48972709524096

Names of 48972709524096

• Cardinal: 48972709524096 can be written as Forty-eight trillion, nine hundred seventy-two billion, seven hundred nine million, five hundred twenty-four thousand and ninety-six.

Scientific notation

• Scientific notation: 4.8972709524096 × 10¹³

Factors of 48972709524096

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1294

Divisors of 48972709524096

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 41 48 54 57 64 72 76 82 96 108 114 123 128 144 152 164 171 192 216 228 246 288 304 328 342 361 369 384 432 456 492 513 576 608 656 684 722 738 779 864 912 984 1026 1083 1107 1152 1216 1229 1312 1368 1444 1476 1558 1681 1728 1824 1968 2052 2166 2214 2337 2432 2458 2624 2736 2888 2952 3116 3249 3362 3456 3648 3687 3936 4104 4332 4428 4674 4916 5043 5248 5472 5776 5904 6232 6498 6724 6859 7011 7296 7374 7872 8208 8664 8856 9348 9747 9832 10086 10944 11061 11552 11808 12464 12996 13448 13718 14022 14748 14801 15129 15744 16416 17328 17712 18696 19494 19664 20172 20577 21033 21888 22122 23104 23351 23616 24928 25992 26896 27436 28044 29496 29602 30258 31939 32832 33183 34656 35424 37392 38988 39328 40344 41154 42066 44244 44403 45387 46208 46702 47232 49856 50389 51984 53792 54872 56088 58992 59204 60516 61731 63878 65664 66366 69312 70053 70848 74784 77976 78656 80688 82308 84132 88488 88806 90774 93404 95817 99712 100778 103968 107584 109744 112176 117984 118408 121032 123462 127756 132732 133209 138624 140106 141696 149568 151167 155952 157312 161376 164616 168264 176976 177612 181548 185193 186808 191634 201556 207936 210159 215168 219488 224352 235968 236816 242064 246924 255512 265464 266418 280212 281219 287451 299136 302334 311904 322752 329232 336528 353952 355224 363096 370386 373616 383268 399627 403112 415872 420318 438976 443669 448704 453501 471936 473632 484128 493848 511024 530928 532836 560424 562438 574902 604668 606841 623808 630477 645504 658464 673056 707904 710448 726192 740772 747232 766536 799254 806224 840636 843657 862353 877952 887338 897408 907002 947264 957391 968256 987696 1022048 1061856 1065672 1120848 1124876 1149804 1209336 1213682 1247616 1260954 1316928 1331007 1346112 1360503 1415808 1420896 1452384 1481544 1494464 1533072 1598508 1612448 1681272 1687314 1724706 1774676 1814004 1820523 1894528 1914782 1936512 1975392 2044096 2065949 2123712 2131344 2241696 2249752 2299608 2418672 2427364 2521908 2530971 2633856 2662014 2692224 2721006 2841792 2872173 2904768 2963088 2988928 3066144 3197016 3224896 3362544 3374628 3449412 3549352 3628008 3641046 3829564 3950784 3993021 4088192 4131898 4247424 4262688 4483392 4499504 4599216 4837344 4854728 5043816 5061942 5324028 5442012 5461569 5683584 5744346 5809536 5926176 6132288 6197847 6394032 6449792 6725088 6749256 6898824 7098704 7256016 7282092 7592913 7659128 7901568 7986042 8263796 8429711 8525376 8616519 8966784 8999008 9198432 9674688 9709456 10087632 10123884 10648056 10884024 10923138 11488692 11529979 11852352 11979063 12264576 12395694 12788064 13450176 13498512 13797648 14197408 14512032 14564184 15185826 15318256 15972084 16384707 16527592 16859422 17050752 17233038 17998016 18190429 18396864 18593541 19349376 19418912 20175264 20247768 21296112 21768048 21846276 22977384 23059958 23704704 23958126 24791388 25289133 25576128 25849557 26900352 26997024 27595296 28394816 29024064 29128368 30371652 30636512 31944168 32769414 33055184 33718844 34466076 34589937 35996032 36380858 36793728 37187082 38837824 39253031 40350528 40495536 42592224 43536096 43692552 45954768 46119916 47916252 49582776 50578266 51152256 51699114 53994048 54571287 55190592 55780623 56789632 58048128 58256736 60743304 61273024 63888336 65538828 66110368 67437688 68932152 69179874 72761716 74374164 75867399 77675648 78506062 80701056 80991072 85184448 87072192 87385104 91909536 92239832 95832504 99165552 101156532 103398228 103769811 107988096 109142574 110381184 111561246 116513472 117759093 121486608 122546048 127776672 131077656 132220736 134875376 137864304 138359748 145523432 148748328 