47228116493926400

Names of 47228116493926400

• Cardinal: 47228116493926400 can be written as Forty-seven quadrillion, two hundred twenty-eight trillion, one hundred sixteen billion, four hundred ninety-three million, nine hundred twenty-six thousand, four hundred.

Scientific notation

• Scientific notation: 4.72281164939264 × 10¹⁶

Factors of 47228116493926400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 1972

Divisors of 47228116493926400

• Number of divisors d(n): 1080
• Complete list of divisors:
  1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 73 76 80 95 100 128 146 152 160 190 200 256 292 304 320 361 365 380 400 475 512 584 608 640 722 730 760 800 950 1024 1168 1216 1280 1387 1444 1460 1520 1600 1805 1825 1873 1900 2048 2336 2432 2560 2774 2888 2920 3040 3200 3610 3650 3746 3800 4096 4672 4864 5120 5329 5548 5776 5840 6080 6400 6935 7220 7300 7492 7600 8192 9025 9344 9365 9728 10240 10658 11096 11552 11680 12160 12800 13870 14440 14600 14984 15200 16384 18050 18688 18730 19456 20480 21316 22192 23104 23360 24320 25600 26353 26645 27740 28880 29200 29968 30400 32768 34675 35587 36100 37376 37460 38912 40960 42632 44384 46208 46720 46825 48640 51200 52706 53290 55480 57760 58400 59936 60800 65536 69350 71174 72200 74752 74920 77824 81920 85264 88768 92416 93440 93650 97280 101251 102400 105412 106580 110960 115520 116800 119872 121600 131072 131765 133225 136729 138700 142348 144400 149504 149840 155648 163840 170528 177536 177935 184832 186880 187300 194560 202502 204800 210824 213160 221920 231040 233600 239744 243200 262144 263530 266450 273458 277400 284696 288800 299008 299680 311296 327680 341056 355072 355870 369664 373760 374600 389120 405004 409600 421648 426320 443840 462080 467200 479488 486400 506255 524288 527060 532900 546916 554800 569392 577600 598016 599360 622592 655360 658825 676153 682112 683645 710144 711740 739328 747520 749200 778240 810008 819200 843296 852640 887680 889675 924160 934400 958976 972800 1012510 1054120 1065800 1093832 1109600 1138784 1155200 1196032 1198720 1245184 1310720 1317650 1352306 1364224 1367290 1420288 1423480 1478656 1495040 1498400 1556480 1620016 1638400 1686592 1705280 1775360 1779350 1848320 1868800 1917952 1923769 1945600 2025020 2108240 2131600 2187664 2219200 2277568 2310400 2392064 2397440 2490368 2531275 2597851 2621440 2635300 2704612 2728448 2734580 2840576 2846960 2957312 2990080 2996800 3112960 3240032 3276800 3373184 3380765 3410560 3418225 3550720 3558700 3696640 3737600 3835904 3847538 3891200 4050040 4216480 4263200 4375328 4438400 4555136 4620800 4784128 4794880 4980736 5062550 5195702 5270600 5409224 5456896 5469160 5681152 5693920 5914624 5980160 5993600 6225920 6480064 6553600 6746368 6761530 6821120 6836450 7101440 7117400 7393280 7475200 7671808 7695076 7782400 8100080 8432960 8526400 8750656 8876800 9110272 9241600 9568256 9589760 9618845 9961472 9981217 10125100 10391404 10541200 10818448 10913792 10938320 11362304 11387840 11829248 11960320 11987200 12451840 12960128 12989255 13107200 13492736 13523060 13642240 13672900 14202880 14234800 14786560 14950400 15343616 15390152 15564800 16200160 16865920 16903825 17052800 17501312 17753600 18220544 18483200 19136512 19179520 19237690 19962434 20250200 20782808 21082400 21636896 21827584 21876640 22724608 22775680 23658496 23920640 23974400 24903680 25920256 25978510 26985472 27046120 27284480 27345800 28405760 28469600 29573120 29900800 30687232 30780304 31129600 32400320 33731840 33807650 34105600 35002624 35507200 36441088 36966400 38273024 38359040 38475380 39924868 40500400 41565616 42164800 43273792 43655168 43753280 45449216 45551360 47316992 47841280 47948800 48094225 49359169 49807360 49906085 51840512 51957020 53970944 54092240 54568960 54691600 56811520 56939200 59146240 59801600 61374464 61560608 62259200 64800640 64946275 67463680 67615300 68211200 70005248 71014400 72882176 73932800 76718080 76950760 79849736 81000800 83131232 84329600 86547584 87310336 87506560 90898432 91102720 94633984 95682560 95897600 96188450 98718338 99812170 103681024 103914040 107941888 108184480 109137920 109383200 113623040 113878400 118292480 119603200 122748928 123121216 