137532053729975040

Names of 137532053729975040

• Cardinal: 137532053729975040 can be written as One hundred thirty-seven quadrillion, five hundred thirty-two trillion, fifty-three billion, seven hundred twenty-nine million, nine hundred seventy-five thousand and forty.

Scientific notation

• Scientific notation: 1.3753205372997504 × 10¹⁷

Factors of 137532053729975040

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 7102050218

Divisors of 137532053729975040

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 64 72 80 82 90 96 120 123 128 144 160 164 180 192 205 240 246 256 288 320 328 360 369 384 410 480 492 576 615 640 656 720 738 768 820 960 984 1152 1230 1280 1312 1440 1476 1640 1681 1845 1920 1968 2304 2460 2624 2880 2952 3280 3362 3690 3840 3936 4920 5043 5248 5760 5904 6560 6724 7380 7872 8405 9840 10086 10496 11520 11808 13120 13448 14760 15129 15744 16810 19680 20172 23616 25215 26240 26896 29520 30258 31488 33620 39360 40344 47232 50430 52480 53792 59040 60516 67240 75645 78720 80688 94464 100860 107584 118080 121032 134480 151290 157440 161376 201720 215168 236160 242064 268960 302580 322752 403440 430336 472320 484128 537920 605160 645504 806880 968256 1075840 1210320 1291008 1613760 1936512 2151680 2420640 3227520 3873024 4841280 6455040 9682560 19365120 7102050167 14204100334 21306150501 28408200668 35510250835 42612301002 56816401336 63918451503 71020501670 85224602004 106530752505 113632802672 127836903006 142041003340 170449204008 213061505010 227265605344 255673806012 284082006680 291184056847 319592257515 340898408016 426123010020 454531210688 511347612024 568164013360 582368113694 639184515030 681796816032 852246020040 873552170541 909062421376 1022695224048 1136328026720 1164736227388 1278369030060 1363593632064 1455920284235 1704492040080 1747104341082 1818124842752 2045390448096 2272656053440 2329472454776 2556738060120 2620656511623 2727187264128 2911840568470 3408984080160 3494208682164 4090780896192 4367760852705 4545312106880 4658944909552 5113476120240 5241313023246 5454374528256 5823681136940 6817968160320 6988417364328 8181561792384 8735521705410 9090624213760 9317889819104 10226952240480 10482626046492 11647362273880 11938546330727 13103282558115 13635936320640 13976834728656 16363123584768 17471043410820 18635779638208 20453904480960 20965252092984 23294724547760 23877092661454 26206565116230 27271872641280 27953669457312 34942086821640 35815638992181 37271559276416 40907808961920 41930504185968 46589449095520 47754185322908 52413130232460 55907338914624 59692731653635 69884173643280 71631277984362 74543118552832 81815617923840 83861008371936 93178898191040 95508370645816 104826260464920 107446916976543 111814677829248 119385463307270 139768347286560 143262555968724 167722016743872 179078194960905 186357796382080 191016741291632 209652520929840 214893833953086 223629355658496 238770926614540 279536694573120 286525111937448 335444033487744 358156389921810 372715592764160 382033482583264 419305041859680 429787667906172 477541853229080 537234584882715 559073389146240 573050223874896 670888066975488 716312779843620 764066965166528 838610083719360 859575335812344 955083706458160 1074469169765430 1118146778292480 1146100447749792 1432625559687240 1528133930333056 1677220167438720 1719150671624688 1910167412916320 2148938339530860 2292200895499584 2865251119374480 3056267860666112 3354440334877440 3438301343249376 3820334825832640 4297876679061720 4584401790999168 5730502238748960 6876602686498752 7640669651665280 8595753358123440 9168803581998336 11461004477497920 13753205372997504 15281339303330560 17191506716246880 22922008954995840 27506410745995008 34383013432493760 45844017909991680 68766026864987520 137532053729975040
• Sum of all divisors σ(n): 487735667372156112
• Sum of proper divisors (its aliquot sum) s(n): 350203613642181072
• 137532053729975040 is an abundant number, because the sum of its proper divisors (350203613642181072) is greater than itself. Its abundance is 212671559912206032

Bases of 137532053729975040

• Binary: 111101000100111001010110010010111110011100001101100000000₂
• Hexadecimal: 0x1E89CAC97CE1B00
• Base-36: 11M71L96FGG0

Squares and roots of 137532053729975040

• 137532053729975040 squared (137532053729975040²) is 18915065803184741312777799023001600
• 137532053729975040 cubed (137532053729975040³) is 2601427846349617327302659499639430623212353880064000
• The square root of 137532053729975040 is 370853143.0768452311
• The cube root of 137532053729975040 is 516180.1617975685

Scales and comparisons

• 137,532,053,729,975,040 seconds is equal to 4,373,093,894 years, 2 weeks, 6 hours, 24 minutes.
• To count from 1 to 137,532,053,729,975,040 would take you about thirteen billion, one hundred nineteen million, two hundred eighty-one thousand, six hundred eighty-two 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 137532053729975040 cubic inches would be around 43015 feet tall.

Recreational maths with 137532053729975040

• 137532053729975040 backwards is 040579927350235731
• 137532053729975040 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137532053729975040's digits is 72
• More coming soon!