47938484205216

Names of 47938484205216

• Cardinal: 47938484205216 can be written as Forty-seven trillion, nine hundred thirty-eight billion, four hundred eighty-four million, two hundred five thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 4.7938484205216 × 10¹³

Factors of 47938484205216

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 202

Divisors of 47938484205216

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 32 33 36 38 44 48 54 57 66 72 76 81 88 96 99 108 114 132 144 152 162 167 171 176 198 209 216 228 264 288 297 304 324 334 342 352 361 396 418 432 456 501 513 528 594 608 627 648 668 684 722 792 836 864 891 912 1002 1026 1056 1083 1188 1254 1296 1336 1368 1444 1503 1539 1584 1672 1782 1824 1837 1881 2004 2052 2166 2376 2508 2592 2672 2736 2888 3006 3078 3168 3173 3249 3344 3564 3674 3762 3971 4008 4104 4332 4509 4752 5016 5344 5472 5511 5643 5776 6012 6156 6346 6498 6688 7128 7348 7524 7942 8016 8208 8664 9018 9504 9519 9747 10032 11022 11286 11552 11913 12024 12312 12692 12996 13527 14256 14696 15048 15884 16032 16416 16533 16929 17328 18036 19038 19494 20064 22044 22572 23826 24048 24624 25384 25992 27054 27889 28512 28557 29241 29392 30096 31768 33066 33858 34656 34903 35739 36072 38076 38988 44088 45144 47652 48096 49248 49599 50768 51984 54108 55778 57114 58482 58784 60192 60287 63536 66132 67716 69806 71478 72144 76152 77976 83667 85671 88176 90288 95304 99198 101536 103968 104709 107217 108216 111556 114228 116964 120574 127072 132264 135432 139612 142956 144288 148797 152304 155952 167334 171342 176352 180576 180861 190608 198396 209418 214434 216432 223112 228456 233928 241148 251001 257013 264528 270864 279224 285912 297594 304608 306779 311904 314127 321651 334668 342684 361722 381216 396792 418836 428868 432864 446224 456912 467856 482296 502002 514026 529056 529891 541728 542583 558448 571824 595188 613558 628254 643302 663157 669336 685368 723444 753003 793584 837672 857736 892448 913824 920337 935712 942381 964592 1004004 1028052 1059782 1085166 1116896 1143648 1190376 1227116 1256508 1286604 1326314 1338672 1370736 1446888 1506006 1587168 1589673 1627749 1675344 1715472 1840674 1884762 1929184 1989471 2008008 2056104 2119564 2170332 2259009 2380752 2454232 2513016 2573208 2652628 2677344 2741472 2761011 2827143 2893776 3012012 3179346 3255498 3350688 3430944 3681348 3769524 3978942 4016016 4112208 4239128 4340664 4518018 4657463 4761504 4769019 4883247 4908464 5026032 5146416 5305256 5522022 5654286 5787552 5828801 5968413 6024024 6358692 6510996 7362696 7539048 7957884 8032032 8224416 8283033 8478256 8681328 9036036 9314926 9538038 9766494 9816928 10052064 10067929 10292832 10610512 11044044 11308572 11657602 11936826 12048048 12717384 13021992 13972389 14307057 14725392 15078096 15915768 16566066 16956512 17362656 17486403 17905239 18072072 18629852 19076076 19532988 20135858 21221024 22088088 22617144 23315204 23873652 24096096 24849099 25434768 26043984 27944778 28614114 29450784 30156192 30203787 31831536 33132132 34972806 35810478 36144144 37259704 38152152 39065976 40271716 41917167 42921171 44176176 45234288 46630408 47747304 49698198 50869536 51232093 52087968 52459209 53715717 55889556 57228228 60407574 63663072 66264264 69945612 71620956 72288288 74519408 76304304 78131952 80543432 83834334 85842342 88352352 88491797 90468576 90611361 93260816 95494608 99396396 102464186 104918418 107431434 110747219 111779112 114456456 120815148 125751501 132528528 139891224 143241912 149038816 152608608 153696279 156263904 157377627 161086864 167668668 171684684 176983594 181222722 186521632 190989216 198792792 204928372 209836836 214862868 221494438 223558224 228912912 241630296 251503002 265057056 265475391 271834083 279782448 286483824 307392558 314755254 322173728 332241657 335337336 343369368 353967188 362445444 377254503 