47132809635933216

Names of 47132809635933216

• Cardinal: 47132809635933216 can be written as Forty-seven quadrillion, one hundred thirty-two trillion, eight hundred nine billion, six hundred thirty-five million, nine hundred thirty-three thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 4.7132809635933216 × 10¹⁶

Factors of 47132809635933216

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 666

Divisors of 47132809635933216

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 71 72 78 96 104 117 142 144 156 169 208 213 234 284 288 312 338 416 426 468 507 568 577 624 639 676 852 923 936 1014 1136 1154 1248 1278 1352 1521 1704 1731 1846 1872 2028 2272 2308 2556 2704 2769 3042 3408 3462 3692 3744 4056 4616 5041 5112 5193 5408 5538 6084 6816 6924 7384 7501 8112 8307 9232 10082 10224 10386 11076 11999 12168 13848 14768 15002 15123 16224 16614 18464 20164 20448 20772 22152 22503 23998 24336 27696 29536 30004 30246 33228 35997 40328 40967 41544 44304 45006 45369 47996 48672 55392 60008 60492 65533 66456 67509 71994 80656 81934 83088 88608 90012 90738 95992 97513 107991 120016 120984 122901 131066 132912 135018 143988 161312 163868 166176 180024 181476 191984 195026 196599 215982 240032 241968 245802 262132 265824 270036 287976 292539 327736 332929 360048 362952 368703 383968 390052 393198 431964 483936 491604 524264 532571 540072 575952 585078 589797 655472 665858 720096 725904 737406 780104 786396 851929 863928 877617 983208 998787 1048528 1065142 1080144 1151904 1170156 1179594 1310944 1331716 1451808 1474812 1560208 1572792 1597713 1703858 1727856 1755234 1966416 1997574 2097056 2130284 2160288 2340312 2359188 2555787 2663432 2908657 2949624 2996361 3120416 3145584 3195426 3407716 3455712 3510468 3932832 3995148 4260568 4328077 4680624 4718376 4793139 5111574 5326864 5817314 5899248 5992722 6291168 6390852 6815432 6923423 7020936 7667361 7990296 8521136 8656154 8725971 9361248 9436752 9586278 10223148 10653728 11634628 11798496 11985444 12781704 12984231 13630864 13846846 14041872 15334722 15980592 17042272 17312308 17451942 18873504 19172556 20446296 20770269 23269256 23637959 23970888 25563408 25968462 26177913 27261728 27693692 28083744 30669444 31961184 34624616 34903884 37812541 38345112 38952693 40892592 41540538 46538512 47275918 47941776 51126816 51936924 52355826 55387384 56265001 61338888 62310807 69249232 69807768 70913877 75625082 76690224 77905386 81785184 83081076 93077024 94551836 95883552 103873848 104711652 110774768 112530002 113437623 122677776 124621614 138498464 139615536 141827754 151250164 153380448 155810772 166162152 168795003 189103672 192100033 207747696 209423304 212741631 221549536 225060004 226875246 245355552 249243228 279231072 283655508 302500328 307293467 311621544 332324304 337590006 340312869 378207344 384200066 415495392 418846608 425483262 450120008 453750492 491563033 498486456 506385009 567311016 576300099 605000656 614586934 623243088 664648608 675180012 680625738 756414688 768400132 837693216 850966524 900240016 907500984 921880401 983126066 996972912 1012770018 1134622032 1152600198 1210001312 1229173868 1246486176 1350360024 1361251476 1474689099 1536800264 1678295089 1701933048 1728900297 1800480032 1815001968 1843760802 1966252132 1993945824 2025540036 2269244064 2305200396 2458347736 2497300429 2700720048 2722502952 2765641203 2949378198 3073600528 3356590178 3403866096 3457800594 3630003936 3687521604 3932504264 3994815071 4051080072 4424067297 4610400792 4916695472 4994600858 5034885267 5401440096 5445005904 5531282406 5898756396 6147201056 6713180356 6807732192 6915601188 7375043208 7491901287 7865008528 7989630142 8102160144 8848134594 9220801584 9833390944 9989201716 10069770534 10890011808 11062564812 11797512792 11984445213 13426360712 13639102343 13831202376 14750086416 14983802574 15104655801 15730017056 15979260284 16204320288 17696269188 18441603168 19978403432 20139541068 21817836157 22125129624 22475703861 23595025584 23968890426 26852721424 27278204686 27662404752 29500172832 29967605148 30209311602 31958520568 32464905577 35392538376 35953335639 39956806864 40279082136 