46228216455950400

Names of 46228216455950400

• Cardinal: 46228216455950400 can be written as Forty-six quadrillion, two hundred twenty-eight trillion, two hundred sixteen billion, four hundred fifty-five million, nine hundred fifty thousand, four hundred.

Scientific notation

• Scientific notation: 4.62282164559504 × 10¹⁶

Factors of 46228216455950400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 199091

Divisors of 46228216455950400

• Number of divisors d(n): 441
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 135 144 150 160 162 180 192 200 216 225 240 243 270 288 300 320 324 360 400 405 432 450 480 486 540 576 600 648 675 720 729 800 810 864 900 960 972 1080 1200 1215 1296 1350 1440 1458 1600 1620 1728 1800 1944 2025 2160 2400 2430 2592 2700 2880 2916 3240 3600 3645 3888 4050 4320 4800 4860 5184 5400 5832 6075 6480 7200 7290 7776 8100 8640 9720 10800 11664 12150 12960 14400 14580 15552 16200 18225 19440 21600 23328 24300 25920 29160 32400 36450 38880 43200 46656 48600 58320 64800 72900 77760 97200 116640 129600 145800 194400 199081 233280 291600 388800 398162 583200 597243 796324 995405 1166400 1194486 1592648 1791729 1990810 2388972 2986215 3185296 3583458 3981620 4777944 4977025 5375187 5972430 6370592 7166916 7963240 8958645 9555888 9954050 10750374 11944860 12741184 14333832 14931075 15926480 16125561 17917290 19111776 19908100 21500748 23889720 26875935 28667664 29862150 31852960 32251122 35834580 38223552 39816200 43001496 44793225 47779440 48376683 53751870 57335328 59724300 63705920 64502244 71669160 79632400 80627805 86002992 89586450 95558880 96753366 107503740 114670656 119448600 129004488 134379675 143338320 145130049 159264800 161255610 172005984 179172900 191117760 193506732 215007480 238897200 241883415 258008976 268759350 286676640 290260098 318529600 322511220 344011968 358345800 387013464 403139025 430014960 477794400 483766830 516017952 537518700 573353280 580520196 645022440 716691600 725650245 774026928 806278050 860029920 955588800 967533660 1032035904 1075037400 1161040392 1209417075 1290044880 1433383200 1451300490 1548053856 1612556100 1720059840 1935067320 2150074800 2322080784 2418834150 2580089760 2866766400 2902600980 3096107712 3225112200 3628251225 3870134640 4300149600 4644161568 4837668300 5160179520 5805201960 6450224400 7256502450 7740269280 8600299200 9288323136 9675336600 11610403920 12900448800 14513004900 15480538560 19350673200 23220807840 25800897600 29026009800 38701346400 39633244561 46441615680 58052019600 77402692800 79266489122 116104039200 118899733683 158532978244 198166222805 232208078400 237799467366 317065956488 356699201049 396332445610 475598934732 594498668415 634131912976 713398402098 792664891220 951197869464 990831114025 1070097603147 1188997336830 1268263825952 1426796804196 1585329782440 1783496005245 1902395738928 1981662228050 2140195206294 2377994673660 2536527651904 2853593608392 2972493342075 3170659564880 3210292809441 3566992010490 3804791477856 3963324456100 4280390412588 4755989347320 5350488015735 5707187216784 5944986684150 6341319129760 6420585618882 7133984020980 7609582955712 7926648912200 8560780825176 8917480026225 9511978694640 9630878428323 10700976031470 11414374433568 11889973368300 12682638259520 12841171237764 14267968041960 15853297824400 16051464047205 17121561650352 17834960052450 19023957389280 19261756856646 21401952062940 22828748867136 23779946736600 25682342475528 26752440078675 28535936083920 28892635284969 31706595648800 32102928094410 34243123300704 35669920104900 38047914778560 38523513713292 42803904125880 47559893473200 48154392141615 51364684951056 53504880157350 57071872167840 57785270569938 63413191297600 64205856188820 68486246601408 71339840209800 77047027426584 80257320236025 85607808251760 95119786946400 96308784283230 102729369902112 107009760314700 114143744335680 115570541139876 128411712377640 142679680419600 144463176424845 154094054853168 160514640472050 171215616503520 190239573892800 192617568566460 205458739804224 214019520629400 231141082279752 240771960708075 256823424755280 285359360839200 288926352849690 308188109706336 321029280944100 342431233007040 385235137132920 428039041258800 462282164559504 481543921416150 513646849510560 570718721678400 577852705699380 616376219412672 642058561888200 722315882124225 770470274265840 856078082517600 924564329119008 963087842832300 1027293699021120 1155705411398760 1284117123776400 1444631764248450 1540940548531680 1712156165035200 1849128658238016 1926175685664600 2311410822797520 2568234247552800 2889263528496900 3081881097063360 3852351371329200 4622821645595040 5136468495105600 5778527056993800 7704702742658400 9245643291190080 11557054113987600 15409405485316800 23114108227975200 46228216455950400
• Sum of all divisors σ(n): 170548296311382663
• Sum of proper divisors (its aliquot sum) s(n): 124320079855432263
• 46228216455950400 is an abundant number, because the sum of its proper divisors (124320079855432263) is greater than itself. Its abundance is 78091863399481863

Bases of 46228216455950400

• Binary: 10100100001111000101000101100100011101001111000001000000₂
• Hexadecimal: 0xA43C516474F040
• Base-36: CN6J9GKP000

Squares and roots of 46228216455950400

• 46228216455950400 squared (46228216455950400²) is 2137047996698203360863567260160000
• 46228216455950400 cubed (46228216455950400³) is 98791917368119720691671435500292512256856064000000
• 46228216455950400 is a perfect square number. Its square root is 215007480
• The cube root of 46228216455950400 is 358896.3537095815

Scales and comparisons

• 46,228,216,455,950,400 seconds is equal to 1,469,914,290 years, 1 week, 6 days, 12 hours.
• To count from 1 to 46,228,216,455,950,400 would take you about four billion, four hundred nine million, seven hundred forty-two thousand, eight hundred seventy 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 46228216455950400 cubic inches would be around 29908 feet tall.

Recreational maths with 46228216455950400

• 46228216455950400 backwards is 00405955461282264
• The number of decimal digits it has is: 17
• The sum of 46228216455950400's digits is 63
• More coming soon!