137678487960906744

Names of 137678487960906744

• Cardinal: 137678487960906744 can be written as One hundred thirty-seven quadrillion, six hundred seventy-eight trillion, four hundred eighty-seven billion, nine hundred sixty million, nine hundred six thousand, seven hundred forty-four.

Scientific notation

• Scientific notation: 1.37678487960906744 × 10¹⁷

Factors of 137678487960906744

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 866

Divisors of 137678487960906744

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 361 372 456 589 722 744 811 961 1083 1178 1444 1622 1767 1922 2166 2356 2433 2883 2888 3244 3534 3844 4332 4712 4866 5766 6488 7068 7688 8664 9732 11191 11532 14136 15409 18259 19464 22382 23064 25141 29791 30818 33573 36518 44764 46227 50282 54777 59582 61636 67146 73036 75423 89373 89528 92454 100564 109554 119164 123272 134292 146072 150846 178746 184908 201128 219108 238328 268584 292771 301692 346921 357492 369816 438216 477679 566029 585542 603384 657721 693842 714984 779371 878313 955358 1040763 1132058 1171084 1315442 1387684 1433037 1558742 1698087 1756626 1910716 1973163 2081526 2264116 2338113 2342168 2630884 2775368 2866074 3117484 3396174 3513252 3821432 3946326 4163052 4528232 4676226 5261768 5732148 6234968 6792348 7026504 7892652 8326104 9075901 9352452 10754551 11464296 12496699 13584696 14808049 15785304 18151802 18704904 20389351 21509102 24160501 24993398 27227703 29616098 32263653 36303604 37490097 40778702 43018204 44424147 48321002 49986796 54455406 59232196 61168053 64527306 72481503 72607208 74980194 81557404 86036408 88848294 96642004 99973592 108910812 118464392 122336106 129054612 144963006 149960388 163114808 177696588 193284008 217821624 237437281 244672212 258109224 281352931 289926012 299920776 355393176 387397669 459049519 474874562 489344424 533411731 562705862 579852024 632069881 712311843 774795338 844058793 918099038 949749124 1066823462 1125411724 1162193007 1264139762 1377148557 1424623686 1549590676 1600235193 1688117586 1836198076 1896209643 1899498248 2133646924 2250823448 2324386014 2528279524 2754297114 2849247372 3099181352 3200470386 3376235172 3672396152 3792419286 4267293848 4648772028 5056559048 5508594228 5698494744 6400940772 6752470344 7360555711 7584838572 8721940861 9297544056 10134822889 11017188456 12009327739 12801881544 14721111422 15169677144 16535763661 17443881722 19594166311 20269645778 22081667133 24018655478 26165822583 29442222844 30404468667 33071527322 34887763444 36027983217 39188332622 40539291556 44163334266 48037310956 49607290983 52331645166 58782498933 58884445688 60808937334 66143054644 69775526888 72055966434 78376665244 81078583112 88326668532 96074621912 99214581966 104663290332 117564997866 121617874668 132286109288 144111932868 156753330488 176653337064 192561634891 198429163932 209326580664 228177227041 235129995732 243235749336 288223865736 314179509559 372289159909 385123269782 396858327864 456354454082 470259991464 512608673491 577684904673 628359019118 684531681123 744578319818 770246539564 912708908164 942538528677 1025217346982 1116867479727 1155369809346 1256718038236 1369063362246 1489156639636 1537826020473 1540493079128 1825417816328 1885077057354 2050434693964 2233734959454 2310739618692 2513436076472 2738126724492 2978313279272 3075652040946 3770154114708 4100869387928 4467469918908 4621479237384 5476253448984 5969410681621 6151304081892 7073494038271 7540308229416 8934939837816 9739564796329 11938821363242 12302608163784 14146988076542 15890868878221 17908232044863 19479129592658 21220482114813 23877642726484 28293976153084 29218694388987 31781737756442 35816464089726 38958259185316 42440964229626 47672606634663 47755285452968 56587952306168 58437388777974 63563475512884 71632928179452 77916518370632 84881928459252 95345213269326 116874777555948 127126951025768 143265856358904 169763856918504 185051731130251 190690426538652 233749555111896 301926508686199 370103462260502 381380853077304 555155193390753 603853017372398 740206924521004 905779526058597 1110310386781506 1207706034744796 1480413849042008 1811559052117194 2220620773563012 2415412069489592 3623118104234388 4441241547126024 5736603665037781 7246236208468776 11473207330075562 17209810995113343 22946414660151124 34419621990226686 45892829320302248 68839243980453372 137678487960906744
• Sum of all divisors σ(n): 375837122499471360
• Sum of proper divisors (its aliquot sum) s(n): 238158634538564616
• 137678487960906744 is an abundant number, because the sum of its proper divisors (238158634538564616) is greater than itself. Its abundance is 100480146577657872

Bases of 137678487960906744

• Binary: 111101001001000011101101011111000000111110110101111111000₂
• Hexadecimal: 0x1E921DAF81F6BF8
• Base-36: 11NMY87MPFCO

Squares and roots of 137678487960906744

• 137678487960906744 squared (137678487960906744²) is 18955366047201543247374426664681536
• 137678487960906744 cubed (137678487960906744³) is 2609746136124218128108163019295557088541946554678784
• The square root of 137678487960906744 is 371050519.4187265167
• The cube root of 137678487960906744 is 516363.2939777585

Scales and comparisons

• 137,678,487,960,906,744 seconds is equal to 4,377,750,049 years, 32 weeks, 6 days, 1 hour, 12 minutes, 24 seconds.
• To count from 1 to 137,678,487,960,906,744 would take you about thirteen billion, one hundred thirty-three million, two hundred fifty thousand, one hundred forty-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 137678487960906744 cubic inches would be around 43030.3 feet tall.

Recreational maths with 137678487960906744

• 137678487960906744 backwards is 447609069784876731
• The number of decimal digits it has is: 18
• The sum of 137678487960906744's digits is 96
• More coming soon!