45468590464800

Names of 45468590464800

• Cardinal: 45468590464800 can be written as Forty-five trillion, four hundred sixty-eight billion, five hundred ninety million, four hundred sixty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 4.54685904648 × 10¹³

Factors of 45468590464800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2497

Divisors of 45468590464800

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 30 32 36 40 45 46 47 48 50 60 69 72 75 80 90 92 94 96 100 115 120 138 141 144 150 160 180 184 188 200 207 225 230 235 240 276 282 288 300 345 360 368 376 400 414 423 450 460 470 480 552 564 575 600 690 705 720 736 752 800 828 846 900 920 940 1035 1081 1104 1128 1150 1175 1200 1380 1410 1440 1504 1656 1692 1725 1800 1840 1880 2070 2115 2162 2208 2256 2300 2350 2400 2417 2760 2820 3243 3312 3384 3450 3525 3600 3680 3760 4140 4230 4324 4512 4600 4700 4834 5175 5405 5520 5640 6486 6624 6768 6900 7050 7200 7251 7520 8280 8460 8648 9200 9400 9668 9729 10350 10575 10810 11040 11280 12085 12972 13536 13800 14100 14502 16215 16560 16920 17296 18400 18800 19336 19458 20700 21150 21620 21753 22560 24170 25944 27025 27600 28200 29004 32430 33120 33840 34592 36255 37600 38672 38916 41400 42300 43240 43506 48340 48645 51888 54050 55200 55591 56400 58008 60425 64860 67680 72510 77344 77832 81075 82800 84600 86480 87012 96680 97290 103776 108100 108765 111182 112800 113599 116016 120850 129720 145020 155664 162150 165600 166773 169200 172960 174024 181275 193360 194580 216200 217530 222364 227198 232032 241700 243225 259440 277955 290040 311328 324300 333546 338400 340797 348048 362550 386720 389160 432400 435060 444728 454396 483400 486450 500319 518880 543825 555910 567995 580080 648600 667092 681594 696096 725100 778320 833865 864800 870120 889456 908792 966800 972900 1000638 1022391 1087650 1111820 1135990 1160160 1297200 1334184 1363188 1389775 1450200 1556640 1667730 1703985 1740240 1778912 1817584 1933600 1945800 2001276 2044782 2175300 2223640 2271980 2501595 2594400 2612777 2668368 2726376 2779550 2839975 2900400 3335460 3407970 3480480 3635168 3891600 4002552 4089564 4169325 4350600 4447280 4543960 5003190 5111955 5225554 5336736 5452752 5559100 5679950 5800800 5841889 6670920 6815940 7783200 7838331 8005104 8179128 8338650 8519925 8701200 8894560 9087920 10006380 10223910 10451108 10905504 11118200 11359900 11683778 12507975 13063885 13341840 13631880 15676662 16010208 16358256 16677300 17039850 17402400 17525667 18175840 20012760 20447820 20902216 22236400 22719800 23367556 23514993 25015950 25559775 26127770 26683680 27263760 29209445 31353324 32716512 33354600 34079700 35051334 39191655 40025520 40895640 41804432 44472800 45439600 46735112 47029986 50031900 51119550 52255540 52577001 54527520 58418890 62706648 65319425 66709200 68159400 70102668 78383310 80051040 81791280 83608864 87628335 90879200 93470224 94059972 100063800 102239100 104511080 105154002 116837780 117574965 125413296 130638850 133418400 134363447 136318800 140205336 146047225 156766620 163582560 175256670 186940448 188119944 195958275 200127600 204478200 209022160 210308004 233675560 235149930 250826592 261277700 262885005 268726894 272637600 274568783 280410672 292094450 313533240 350513340 376239888 391916550 400255200 403090341 408956400 418044320 420616008 438141675 467351120 470299860 522555400 525770010 537453788 549137566 560821344 584188900 587874825 627066480 671817235 701026680 752479776 783833100 806180682 817912800 823706349 841232016 876283350 934702240 940599720 1045110800 1051540020 1074907576 1098275132 1168377800 1175749650 1209271023 1254132960 1314425025 1343634470 1372843915 1402053360 1567666200 1612361364 1647412698 1682464032 1752566700 1881199440 2015451705 2090221600 2103080040 2149815152 2196550264 2336755600 2351499300 2418542046 2471119047 2628850050 2687268940 2745687830 2804106720 3135332400 3224722728 3294825396 3359086175 3505133400 3762398880 4030903410 4118531745 4206160080 4299630304 4393100528 4673511200 4702998600 4837084092 4942238094 5257700100 5374537880 5491375660 6046355115 6270664800 6315082009 6449445456 6589650792 6718172350 6864219575 7010266800 8061806820 8237063490 8412320160 8786201056 9405997200 9674168184 9884476188 10077258525 10515400200 10749075760 10982751320 12092710230 12355595235 12630164018 12898890912 13179301584 13436344700 13728439150 14020533600 16123613640 16474126980 18811994400 18945246027 19348336368 19768952376 20154517050 20592658725 21030800400 21498151520 21965502640 24185420460 24711190470 25260328036 26358603168 26872689400 27456878300 30231775575 31575410045 32247227280 32948253960 37890492054 38696672736 39537904752 40309034100 41185317450 42061600800 43931005280 48370840920 49422380940 50520656072 53745378800 54913756600 56835738081 60463551150 61777976175 63150820090 64494454560 65896507920 75780984108 79075809504 80618068200 82370634900 94726230135 96741681840 98844761880 101041312144 107490757600 109827513200 113671476162 120927102300 123555952350 126301640180 131793015840 151561968216 157877050225 161236136400 164741269800 189452460270 193483363680 197689523760 202082624288 219655026400 227342952324 241854204600 247111904700 252603280360 284178690405 303123936432 315754100450 322472272800 329482539600 378904920540 395379047520 454685904648 473631150675 483708409200 494223809400 505206560720 568357380810 606247872864 631508200900 658965079200 757809841080 909371809296 947262301350 967416818400 988447618800 1010413121440 1136714761620 1263016401800 1420893452025 1515619682160 1818743618592 1894524602700 1976895237600 2273429523240 2526032803600 2841786904050 3031239364320 3789049205400 4546859046480 5052065607200 5683573808100 7578098410800 9093718092960 11367147616200 15156196821600 22734295232400 45468590464800
• Sum of all divisors σ(n): 170935039207296
• Sum of proper divisors (its aliquot sum) s(n): 125466448742496
• 45468590464800 is an abundant number, because the sum of its proper divisors (125466448742496) is greater than itself. Its abundance is 79997858277696

Bases of 45468590464800

• Binary: 1010010101101001111011001011101101111100100000₂
• Hexadecimal: 0x295A7B2EDF20
• Base-36: G47ZCSQW0

Squares and roots of 45468590464800

• 45468590464800 squared (45468590464800²) is 2067392718855701480039040000
• 45468590464800 cubed (45468590464800³) is 94001432863559295482418341675745792000000
• The square root of 45468590464800 is 6743040.1500213537
• The cube root of 45468590464800 is 35691.9681745309

Scales and comparisons

• 45,468,590,464,800 seconds is equal to 1,445,760 years, 27 weeks, 5 days, 2 hours.
• To count from 1 to 45,468,590,464,800 would take you about three million, six hundred fourteen thousand, four hundred one 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 45468590464800 cubic inches would be around 2974.3 feet tall.

Recreational maths with 45468590464800

• 45468590464800 backwards is 00846409586454
• The number of decimal digits it has is: 14
• The sum of 45468590464800's digits is 63
• More coming soon!