45726442473364800

Names of 45726442473364800

• Cardinal: 45726442473364800 can be written as Forty-five quadrillion, seven hundred twenty-six trillion, four hundred forty-two billion, four hundred seventy-three million, three hundred sixty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 4.57264424733648 × 10¹⁶

Factors of 45726442473364800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 71626632983

Divisors of 45726442473364800

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 50 56 57 60 64 70 75 76 80 84 95 96 100 105 112 114 120 133 140 150 152 160 168 175 190 192 200 210 224 228 240 266 280 285 300 304 320 336 350 380 399 400 420 448 456 475 480 525 532 560 570 600 608 665 672 700 760 798 800 840 912 950 960 1050 1064 1120 1140 1200 1216 1330 1344 1400 1425 1520 1596 1600 1680 1824 1900 1995 2100 2128 2240 2280 2400 2660 2800 2850 3040 3192 3325 3360 3648 3800 3990 4200 4256 4560 4800 5320 5600 5700 6080 6384 6650 6720 7600 7980 8400 8512 9120 9975 10640 11200 11400 12768 13300 15200 15960 16800 18240 19950 21280 22800 25536 26600 30400 31920 33600 39900 42560 45600 53200 63840 79800 91200 106400 127680 159600 212800 319200 638400 71626632947 143253265894 214879898841 286506531788 358133164735 429759797682 501386430629 573013063576 716266329470 859519595364 1002772861258 1074399494205 1146026127152 1360906025993 1432532658940 1504159291887 1719039190728 1790665823675 2005545722516 2148798988410 2292052254304 2506932153145 2721812051986 2865065317880 3008318583774 3438078381456 3581331647350 4011091445032 4082718077979 4297597976820 4584104508608 5013864306290 5371997471025 5443624103972 5730130635760 6016637167548 6804530129965 6876156762912 7162663294700 7520796459435 8022182890064 8165436155958 8595195953640 9526342181951 10027728612580 10743994942050 10887248207944 11460261271520 12033274335096 12534660765725 13609060259930 13752313525824 14325326589400 15041592918870 16044365780128 16330872311916 17190391907280 19052684363902 20055457225160 20413590389895 21487989884100 21774496415888 22920522543040 24066548670192 25069321531450 27218120519860 28579026545853 28650653178800 30083185837740 32088731560256 32661744623832 34022650649825 34380783814560 37603982297175 38105368727804 40110914450320 40827180779790 42975979768200 43548992831776 47631710909755 48133097340384 50138643062900 54436241039720 57158053091706 57301306357600 60166371675480 65323489247664 68045301299650 68761567629120 75207964594350 76210737455608 80221828900640 81654361559580 85951959536400 87097985663552 95263421819510 96266194680768 100277286125800 102067951949475 108872482079440 114316106183412 114602612715200 120332743350960 130646978495328 136090602599300 142895132729265 150415929188700 152421474911216 160443657801280 163308723119160 171903919072800 190526843639020 200554572251600 204135903898950 217744964158880 228632212366824 238158554548775 240665486701920 261293956990656 272181205198600 285790265458530 300831858377400 304842949822432 326617446238320 343807838145600 381053687278040 401109144503200 408271807797900 435489928317760 457264424733648 476317109097550 481330973403840 544362410397200 571580530917060 601663716754800 609685899644864 653234892476640 714475663646325 762107374556080 802218289006400 816543615595800 914528849467296 952634218195100 1088724820794400 1143161061834120 1203327433509600 1306469784953280 1428951327292650 1524214749112160 1633087231191600 1829057698934592 1905268436390200 2177449641588800 2286322123668240 2406654867019200 2857902654585300 3048429498224320 3266174462383200 3810536872780400 4572644247336480 5715805309170600 6532348924766400 7621073745560800 9145288494672960 11431610618341200 15242147491121600 22863221236682400 45726442473364800
• Sum of all divisors σ(n): 180476194506416640
• Sum of proper divisors (its aliquot sum) s(n): 134749752033051840
• 45726442473364800 is an abundant number, because the sum of its proper divisors (134749752033051840) is greater than itself. Its abundance is 89023309559687040

Bases of 45726442473364800

• Binary: 10100010011100111111010100001000011101111001110101000000₂
• Hexadecimal: 0xA273F508779D40
• Base-36: CI8O5OAVSQO

Squares and roots of 45726442473364800

• 45726442473364800 squared (45726442473364800²) is 2090907541269940368157433879040000
• 45726442473364800 cubed (45726442473364800³) is 95609763403004564679746615523527632344993792000000
• The square root of 45726442473364800 is 213837420.6572946857
• The cube root of 45726442473364800 is 357593.1065583939

Scales and comparisons

• 45,726,442,473,364,800 seconds is equal to 1,453,959,429 years, 24 weeks, 6 days, 14 hours, 40 minutes.
• To count from 1 to 45,726,442,473,364,800 would take you about four billion, three hundred sixty-one million, eight hundred seventy-eight thousand, two hundred eighty-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 45726442473364800 cubic inches would be around 29799.4 feet tall.

Recreational maths with 45726442473364800

• 45726442473364800 backwards is 00846337424462754
• The number of decimal digits it has is: 17
• The sum of 45726442473364800's digits is 69
• More coming soon!