40917307029 43635672314 44250259248 44951407722 47190051168 47937780852 53705442848 54556409372 55324809504 59935210296 60418623204 63917041136 64929811154 65453508471 70785076752 71906671278 79913613728 80558164272 81834614058 87271344628 88500518496 89902815444 95875561704 97394716731 109112818744 119870420592 120837246408 122751921087 127834082272 129859622308 130907016942 141570153504 143813342556 161116328544 163669228116 174542689256 177308330459 179805630888 191751123408 194789433462 196360525413 218225637488 239740841184 241674492816 245503842174 259719244616 261814033884 283631870041 287626685112 292184150193 327338456232 349085378512 354616660918 359611261776 383502246816 389578866924 392721050826 436451274976 483348985632 491007684348 519438489232 523628067768 531924991377 567263740082 575253370224 584368300386 654676912464 698170757024 709233321836 719222523552 779157733848 785442101652 850895610123 968376266353 982015368696 1038876978464 1047256135536 1063849982754 1134527480164 1150506740448 1168736600772 1309353824928 1418466643672 1558315467696 1570884203304 1595774974131 1701791220246 1936752532706 1964030737392 2094512271072 2127699965508 2269054960328 2305008295967 2337473201544 2552686830369 2836933287344 2905128799059 3116630935392 3141768406608 3191549948262 3403582440492 3873505065412 3928061474784 4255399931016 4538109920656 4610016591934 4674946403088 5105373660738 5673866574688 5810257598118 6283536813216 6383099896524 6807164880984 6915024887901 7747010130824 8510799862032 8715386397177 9076219841312 9220033183868 9349892806176 10210747321476 11620515196236 12588891462589 12766199793048 13614329761968 13830049775802 15494020261648 17021599724064 17430772794354 18440066367736 20421494642952 20745074663703 23241030392472 25177782925178 25532399586096 27228659523936 27660099551604 30988040523296 34861545588708 36880132735472 37766674387767 40842989285904 41490149327406 46482060784944 50355565850356 51064799172192 55320199103208 69723091177416 73760265470944 75533348775534 81685978571808 82980298654812 92964121569888 100711131700712 110640398206416 113300023163301 139446182354832 151066697551068 163655589013657 165960597309624 201422263401424 221280796412832 226600046326602 278892364709664 302133395102136 327311178027314 331921194619248 402844526802848 453200092653204 490966767040971 604266790204272 654622356054628 663842389238496 906400185306408 981933534081942 1208533580408544 1309244712109256 1472900301122913 1812800370612816 1963867068163884 2618489424218512 2945800602245826 3625600741225632 3927734136327768 5236978848437024 5891601204491652 7855468272655536 11783202408983304 15710936545311072 23566404817966608 47132809635933216
• Sum of all divisors σ(n): 147465882242127540
• Sum of proper divisors (its aliquot sum) s(n): 100333072606194324
• 47132809635933216 is an abundant number, because the sum of its proper divisors (100333072606194324) is greater than itself. Its abundance is 53200262970261108

Bases of 47132809635933216

• Binary: 10100111011100110000101001100111100111011010110000100000₂
• Hexadecimal: 0xA7730A679DAC20
• Base-36: CW36PTW5HK0

Squares and roots of 47132809635933216

• 47132809635933216 squared (47132809635933216²) is 2221501744177119017378543212102656
• 47132809635933216 cubed (47132809635933216³) is 104705618814193761340535128250577847908116152221696
• The square root of 47132809635933216 is 217100920.3940260037
• The cube root of 47132809635933216 is 361222.2081124587

Scales and comparisons

• 47,132,809,635,933,216 seconds is equal to 1,498,677,555 years, 3 weeks, 4 days, 12 hours, 33 minutes, 36 seconds.
• To count from 1 to 47,132,809,635,933,216 would take you about four billion, four hundred ninety-six million, thirty-two thousand, six hundred sixty-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 47132809635933216 cubic inches would be around 30101.9 feet tall.

Recreational maths with 47132809635933216

• 47132809635933216 backwards is 61233953690823174
• 47132809635933216 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 47132809635933216's digits is 72
• More coming soon!