47971148120064

Names of 47971148120064

• Cardinal: 47971148120064 can be written as Forty-seven trillion, nine hundred seventy-one billion, one hundred forty-eight million, one hundred twenty thousand and sixty-four.

Scientific notation

• Scientific notation: 4.7971148120064 × 10¹³

Factors of 47971148120064

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 16471

Divisors of 47971148120064

• Number of divisors d(n): 600
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 169 192 208 216 234 256 288 312 324 338 351 384 416 432 468 507 512 576 624 648 676 702 768 832 864 936 1014 1024 1053 1152 1248 1296 1352 1404 1521 1536 1664 1728 1872 2028 2048 2106 2197 2304 2496 2592 2704 2808 3042 3072 3328 3456 3744 4056 4096 4212 4394 4563 4608 4992 5184 5408 5616 6084 6144 6591 6656 6912 7488 8112 8192 8424 8788 9126 9216 9984 10368 10816 11232 12168 12288 13182 13312 13689 13824 14976 16224 16384 16453 16848 17576 18252 18432 19773 19968 20736 21632 22464 24336 24576 26364 26624 27378 27648 29952 32448 32906 33696 35152 36504 36864 39546 39936 41472 43264 44928 48672 49152 49359 52728 53248 54756 55296 59319 59904 64896 65812 67392 70304 73008 73728 79092 79872 82944 86528 89856 97344 98718 105456 106496 109512 110592 118638 119808 129792 131624 134784 140608 146016 147456 148077 158184 159744 165888 173056 177957 179712 194688 197436 210912 212992 213889 219024 221184 237276 239616 259584 263248 269568 281216 292032 296154 316368 319488 331776 346112 355914 359424 389376 394872 421824 427778 438048 442368 444231 474552 479232 519168 526496 539136 562432 584064 592308 632736 638976 641667 663552 692224 711828 718848 778752 789744 843648 855556 876096 888462 949104 958464 1038336 1052992 1078272 1124864 1168128 1184616 1265472 1283334 1327104 1332693 1384448 1423656 1437696 1557504 1579488 1687296 1711112 1752192 1776924 1898208 1916928 1925001 2076672 2105984 2156544 2249728 2336256 2369232 2530944 2566668 2665386 2768896 2780557 2847312 2875392 3115008 3158976 3374592 3422224 3504384 3553848 3796416 3850002 4153344 4211968 4313088 4499456 4672512 4738464 5061888 5133336 5330772 5561114 5694624 5750784 5775003 6230016 6317952 6749184 6844448 7008768 7107696 7592832 7700004 8306688 8341671 8423936 8626176 8998912 9345024 9476928 10123776 10266672 10661544 11122228 11389248 11550006 12460032 12635904 13498368 13688896 14017536 14215392 15185664 15400008 16683342 16847872 17252352 17325009 17997824 18690048 18953856 20247552 20533344 21323088 22244456 22778496 23100012 24920064 25025013 25271808 26996736 27377792 28035072 28430784 30371328 30800016 33366684 33695744 34650018 35995648 36147241 37380096 37907712 40495104 41066688 42646176 44488912 45556992 46200024 50050026 50543616 53993472 54755584 56070144 56861568 60742656 61600032 66733368 67391488 69300036 72294482 74760192 75075039 75815424 80990208 82133376 85292352 88977824 91113984 92400048 100100052 101087232 107986944 108441723 109511168 112140288 113723136 121485312 123200064 133466736 134782976 138600072 144588964 150150078 151630848 161980416 164266752 170584704 177955648 182227968 184800096 200200104 202174464 216883446 219022336 224280576 225225117 227446272 242970624 246400128 266933472 269565952 277200144 289177928 300300156 303261696 323960832 325325169 328533504 341169408 355911296 364455936 369600192 400400208 404348928 433766892 438044672 450450234 454892544 485941248 492800256 533866944 554400288 578355856 600600312 606523392 650650338 657067008 682338816 711822592 728911872 739200384 800800416 808697856 867533784 876089344 900900468 909785088 971882496 975975507 985600512 1067733888 1108800576 1156711712 1201200624 1213046784 1301300676 1314134016 1364677632 1423645184 1457823744 1478400768 1601600832 1735067568 1752178688 1801800936 1819570176 1951951014 1971201024 2135467776 2217601152 2313423424 2402401248 2426093568 2602601352 2628268032 2729355264 2847290368 2915647488 2927926521 2956801536 3203201664 3470135136 3504357376 3603601872 3639140352 3903902028 3942402048 4270935552 4435202304 4626846848 4804802496 5205202704 5256536064 5458710528 5694580736 5855853042 5913603072 6406403328 6940270272 7207203744 7278280704 7807804056 7884804096 8541871104 8870404608 9253693696 9609604992 10410405408 10513072128 10917421056 11389161472 11711706084 11827206144 12812806656 13880540544 14414407488 15615608112 15769608192 17083742208 17740809216 18507387392 19219209984 20820810816 21834842112 22778322944 23423412168 23654412288 25625613312 27761081088 28828814976 31231216224 31539216384 34167484416 35481618432 37014774784 38438419968 41641621632 45556645888 46846824336 47308824576 51251226624 55522162176 57657629952 62462432448 68334968832 70963236864 74029549568 76876839936 83283243264 93693648672 94617649152 102502453248 111044324352 115315259904 124924864896 136669937664 141926473728 148059099136 153753679872 166566486528 187387297344 205004906496 222088648704 230630519808 249849729792 283852947456 296118198272 307507359744 333132973056 374774594688 410009812992 444177297408 461261039616 499699459584 592236396544 615014719488 666265946112 749549189376 888354594816 922522079232 999398919168 1230029438976 1332531892224 1499098378752 1776709189632 1845044158464 1998797838336 2665063784448 2998196757504 3690088316928 3997595676672 5330127568896 5996393515008 7995191353344 11992787030016 15990382706688 23985574060032 47971148120064
• Sum of all divisors σ(n): 155263903819640
• Sum of proper divisors (its aliquot sum) s(n): 107292755699576
• 47971148120064 is an abundant number, because the sum of its proper divisors (107292755699576) is greater than itself. Its abundance is 59321607579512

Bases of 47971148120064

• Binary: 1010111010000100100111001111100100000000000000₂
• Hexadecimal: 0x2BA1273E4000
• Base-36: H05N30G00

Squares and roots of 47971148120064

• 47971148120064 squared (47971148120064²) is 2301231051957119841359364096
• 47971148120064 cubed (47971148120064³) is 110392695651925690585766212868072898822144
• The square root of 47971148120064 is 6926120.7122070867
• The cube root of 47971148120064 is 36335.1288214983

Scales and comparisons

• 47,971,148,120,064 seconds is equal to 1,525,334 years, 6 weeks, 3 days, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 47,971,148,120,064 would take you about three million, eight hundred thirteen thousand, three hundred thirty-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 47971148120064 cubic inches would be around 3027.9 feet tall.

Recreational maths with 47971148120064

• 47971148120064 backwards is 46002184117974
• 47971148120064 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 47971148120064's digits is 54
• More coming soon!