40148560438744240

Names of 40148560438744240

• Cardinal: 40148560438744240 can be written as Forty quadrillion, one hundred forty-eight trillion, five hundred sixty billion, four hundred thirty-eight million, seven hundred forty-four thousand, two hundred forty.

Scientific notation

• Scientific notation: 4.014856043874424 × 10¹⁶

Factors of 40148560438744240

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 944782

Divisors of 40148560438744240

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 839 1064 1330 1520 1678 2128 2660 3356 4195 4789 5320 5873 6712 8390 9578 10640 11746 13424 15941 16780 19156 23492 23945 29365 31882 33523 33560 38312 46984 47890 58730 63764 67046 67120 76624 79705 90991 93968 95780 111587 117460 127528 134092 159410 167615 181982 191560 223174 234920 255056 268184 318820 335230 363964 383120 446348 454955 469840 536368 557935 636937 637640 670460 727928 892696 909910 939121 1115870 1273874 1275280 1340920 1455856 1785392 1819820 1878242 2231740 2547748 2681840 3184685 3639640 3756484 4017971 4463480 4695605 5095496 6369370 6573847 7279280 7512968 8035942 8926960 9391210 10190992 12738740 13147694 15025936 16071884 17843299 18782420 20089855 25477480 26295388 28125797 32143768 32869235 35686598 37564840 40179710 50954960 52590776 56251594 64287536 65738470 71373196 75129680 76341449 80359420 89216495 105181552 112503188 124903093 131476940 140628985 142746392 152682898 160718840 178432990 225006376 249806186 262953880 281257970 285492784 305365796 321437680 356865980 381707245 450012752 499612372 525907760 534390143 562515940 610731592 624515465 713731960 763414490 787922519 999224744 1068780286 1125031880 1221463184 1249030930 1427463920 1526828980 1575845038 1998449488 2137560572 2250063760 2498061860 2671950715 3053657960 3151690076 3939612595 4275121144 4497450469 4996123720 5343901430 5515457633 6107315920 6303380152 7879225190 8550242288 8994900938 9992247440 10687802860 11030915266 12606760304 14970527861 15758450380 17989801876 21375605720 22061830532 22487252345 27577288165 29941055722 31482153283 31516900760 35979603752 42751211440 44123661064 44974504690 55154576330 59882111444 62964306566 63033801520 71959207504 74852639305 85451558911 88247322128 89949009380 104793695027 110309152660 119764222888 125928613132 149705278610 157410766415 170903117822 179898018760 209587390054 220618305320 239528445776 251857226264 299410557220 314821532830 341806235644 359796037520 419174780108 427257794555 441236610640 503714452528 523968475135 598160912377 598821114440 629643065660 683612471288 838349560216 854515589110 1047936950270 1196321824754 1197642228880 1259286131320 1367224942576 1676699120432 1709031178220 2095873900540 2392643649508 2518572262640 2990804561885 3418062356440 3773360943491 4191747801080 4785287299016 5981609123770 6836124712880 7546721886982 8383495602160 9570574598032 11963218247540 15093443773964 18866804717455 23926436495080 26413526604437 30186887547928 37733609434910 47852872990160 52827053208874 60373775095856 71693857926329 75467218869820 105654106417748 132067633022185 143387715852658 150934437739640 211308212835496 264135266044370 286775431705316 301868875479280 358469289631645 422616425670992 501857005484303 528270532088740 573550863410632 716938579263290 1003714010968606 1056541064177480 1147101726821264 1433877158526580 2007428021937212 2113082128354960 2509285027421515 2867754317053160 4014856043874424 5018570054843030 5735508634106320 8029712087748848 10037140109686060 20074280219372120 40148560438744240
• Sum of all divisors σ(n): 112452662068992000
• Sum of proper divisors (its aliquot sum) s(n): 72304101630247760
• 40148560438744240 is an abundant number, because the sum of its proper divisors (72304101630247760) is greater than itself. Its abundance is 32155541191503520

Bases of 40148560438744240

• Binary: 10001110101000101110011100101011001100011101010010110000₂
• Hexadecimal: 0x8EA2E72B31D4B0
• Base-36: AZBH61K471S

Squares and roots of 40148560438744240

• 40148560438744240 squared (40148560438744240²) is 1611906905303499081085308133177600
• 40148560438744240 cubed (40148560438744240³) is 64715741809206721185034032374840756312824897024000
• The square root of 40148560438744240 is 200371056.8888237411
• The cube root of 40148560438744240 is 342418.0575490185

Scales and comparisons

• 40,148,560,438,744,240 seconds is equal to 1,276,600,034 years, 15 weeks, 4 days, 11 hours, 10 minutes, 40 seconds.
• To count from 1 to 40,148,560,438,744,240 would take you about three billion, eight hundred twenty-nine million, eight hundred thousand, one hundred 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 40148560438744240 cubic inches would be around 28534.8 feet tall.

Recreational maths with 40148560438744240

• 40148560438744240 backwards is 04244783406584104
• The number of decimal digits it has is: 17
• The sum of 40148560438744240's digits is 64
• More coming soon!