45090252292137920

Names of 45090252292137920

• Cardinal: 45090252292137920 can be written as Forty-five quadrillion, ninety trillion, two hundred fifty-two billion, two hundred ninety-two million, one hundred thirty-seven thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 4.509025229213792 × 10¹⁶

Factors of 45090252292137920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 734490

Divisors of 45090252292137920

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 140 155 160 217 224 248 280 310 320 434 448 496 560 620 811 868 992 1085 1093 1120 1240 1622 1736 1984 2170 2186 2240 2480 3244 3472 4055 4340 4372 4960 5465 5677 6488 6944 7651 8110 8680 8744 9920 10930 11354 12976 13888 15302 16220 17360 17488 21860 22708 25141 25952 28385 30604 32440 33883 34720 34976 38255 43720 45416 50282 51904 56770 61208 64880 67766 69440 69952 76510 87440 90832 100564 113540 122416 125705 129760 135532 153020 169415 174880 175987 181664 201128 227080 237181 244832 251410 259520 271064 306040 338830 349760 351974 363328 402256 454160 474362 489664 502820 542128 612080 677660 703948 732541 804512 879935 886423 908320 948724 1005640 1084256 1185905 1224160 1355320 1407896 1465082 1609024 1759870 1772846 1816640 1897448 2011280 2168512 2371810 2448320 2710640 2815792 2930164 3519740 3545692 3662705 3794896 4022560 4432115 4743620 5127787 5421280 5631584 5860328 6204961 7039480 7091384 7325410 7589792 8045120 8864230 9487240 10255574 10842560 11263168 11720656 12409922 14078960 14182768 14650820 15179584 17728460 18974480 20511148 22708771 23441312 24819844 25638935 27479113 28157920 28365536 29301640 31024805 35456920 37948960 41022296 45417542 46882624 49639688 51277870 54958226 56315840 56731072 58603280 62049610 70913840 75897920 82044592 90835084 99279376 102555740 109916452 113543855 117206560 124099220 137395565 141827680 158961397 164089184 181670168 192353791 198558752 205111480 219832904 227087710 234413120 248198440 274791130 283655360 317922794 328178368 363340336 384707582 397117504 410222960 439665808 454175420 496396880 549582260 594090751 635845588 726680672 769415164 794806985 800667313 820445920 879331616 908350840 961768955 992793760 1099164520 1188181502 1271691176 1453361344 1538830328 1589613970 1601334626 1640891840 1758663232 1816701680 1923537910 1985587520 2198329040 2376363004 2543382352 2970453755 3077660656 3179227940 3202669252 3633403360 3847075820 4003336565 4158635257 4396658080 4752726008 5086764704 5604671191 5940907510 6155321312 6358455880 6405338504 7266806720 7694151640 8006673130 8317270514 8793316160 9505452016 10173529408 11209342382 11881815020 12310642624 12716911760 12810677008 15388303280 16013346260 16634541028 18416813281 19010904032 20793176285 22418684764 23763630040 24820686703 25433823520 25621354016 28023355955 30776606560 32026692520 33269082056 36833626562 38021808064 41586352570 44837369528 47527260080 49641373406 50867647040 51242708032 56046711910 61553213120 64053385040 66538164112 73667253124 83172705140 89674739056 92084066405 95054520160 99282746812 112093423820 124103433515 128106770080 128917692967 133076328224 147334506248 166345410280 173744806921 179349478112 184168132810 190109040320 198565493624 224186847640 248206867030 256213540160 257835385934 266152656448 294669012496 332690820560 347489613842 358698956224 368336265620 397130987248 448373695280 496413734060 515670771868 589338024992 644588464835 649341190843 665381641120 694979227684 736672531240 794261974496 868724034605 896747390560 992827468120 1031341543736 1178676049984 1289176929670 1298682381686 1330763282240 1389958455368 1473345062480 1588523948992 1737448069210 1793494781120 1985654936240 2062683087472 2578353859340 2597364763372 2779916910736 2946690124960 3246705954215 3474896138420 3971309872480 4125366174944 4545388335901 5156707718680 5194729526744 5559833821472 5893380249920 6493411908430 6949792276840 7942619744960 8250732349888 9090776671802 10313415437360 10389459053488 11119667642944 12986823816860 13899584553680 18181553343604 20129576916133 20626830874720 20778918106976 22726941679505 25973647633720 27799169107360 36363106687208 40259153832266 41253661749440 41557836213952 45453883359010 51947295267440 55598338214720 72726213374416 80518307664532 90907766718020 100647884580665 103894590534880 140907038412931 145452426748832 161036615329064 181815533436040 201295769161330 207789181069760 281814076825862 290904853497664 322073230658128 363631066872080 402591538322660 563628153651724 644146461316256 704535192064655 727262133744160 805183076645320 1127256307303448 1288292922632512 1409070384129310 1454524267488320 1610366153290640 2254512614606896 2818140768258620 3220732306581280 4509025229213792 5636281536517240 6441464613162560 9018050458427584 11272563073034480 22545126146068960 45090252292137920
• Sum of all divisors σ(n): 126940679211343872
• Sum of proper divisors (its aliquot sum) s(n): 81850426919205952
• 45090252292137920 is an abundant number, because the sum of its proper divisors (81850426919205952) is greater than itself. Its abundance is 36760174627068032

Bases of 45090252292137920

• Binary: 10100000001100010101100001110110101101001010001111000000₂
• Hexadecimal: 0xA0315876B4A3C0
• Base-36: CBZ5RXUXA68

Squares and roots of 45090252292137920

• 45090252292137920 squared (45090252292137920²) is 2033130851768648948456244301926400
• 45090252292137920 cubed (45090252292137920³) is 91674383049177644908948491559619882829430489088000
• The square root of 45090252292137920 is 212344654.4939097825
• The cube root of 45090252292137920 is 355926.9625976359

Scales and comparisons

• 45,090,252,292,137,920 seconds is equal to 1,433,730,549 years, 30 weeks, 1 day, 21 hours, 25 minutes, 20 seconds.
• To count from 1 to 45,090,252,292,137,920 would take you about four billion, three hundred one million, one hundred ninety-one thousand, six 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 45090252292137920 cubic inches would be around 29660.6 feet tall.

Recreational maths with 45090252292137920

• 45090252292137920 backwards is 02973129225209054
• 45090252292137920 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 45090252292137920's digits is 62
• More coming soon!