270800 cubed (137606975214270800³) is 2605681597183406986218072318113593261813358912000000
• The square root of 137606975214270800 is 370954141.6594115883
• The cube root of 137606975214270800 is 516273.8756204151
• Being both a perfect square and a perfect cube, 137606975214270800 is also a perfect sixth number.

Scales and comparisons

• 137,606,975,214,270,800 seconds is equal to 4,375,476,165 years, 25 weeks, 4 days, 5 hours, 53 minutes, 20 seconds.
• To count from 1 to 137,606,975,214,270,800 would take you about thirteen billion, one hundred twenty-six million, four hundred twenty-eight thousand, four hundred ninety-six 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 137606975214270800 cubic inches would be around 43022.8 feet tall.

Recreational maths with 137606975214270800

• 137606975214270800 backwards is 008072412579606731
• The number of decimal digits it has is: 18
• The sum of 137606975214270800's digits is 68
• More coming soon!