45474291538880400

Names of 45474291538880400

• Cardinal: 45474291538880400 can be written as Forty-five quadrillion, four hundred seventy-four trillion, two hundred ninety-one billion, five hundred thirty-eight million, eight hundred eighty thousand, four hundred.

Scientific notation

• Scientific notation: 4.54742915388804 × 10¹⁶

Factors of 45474291538880400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 72550

Divisors of 45474291538880400

• Number of divisors d(n): 675
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 35 36 40 42 45 48 49 50 56 60 63 70 72 75 80 84 90 98 100 105 112 120 126 140 144 147 150 168 175 180 196 200 210 225 240 245 252 280 294 300 315 336 343 350 360 392 400 420 441 450 490 504 525 560 588 600 630 686 700 720 735 784 840 882 900 980 1008 1029 1050 1176 1200 1225 1260 1372 1400 1470 1575 1680 1715 1764 1800 1960 2058 2100 2205 2352 2401 2450 2520 2744 2800 2940 3087 3150 3430 3528 3600 3675 3920 4116 4200 4410 4802 4900 5040 5145 5488 5880 6174 6300 6860 7056 7203 7350 8232 8400 8575 8820 9604 9800 10290 11025 11760 12005 12348 12600 13720 14406 14700 15435 16464 17150 17640 19208 19600 20580 21609 22050 24010 24696 25200 25725 27440 28812 29400 30870 34300 35280 36015 38416 41160 43218 44100 48020 49392 51450 57624 58800 60025 61740 68600 72030 72533 77175 82320 86436 88200 96040 102900 108045 115248 120050 123480 137200 144060 145066 154350 172872 176400 180075 192080 205800 216090 217599 240100 246960 288120 290132 308700 345744 360150 362665 411600 432180 435198 480200 507731 540225 576240 580264 617400 652797 720300 725330 864360 870396 960400 1015462 1080450 1087995 1160528 1234800 1305594 1440600 1450660 1523193 1728720 1740792 1813325 2030924 2160900 2175990 2538655 2611188 2881200 2901320 3046386 3263985 3481584 3554117 3626650 4061848 4321800 4351980 4569579 5077310 5222376 5439975 5802640 6092772 6527970 7108234 7253300 7615965 8123696 8643600 8703960 9139158 10154620 10444752 10662351 10879950 12185544 12693275 13055940 14216468 14506600 15231930 16319925 17407920 17770585 18278316 20309240 21324702 21759900 22847895 24371088 24878819 25386550 26111880 28432936 29013200 30463860 31987053 32639850 35541170 36556632 38079825 40618480 42649404 43519800 45695790 49757638 50773100 52223760 53311755 56865872 60927720 63974106 65279700 71082340 73113264 74636457 76159650 85298808 87039600 88852925 91391580 99515276 101546200 106623510 114239475 121855440 124394095 127948212 130559400 142164680 149272914 152319300 159935265 170597616 174151733 177705850 182783160 199030552 203092400 213247020 223909371 228478950 248788190 255896424 261118800 266558775 284329360 298545828 304638600 319870530 348303466 355411700 365566320 373182285 398061104 426494040 447818742 456957900 497576380 511792848 522455199 533117550 597091656 609277200 621970475 639741060 696606932 710823400 746364570 799676325 852988080 870758665 895637484 913915800 995152760 1044910398 1066235100 1119546855 1194183312 1243940950 1279482120 1393213864 1421646800 1492729140 1567365597 1599352650 1741517330 1791274968 1827831600 1865911425 1990305520 2089820796 2132470200 2239093710 2487881900 2558964240 2612275995 2786427728 2985458280 3134731194 3198705300 3483034660 3582549936 3731822850 4179641592 4264940400 4353793325 4478187420 4975763800 5224551990 5261036089 5597734275 5970916560 6269462388 6397410600 6966069320 7463645700 7836827985 8359283184 8707586650 8956374840 9951527600 10449103980 10522072178 11195468550 12538924776 12794821200 13061379975 13932138640 14927291400 15673655970 15783108267 17415173300 17912749680 20898207960 21044144356 22390937100 25077849552 26122759950 26305180445 29854582800 31347311940 31566216534 34830346600 36827252623 39184139925 41796415920 42088288712 44781874200 47349324801 52245519900 52610360890 62694623880 63132433068 69660693200 73654505246 78368279850 78915541335 84176577424 89563748400 94698649602 104491039800 105220721780 110481757869 125389247760 126264866136 131525902225 147309010492 156736559700 157831082670 184136263115 189397299204 208982079600 210441443560 220963515738 236746624005 252529732272 257790768361 263051804450 294618020984 313473119400 315662165340 331445273607 368272526230 378794598408 394577706675 420882887120 441927031476 