124518400 129601280 129892550 134927360 135230600 136422400 140010496 142028800 145764352 147865600 153436160 153901520 159699472 162001600 166262464 168659200 173095168 174620672 175013120 181796864 182205440 189267968 189643123 191365120 191795200 192376900 197436676 199624340 207362048 207828080 215883776 216368960 218275840 218766400 227246080 227756800 236584960 239206400 245497856 246242432 246795845 249036800 249530425 259202560 259785100 269854720 270461200 272844800 280020992 284057600 291528704 295731200 306872320 307803040 319398944 324003200 332524928 337318400 346190336 349241344 350026240 363593728 364410880 379286246 383590400 384753800 394873352 399248680 414724096 415656160 431767552 432737920 436551680 437532800 454492160 455513600 473169920 478412800 490995712 492484864 493591690 499060850 518405120 519570200 539709440 540922400 545689600 560041984 568115200 583057408 591462400 613744640 615606080 638797888 648006400 665049856 674636800 692380672 698482688 700052480 727187456 728821760 758572492 767180800 769507600 789746704 798497360 829448192 831312320 863535104 865475840 873103360 875065600 908984320 911027200 946339840 948215615 956825600 981991424 984969728 987183380 998121700 1036810240 1039140400 1079418880 1081844800 1091379200 1120083968 1136230400 1166114816 1182924800 1227489280 1231212160 1233979225 1277595776 1296012800 1330099712 1349273600 1384761344 1396965376 1400104960 1457643520 1517144984 1534361600 1539015200 1579493408 1596994720 1658896384 1662624640 1727070208 1730951680 1746206720 1750131200 1817968640 1822054400 1896431230 1969939456 1974366760 1996243400 2073620480 2078280800 2158837760 2163689600 2182758400 2240167936 2272460800 2332229632 2365849600 2454978560 2462424320 2467958450 2555191552 2592025600 2660199424 2698547200 2769522688 2793930752 2800209920 2915287040 3034289968 3068723200 3078030400 3158986816 3193989440 3317792768 3325249280 3454140416 3461903360 3492413440 3500262400 3603219337 3635937280 3644108800 3792862460 3939878912 3948733520 3992486800 4147240960 4156561600 4317675520 4327379200 4365516800 4480335872 4544921600 4664459264 4731699200 4741078075 4909957120 4924848640 4935916900 5110383104 5184051200 5320398848 5397094400 5539045376 5600419840 5830574080 6068579936 6137446400 6156060800 6317973632 6387978880 6635585536 6650498560 6908280832 6923806720 6984826880 7000524800 7206438674 7288217600 7585724920 7879757824 7897467040 7984973600 8294481920 8313123200 8635351040 8654758400 8731033600 8960671744 9089843200 9328918528 9482156150 9849697280 9871833800 10220766208 10368102400 10640797696 10794188800 11078090752 11200839680 11661148160 12137159872 12274892800 12312121600 12635947264 12775957760 13271171072 13300997120 13816561664 13847613440 13969653760 14001049600 14412877348 14576435200 15171449840 15759515648 15794934080 15969947200 16588963840 16626246400 17270702080 17309516800 17462067200 17921343488 18016096685 18179686400 18657837056 18964312300 19699394560 19743667600 20441532416 20736204800 21281595392 21588377600 22156181504 22401679360 23322296320 24274319744 24549785600 24624243200 25271894528 25551915520 26542342144 26601994240 27695226880 28002099200 28825754696 29152870400 30342899680 31519031296 31589868160 31939894400 33177927680 33252492800 34541404160 34619033600 34924134400 35842686976 36032193370 37928624600 39398789120 39487335200 40883064832 41472409600 42563190784 43176755200 44312363008 44803358720 46644592640 48548639488 49248486400 50543789056 51103831040 53084684288 53203988480 55390453760 56004198400 57651509392 58305740800 60685799360 63038062592 63179736320 63879788800 66355855360 66504985600 69082808320 69238067200 69848268800 71685373952 72064386740 75857249200 78797578240 78974670400 81766129664 82944819200 85126381568 86353510400 88624726016 89606717440 90080483425 93289185280 97097278976 98496972800 101087578112 102207662080 106407976960 110780907520 112008396800 115303018784 116611481600 121371598720 126076125184 126359472640 127759577600 132711710720 133009971200 138476134400 144128773480 151714498400 157595156480 157949340800 163532259328 165889638400 170252763136 172707020800 177249452032 