151734798 157012124 161982144 163713861 170368896 174144384 174770208 183819072 184479664 191665008 198331104 202313064 206796456 207539622 218285148 223122492 227602197 233026944 235518186 242973216 255553344 262155312 264441472 269750752 275728608 276719496 291046864 297496656 303469596 311309433 314024248 323964288 327427722 345618151 349540416 353277279 367638144 368959328 383330016 396662208 404626128 413592912 415079244 436570296 446244984 455204394 471036372 485946432 491141583 511106688 524310624 539501504 551457216 553438992 582093728 594993312 606939192 622618866 628048496 654855444 691236302 699080832 706554558 737918656 745807589 766660032 793324416 809252256 827185824 830158488 873140592 892489968 910408788 942072744 971892864 982283166 1036854453 1048621248 1059831837 1079003008 1102914432 1106877984 1164187456 1189986624 1213878384 1245237732 1256096992 1309710888 1382472604 1413109116 1475837312 1491615178 1533320064 1618504512 1654371648 1660316976 1746281184 1784979936 1820817576 1884145488 1964566332 2073708906 2097242496 2119663674 2213755968 2237422767 2328374912 2379973248 2427756768 2490475464 2512193984 2619421776 2764945208 2826218232 2983230356 3110563359 3237009024 3308743296 3320633952 3492562368 3569959872 3641635152 3768290976 3929132664 4147417812 4239327348 4427511936 4474845534 4855513536 4980950928 5024387968 5238843552 5529890416 5652436464 5966460712 6221126718 6641267904 6712268301 6985124736 7139919744 7283270304 7536581952 7858265328 8294835624 8478654696 8949691068 9331690077 9711027072 9961901856 10477687104 11059780832 11304872928 11932921424 12442253436 13282535808 13424536602 14170344191 14566540608 15073163904 15716530656 16589671248 16957309392 17899382136 18663380154 19923803712 20136804903 20955374208 22119561664 22609745856 23865842848 24884506872 26849073204 28340688382 29133081216 31433061312 33179342496 33914618784 35798764272 37326760308 39847607424 40273609806 42511032573 44239123328 45219491712 47731685696 49769013744 53698146408 56681376764 62866122624 66358684992 67829237568 71597528544 74653520616 80547219612 85022065146 95463371392 99538027488 107396292816 113362753528 127533097719 132717369984 135658475136 143195057088 149307041232 161094439224 170044130292 199076054976 214792585632 226725507056 255066195438 286390114176 298614082464 322188878448 340088260584 382599293157 398152109952 429585171264 453451014112 510132390876 597228164928 644377756896 680176521168 765198586314 859170342528 906902028224 1020264781752 1194456329856 1288755513792 1360353042336 1530397172628 1813804056448 2040529563504 2577511027584 2720706084672 3060794345256 4081059127008 5441412169344 6121588690512 8162118254016 12243177381024 16324236508032 24486354762048 48972709524096
• Sum of all divisors σ(n): 156505327920000
• Sum of proper divisors (its aliquot sum) s(n): 107532618395904
• 48972709524096 is an abundant number, because the sum of its proper divisors (107532618395904) is greater than itself. Its abundance is 58559908871808

Bases of 48972709524096

• Binary: 1011001000101001011000111101000111001010000000₂
• Hexadecimal: 0x2C8A58F47280
• Base-36: HCXR2T9C0

Squares and roots of 48972709524096

• 48972709524096 squared (48972709524096²) is 2398326278131483066804617216
• 48972709524096 cubed (48972709524096³) is 117452536162939393032647828155590808436736
• The square root of 48972709524096 is 6998050.4087992965
• The cube root of 48972709524096 is 36586.2623560269

Scales and comparisons

• 48,972,709,524,096 seconds is equal to 1,557,180 years, 35 weeks, 2 days, 15 hours, 21 minutes, 36 seconds.
• To count from 1 to 48,972,709,524,096 would take you about three million, eight hundred ninety-two thousand, nine hundred fifty-one 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 48972709524096 cubic inches would be around 3048.9 feet tall.

Recreational maths with 48972709524096

• 48972709524096 backwards is 69042590727984
• 48972709524096 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 48972709524096's digits is 72
• More coming soon!