473493248010 515581536722 526103608900 552408789345 589236041968 626946238800 631324330680 662890547214 736545052460 757589196816 773372305083 789155413350 883854062952 920681315575 946986496020 1031163073444 1052207217800 1104817578690 1183733120025 1262648661360 1288953841805 1325781094428 1473090104920 1546744610166 1578310826700 1657226368035 1767708125904 1804535378527 1841362631150 1893972992040 2062326146888 2104414435600 2209635157380 2320116915249 2367466240050 2577907683610 2651562188856 2762043946725 2946180209840 3093489220332 3156621653400 3314452736070 3609070757054 3682725262300 3787945984080 3866861525415 4124652293776 4419270314760 4640233830498 4734932480100 5155815367220 5303124377712 5413606135581 5524087893450 6186978440664 6313243306800 6444769209025 6628905472140 7218141514108 7365450524600 7733723050830 8286131840175 8838540629520 9022676892635 9280467660996 9469864960200 10311630734440 10827212271162 11048175786900 11600584576245 12373956881328 12631747649689 12889538418050 13257810944280 14436283028216 14730901049200 15467446101660 16240818406743 16572263680350 18045353785270 18560935321992 18939729920400 19334307627075 20623261468880 21654424542324 22096351573800 23201169152490 25263495299378 25779076836100 26515621888560 27068030677905 28872566056432 30934892203320 32481636813486 33144527360700 36090707570540 37121870643984 37895242949067 38668615254150 43308849084648 44192703147600 45113384463175 46402338304980 50526990598756 51558153672200 54136061355810 58002922881225 61869784406640 63158738248445 64963273626972 66289054721400 72181415141080 75790485898134 77337230508300 81204092033715 86617698169296 90226768926350 92804676609960 101053981197512 103116307344400 108272122711620 113685728847201 116005845762450 126317476496890 129926547253944 132578109442800 135340153389525 144362830282160 151580971796268 154674461016600 162408184067430 180453537852700 185609353219920 189476214745335 202107962395024 216544245423240 227371457694402 232011691524900 252634952993780 259853094507888 270680306779050 303161943592536 309348922033200 315793691242225 324816368134860 360907075705400 378952429490670 406020460168575 433088490846480 454742915388804 464023383049800 505269905987560 541360613558100 568428644236005 606323887185072 631587382484450 649632736269720 721814151410800 757904858981340 812040920337150 909485830777608 928046766099600 947381073726675 1010539811975120 1082721227116200 1136857288472010 1263174764968900 1299265472539440 1515809717962680 1624081840674300 1818971661555216 1894762147453350 2165442454232400 2273714576944020 2526349529937800 2842143221180025 3031619435925360 3248163681348600 3789524294906700 4547429153888040 5052699059875600 5684286442360050 6496327362697200 7579048589813400 9094858307776080 11368572884720100 15158097179626800 22737145769440200 45474291538880400
• Sum of all divisors σ(n): 184101411106016339
• Sum of proper divisors (its aliquot sum) s(n): 138627119567135939
• 45474291538880400 is an abundant number, because the sum of its proper divisors (138627119567135939) is greater than itself. Its abundance is 93152828028255539

Bases of 45474291538880400

• Binary: 10100001100011101010000010010001100101100110011110010000₂
• Hexadecimal: 0xA18EA091966790
• Base-36: CFRAH4UU2S0

Squares and roots of 45474291538880400

• 45474291538880400 squared (45474291538880400²) is 2067911190963089537984885504160000
• 45474291538880400 cubed (45474291538880400³) is 94036796374368913660046312482963844995942464000000
• 45474291538880400 is a perfect square number. Its square root is 213247020
• The cube root of 45474291538880400 is 356934.5985665403

Scales and comparisons

• 45,474,291,538,880,400 seconds is equal to 1,445,941,809 years, 37 weeks, 2 days, 1 hour.
• To count from 1 to 45,474,291,538,880,400 would take you about four billion, three hundred thirty-seven million, eight hundred twenty-five thousand, four hundred twenty-nine 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 45474291538880400 cubic inches would be around 29744.5 feet tall.

Recreational maths with 45474291538880400

• 45474291538880400 backwards is 00408883519247454
• 45474291538880400 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 45474291538880400's digits is 72
• More coming soon!