397585584 409856744 419673672 429725736 442988876 447116448 457825824 461088837 472132881 483260592 503006004 530950782 543668166 559564896 572967648 614785116 629510508 664483314 670674672 686738736 707934376 724890888 754509006 795171168 796426173 815502249 819713488 839347344 859451472 885977752 922177674 944265762 966521184 973409767 996724971 1006012008 1061901564 1087336332 1229570232 1259021016 1328966628 1341349344 1373477472 1383266511 1415868752 1449781776 1509018012 1592852346 1631004498 1639426976 1678694688 1681344143 1718902944 1771955504 1844355348 1888531524 1946819534 1993449942 2012024016 2123803128 2174672664 2389278519 2459140464 2518042032 2657933256 2766533022 2831737504 2899563552 2920229301 2990174913 3018036024 3185704692 3262008996 3362688286 3543911008 3688710696 3777063048 3893639068 3986899884 4024048032 4149799533 4247606256 4349345328 4778557038 4918280928 5036084064 5044032429 5315866512 5533066044 5840458602 5980349826 6036072048 6371409384 6524017992 6725376572 7167835557 7377421392 7554126096 7787278136 7973799768 8299599066 8495212512 8698690656 8760687903 8970524739 9557114076 10088064858 10631733024 11066132088 11680917204 11960699652 12072144096 12742818768 13048035984 13450753144 14335671114 14754842784 15108252192 15132097287 15574556272 15947599536 16599198132 17521375806 17941049478 18494785573 19114228152 20176129716 22132264176 23361834408 23921399304 25485637536 26096071968 26282063709 26901506288 28671342228 30264194574 31149112544 31895199072 33198396264 35042751612 35882098956 36989571146 38228456304 40352259432 44264528352 45396291861 46723668816 47842798608 52564127418 53803012576 55484356719 57342684456 60528389148 66396792528 70085503224 71764197912 73979142292 76456912608 78846191127 80704518864 90792583722 93447337632 95685597216 105128254836 110968713438 114685368912 121056778296 132793585056 136188875583 140171006448 143528395824 147958284584 157692382254 161409037728 166453070157 181585167444 210256509672 221937426876 229370737824 242113556592 272377751166 280342012896 287056791648 295916569168 315384764508 332906140314 363170334888 420513019344 443874853752 484227113184 499359210471 544755502332 591833138336 630769529016 665812280628 726340669776 841026038688 887749707504 998718420942 1089511004664 1261539058032 1331624561256 1452681339552 1498077631413 1775499415008 1997436841884 2179022009328 2523078116064 2663249122512 2996155262826 3994873683768 4358044018656 5326498245024 5992310525652 7989747367536 11984621051304 15979494735072 23969242102608 47938484205216
• Sum of all divisors σ(n): 163301411085120
• Sum of proper divisors (its aliquot sum) s(n): 115362926879904
• 47938484205216 is an abundant number, because the sum of its proper divisors (115362926879904) is greater than itself. Its abundance is 67424442674688

Bases of 47938484205216

• Binary: 1010111001100110001100010100100111011010100000₂
• Hexadecimal: 0x2B998C5276A0
• Base-36: GZQMVRE00

Squares and roots of 47938484205216

• 47938484205216 squared (47938484205216²) is 2298098267893743907201606656
• 47938484205216 cubed (47938484205216³) is 110167347517458490139564255113234415517696
• The square root of 47938484205216 is 6923762.2868795835
• The cube root of 47938484205216 is 36326.8799949981

Scales and comparisons

• 47,938,484,205,216 seconds is equal to 1,524,295 years, 26 weeks, 5 days, 4 hours, 33 minutes, 36 seconds.
• To count from 1 to 47,938,484,205,216 would take you about three million, eight hundred ten thousand, seven hundred thirty-eight 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 47938484205216 cubic inches would be around 3027.2 feet tall.

Recreational maths with 47938484205216

• 47938484205216 backwards is 61250248483974
• The number of decimal digits it has is: 14
• The sum of 47938484205216's digits is 63
• More coming soon!