42157524408320

Names of 42157524408320

• Cardinal: 42157524408320 can be written as Forty-two trillion, one hundred fifty-seven billion, five hundred twenty-four million, four hundred eight thousand, three hundred twenty.

Scientific notation

• Scientific notation: 4.215752440832 × 10¹³

Factors of 42157524408320

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 834

Divisors of 42157524408320

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 5 8 10 16 17 20 23 32 34 40 46 64 68 80 85 92 115 128 136 160 170 184 230 256 272 289 320 340 368 391 460 512 544 578 640 680 736 782 787 920 1024 1088 1156 1280 1360 1445 1472 1564 1574 1840 1955 2048 2176 2312 2560 2720 2890 2944 3128 3148 3680 3910 3935 4352 4624 5120 5440 5780 5888 6256 6296 6647 7360 7820 7870 8704 9248 10240 10880 11560 11776 12512 12592 13294 13379 14720 15640 15740 17408 18101 18496 21760 23120 23552 25024 25184 26588 26758 29440 31280 31480 33235 34816 36202 36992 43520 46240 47104 50048 50368 53176 53516 58880 62560 62960 66470 66895 72404 73984 87040 90505 92480 100096 100736 106352 107032 117760 125120 125920 132940 133790 144808 147968 174080 181010 184960 200192 201472 212704 214064 227443 235520 250240 251840 265880 267580 289616 295936 307717 362020 369920 400384 402944 425408 428128 454886 500480 503680 531760 535160 579232 591872 615434 619369 724040 739840 800768 805888 850816 856256 909772 1000960 1007360 1063520 1070320 1137215 1158464 1230868 1238738 1448080 1479680 1538585 1611776 1701632 1712512 1819544 2001920 2014720 2127040 2140640 2274430 2316928 2461736 2477476 2896160 2959360 3077170 3096845 3403264 3425024 3639088 4003840 4029440 4254080 4281280 4548860 4633856 4923472 4954952 5231189 5792320 6154340 6193690 6806528 6850048 7278176 8058880 8508160 8562560 9097720 9267712 9846944 9909904 10462378 10529273 11584640 12308680 12387380 13613056 13700096 14245487 14556352 17016320 17125120 18195440 18535424 19693888 19819808 20924756 21058546 23169280 24617360 24774760 26155945 27400192 28490974 29112704 34032640 34250240 36390880 37070848 39387776 39639616 41849512 42117092 46338560 49234720 49549520 52311890 52646365 56981948 58225408 68065280 68500480 71227435 72781760 78775552 79279232 83699024 84234184 92677120 98469440 99099040 104623780 105292730 113963896 116450816 137000960 142454870 145563520 157551104 158558464 167398048 168468368 178997641 185354240 196938880 198198080 209247560 210585460 227927792 232901632 242173279 284909740 291127040 315102208 317116928 334796096 336936736 357995282 393877760 396396160 418495120 421170920 455855584 465803264 484346558 569819480 582254080 630204416 634233856 669592192 673873472 715990564 787755520 792792320 836990240 842341840 894988205 911711168 968693116 1139638960 1164508160 1210866395 1268467712 1339184384 1347746944 1431981128 1575511040 1585584640 1673980480 1684683680 1789976410 1823422336 1937386232 2279277920 2329016320 2421732790 2678368768 2695493888 2863962256 3151022080 3171169280 3347960960 3369367360 3579952820 3646844672 3874772464 4116945743 4558555840 4843465580 5356737536 5390987776 5727924512 6342338560 6695921920 6738734720 7159905640 7293689344 7749544928 8233891486 9117111680 9686931160 10713475072 10781975552 11455849024 13391843840 13477469440 14319811280 14587378688 15499089856 16467782972 18234223360 19373862320 20584728715 21563951104 22911698048 26783687680 26954938880 28639622560 29174757376 30998179712 32935565944 36468446720 38747724640 41169457430 45823396096 53567375360 53909877760 57279245120 61996359424 65871131888 72936893440 77495449280 82338914860 91646792192 107819755520 114558490240 123992718848 131742263776 145873786880 154990898560 164677829720 183293584384 229116980480 247985437696 263484527552 309981797120 329355659440 366587168768 458233960960 495970875392 526969055104 619963594240 658711318880 916467921920 1053938110208 1239927188480 1317422637760 1832935843840 2107876220416 2479854376960 2634845275520 4215752440832 5269690551040 8431504881664 10539381102080 21078762204160 42157524408320
• Sum of all divisors σ(n): 112268113186320
• Sum of proper divisors (its aliquot sum) s(n): 70110588778000
• 42157524408320 is an abundant number, because the sum of its proper divisors (70110588778000) is greater than itself. Its abundance is 27953064369680

Bases of 42157524408320

• Binary: 1001100101011110010000010001000101100000000000₂
• Hexadecimal: 0x265790445800
• Base-36: EXYWDK2RK

Squares and roots of 42157524408320

• 42157524408320 squared (42157524408320²) is 1777256864238096566085222400
• 42157524408320 cubed (42157524408320³) is 74924749633971820504754939237255610368000
• The square root of 42157524408320 is 6492882.5962218041
• The cube root of 42157524408320 is 34803.6692987445

Scales and comparisons

• 42,157,524,408,320 seconds is equal to 1,340,478 years, 45 weeks, 3 days, 6 hours, 45 minutes, 20 seconds.
• To count from 1 to 42,157,524,408,320 would take you about three million, three hundred fifty-one thousand, one hundred ninety-seven 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 42157524408320 cubic inches would be around 2900.3 feet tall.

Recreational maths with 42157524408320

• 42157524408320 backwards is 02380442575124
• The number of decimal digits it has is: 14
• The sum of 42157524408320's digits is 47
• More coming soon!