179213434880 180160966850 194194557952 196993945600 202175156224 204415324160 212815953920 221561815040 224016793600 230606037568 233222963200 242743197440 252152250368 252718945280 255519155200 265423421440 266019942400 276952268800 288257546960 303428996800 315190312960 315898681600 327064518656 331779276800 340505526272 345414041600 354498904064 358426869760 360321933700 388389115904 393987891200 404350312448 408830648320 425631907840 443123630080 448033587200 461212075136 466445926400 485486394880 504304500736 505437890560 511038310400 532039884800 553904537600 576515093920 606857993600 630380625920 631797363200 654129037312 663558553600 681011052544 720643867400 776778231808 787975782400 808700624896 817661296640 851263815680 886247260160 896067174400 922424150272 970972789760 1008609001472 1010875781120 1022076620800 1064079769600 1107809075200 1153030187840 1213715987200 1260761251840 1263594726400 1308258074624 1327117107200 1362022105088 1441287734800 1553556463616 1575951564800 1617401249792 1635322593280 1702527631360 1772494520320 1792134348800 1844848300544 1941945579520 2021751562240 2044153241600 2128159539200 2215618150400 2306060375680 2427431974400 2521522503680 2527189452800 2616516149248 2882575469600 3107112927232 3151903129600 3234802499584 3270645186560 3405055262720 3689696601088 3883891159040 4043503124480 4088306483200 4256319078400 4431236300800 4612120751360 4854863948800 5043045007360 5054378905600 5233032298496 5765150939200 6214225854464 6303806259200 6469604999168 6541290373120 6810110525440 7379393202176 7767782318080 8087006248960 8176612966400 8512638156800 8862472601600 9224241502720 9709727897600 10108757811200 11530301878400 12428451708928 12607612518400 12939209998336 13082580746240 14758786404352 15535564636160 16174012497920 16353225932800 17025276313600 18448483005440 19419455795200 20217515622400 23060603756800 24856903417856 25215225036800 25878419996672 26165161492480 29517572808704 31071129272320 32348024995840 32706451865600 34050552627200 36896966010880 38838911590400 40435031244800 46121207513600 49713806835712 59035145617408 62142258544640 64696049991680 65412903731200 73793932021760 77677823180800 80870062489600 92242415027200 99427613671424 118070291234816 124284517089280 129392099983360 130825807462400 147587864043520 155355646361600 161740124979200 184484830054400 236140582469632 248569034178560 295175728087040 310711292723200 323480249958400 368969660108800 472281164939264 497138068357120 590351456174080 621422585446400 646960499916800 737939320217600 944562329878528 1180702912348160 1242845170892800 1475878640435200 1889124659757056 2361405824696320 2485690341785600 2951757280870400 4722811649392640 5903514561740800 9445623298785280 11807029123481600 23614058246963200 47228116493926400
• Sum of all divisors σ(n): 125398032573315150
• Sum of proper divisors (its aliquot sum) s(n): 78169916079388750
• 47228116493926400 is an abundant number, because the sum of its proper divisors (78169916079388750) is greater than itself. Its abundance is 30941799585462350

Bases of 47228116493926400

• Binary: 10100111110010011011100011000011000010000000000000000000₂
• Hexadecimal: 0xA7C9B8C3080000
• Base-36: CX0YX72NG8W

Squares and roots of 47228116493926400

• 47228116493926400 squared (47228116493926400²) is 2230494987563882873288088616960000
• 47228116493926400 cubed (47228116493926400³) is 105342077111785977175536588244908220816031744000000
• The square root of 47228116493926400 is 217320308.5170053775
• The cube root of 47228116493926400 is 361465.5189835435

Scales and comparisons

• 47,228,116,493,926,400 seconds is equal to 1,501,708,018 years, 18 weeks, 1 day, 16 hours, 53 minutes, 20 seconds.
• To count from 1 to 47,228,116,493,926,400 would take you about four billion, five hundred five million, one hundred twenty-four thousand and fifty-five 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 47228116493926400 cubic inches would be around 30122.1 feet tall.

Recreational maths with 47228116493926400

• 47228116493926400 backwards is 00462939461182274
• The number of decimal digits it has is: 17
• The sum of 47228116493926400's digits is 68
• More coming soon!