137207124059040

Names of 137207124059040

• Cardinal: 137207124059040 can be written as One hundred thirty-seven trillion, two hundred seven billion, one hundred twenty-four million, fifty-nine thousand and forty.

Scientific notation

• Scientific notation: 1.3720712405904 × 10¹⁴

Factors of 137207124059040

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 14716

Divisors of 137207124059040

• Number of divisors d(n): 540
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 70 72 80 81 84 90 96 98 105 108 112 120 126 135 140 144 147 160 162 168 180 189 196 210 216 224 240 245 252 270 280 288 294 315 324 336 360 378 392 405 420 432 441 480 490 504 540 560 567 588 630 648 672 720 735 756 784 810 840 864 882 945 980 1008 1080 1120 1134 1176 1260 1296 1323 1440 1470 1512 1568 1620 1680 1764 1890 1960 2016 2160 2205 2268 2352 2520 2592 2646 2835 2940 3024 3240 3360 3528 3780 3920 3969 4320 4410 4536 4704 5040 5292 5670 5880 6048 6480 6615 7056 7560 7840 7938 8820 9072 10080 10584 11340 11760 12960 13230 14112 14699 15120 15876 17640 18144 19845 21168 22680 23520 26460 29398 30240 31752 35280 39690 42336 44097 45360 52920 58796 63504 70560 73495 79380 88194 90720 102893 105840 117592 127008 132291 146990 158760 176388 205786 211680 220485 235184 264582 293980 308679 317520 352776 396873 411572 440970 470368 514465 529164 587960 617358 635040 661455 705552 720251 793746 823144 881940 926037 1028930 1058328 1175920 1190619 1234716 1322910 1411104 1440502 1543395 1587492 1646288 1763880 1852074 1984365 2057860 2116656 2160753 2351840 2381238 2469432 2645820 2778111 2881004 3086790 3174984 3292576 3527760 3601255 3704148 3968730 4115720 4233312 4321506 4630185 4762476 4938864 5291640 5556222 5762008 5953095 6173580 6349968 6482259 7055520 7202510 7408296 7937460 8231440 8334333 8643012 9260370 9524952 9877728 10583280 10803765 11112444 11524016 11906190 12347160 12699936 12964518 13890555 14405020 14816592 15874920 16462880 16668666 17286024 18520740 19049904 19446777 21166560 21607530 22224888 23048032 23812380 24694320 25929036 27781110 28810040 29633184 31749840 32411295 33337332 34572048 37041480 38099808 38893554 41671665 43215060 44449776 47624760 49388640 51858072 55562220 57620080 58340331 63499680 64822590 66674664 69144096 74082960 77787108 83343330 86430120 88899552 95249520 97233885 103716144 111124440 115240160 116680662 129645180 133349328 148165920 155574216 166686660 172860240 190499040 194467770 207432288 216060601 222248880 233361324 259290360 266698656 291701655 311148432 333373320 345720480 388935540 432121202 444497760 466722648 518580720 583403310 622296864 648181803 666746640 777871080 864242404 933445296 1037161440 1080303005 1166806620 1296363606 1333493280 1512424207 1555742160 1728484808 1866890592 1944545409 2160606010 2333613240 2592727212 3024848414 3111484320 3240909015 3456969616 3889090818 4321212020 4537272621 4667226480 5185454424 5833636227 6049696828 6481818030 6913939232 7562121035 7778181636 8642424040 9074545242 9334452960 9722727045 10370908848 10586969449 11667272454 12099393656 12963636060 13611817863 15124242070 15556363272 17284848080 17500908681 18149090484 19445454090 20741817696 21173938898 22686363105 23334544908 24198787312 25927272120 27223635726 29168181135 30248484140 31112726544 31760908347 34569696160 35001817362 36298180968 38890908180 40835453589 42347877796 45372726210 46669089816 48397574624 51854544240 52934847245 54447271452 58336362270 60496968280 62225453088 63521816694 68059089315 70003634724 72596361936 77781816360 81670907178 84695755592 87504543405 90745452420 93338179632 95282725041 103709088480 105869694490 108894542904 116672724540 120993936560 122506360767 127043633388 136118178630 140007269448 145192723872 155563632720 158804541735 163341814356 169391511184 175009086810 181490904840 186676359264 190565450082 204177267945 211739388980 217789085808 233345449080 241987873120 245012721534 254087266776 272236357260 280014538896 285848175123 311127265440 317609083470 326683628712 338783022368 350018173620 362981809680 381130900164 408354535890 423478777960 435578171616 466690898160 476413625205 490025443068 508174533552 544472714520 560029077792 571696350246 612531803835 635218166940 653367257424 700036347240 725963619360 762261800328 816709071780 846957555920 857544525369 933381796320 952827250410 980050886136 1016349067104 1088945429040 1143392700492 1225063607670 1270436333880 1306734514848 1400072694480 1429240875615 1524523600656 1633418143560 1693915111840 1715089050738 1905654500820 1960101772272 2177890858080 2286785400984 2450127215340 2540872667760 2800145388960 2858481751230 3049047201312 3266836287120 3430178101476 3811309001640 3920203544544 4287722626845 4573570801968 4900254430680 5081745335520 5716963502460 6533672574240 6860356202952 7622618003280 8575445253690 9147141603936 9800508861360 11433927004920 13720712405904 15245236006560 17150890507380 19601017722720 22867854009840 27441424811808 34301781014760 45735708019680 68603562029520 137207124059040
• Sum of all divisors σ(n): 563322570676866
• Sum of proper divisors (its aliquot sum) s(n): 426115446617826
• 137207124059040 is an abundant number, because the sum of its proper divisors (426115446617826) is greater than itself. Its abundance is 288908322558786

Bases of 137207124059040

• Binary: 11111001100101000000101111000111110001110100000₂
• Hexadecimal: 0x7CCA05E3E3A0
• Base-36: 1CMW2Z2Y00

Squares and roots of 137207124059040

• 137207124059040 squared (137207124059040²) is 18825794892552793205405721600
• 137207124059040 cubed (137207124059040³) is 2583033175332532704336777224727832203264000
• The square root of 137207124059040 is 11713544.4703573819
• The cube root of 137207124059040 is 51577.3336613619

Scales and comparisons

• 137,207,124,059,040 seconds is equal to 4,362,762 years, 7 weeks, 8 hours, 24 minutes.
• To count from 1 to 137,207,124,059,040 would take you about ten million, nine hundred six thousand, nine hundred five 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 137207124059040 cubic inches would be around 4298.1 feet tall.

Recreational maths with 137207124059040

• 137207124059040 backwards is 040950421702731
• 137207124059040 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137207124059040's digits is 45
• More coming soon!