3973113010048
3,973,113,010,048 is an even composite number composed of seven prime numbers multiplied together.
3973113010048 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 3973113010048:
27 × 7 × 13 × 312 × 37 × 53 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 31 × 31 × 37 × 53 × 181)See below for interesting mathematical facts about the number 3973113010048 from the Numbermatics database.
Names of 3973113010048
- Cardinal: 3973113010048 can be written as Three trillion, nine hundred seventy-three billion, one hundred thirteen million, ten thousand and forty-eight.
Scientific notation
- Scientific notation: 3.973113010048 × 1012
Factors of 3973113010048
Divisors of 3973113010048
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 31 32 37 52 53 56 62 64 74 91 104 106 112 124 128 148 181 182 208 212 217 224 248 259 296 362 364 371 403 416 424 434 448 481 496 518 592 689 724 728 742 806 832 848 868 896 961 962 992 1036 1147 1184 1267 1378 1448 1456 1484 1612 1643 1664 1696 1736 1922 1924 1961 1984 2072 2294 2353 2368 2534 2756 2821 2896 2912 2968 3224 3286 3367 3392 3472 3844 3848 3922 3968 4144 4588 4706 4736 4823 5068 5512 5611 5642 5792 5824 5936 6448 6572 6697 6727 6734 6784 6944 7688 7696 7844 8029 8288 9176 9412 9593 9646 10136 11024 11222 11284 11501 11584 11648 11872 12493 12896 13144 13394 13454 13468 13727 13888 14911 15376 15392 15688 16058 16471 16576 18352 18824 19186 19292 20272 21359 22048 22444 22568 23002 23168 23744 24986 25493 25792 26288 26788 26908 26936 27454 27776 29822 30752 30784 31376 32116 32942 33152 35557 36704 37648 38372 38584 39277 40544 42718 44096 44888 45136 46004 46879 47488 49972 50933 50986 51584 52576 53576 53816 53872 54908 59644 60791 61504 61568 62752 64232 65884 67151 71114 72943 73408 75296 76744 77168 78554 81088 85436 87061 87451 88192 89776 90272 92008 93758 99944 101866 101972 104377 105152 107152 107632 107744 109816 119288 121582 123008 124709 125504 128464 131768 134302 142228 145886 146816 149513 150592 153488 154336 157108 162176 170872 173941 174122 174902 178451 179552 180544 184016 187516 199888 203732 203944 207607 208754 210304 214304 215264 215488 219632 238576 243164 248899 249418 251008 256928 263536 268604 284456 291772 297383 299026 301184 306976 308672 314216 341744 347882 348244 349804 354941 356531 356902 359104 361088 368032 375032 399776 407464 407888 415214 417508 425537 428608 430528 430976 439264 462241 477152 486328 497798 498836 510601 513856 527072 537208 568912 583544 594766 598052 609427 613952 617344 628432 662129 683488 695764 696488 699608 709882 713062 713804 718208 736064 750064 790283 799552 814928 815776 830428 835016 851074 857216 861056 872963 878528 924482 954304 972656 995596 997672 1021202 1027712 1054144 1074416 1137824 1167088 1189532 1196104 1217587 1218854 1227904 1256864 1324258 1366976 1391528 1392976 1399216 1419764 1426124 1427608 1453249 1472128 1500128 1580566 1599104 1629856 1631552 1660856 1670032 1702148 1745926 1757056 1848964 1884521 1908608 1945312 1991192 1995344 2042404 2081681 2108288 2148832 2261233 2275648 2334176 2379064 2392208 2435174 2437708 2484587 2513728 2648516 2698891 2733952 2783056 2785952 2798432 2839528 2852248 2855216 2906498 3000256 3161132 3235687 3259712 3263104 3321712 3340064 3404296 3491852 3697928 3769042 3865979 3890624 3982384 3990688 4084808 4163362 4297664 4522466 4551296 4614233 4634903 4668352 4758128 4784416 4870348 4875416 4969174 5027456 5297032 5397782 5531981 5566112 5571904 5596864 5679056 5704496 5710432 5812996 6000512 6322264 6435817 6471374 6519424 6643424 6680128 6808592 6983704 7395856 7538084 7731958 7781248 7964768 7981376 8169616 8326724 8595328 9044932 9218873 9228466 9269806 9336704 9516256 9568832 9740696 9750832 9938348 10594064 10795564 11003171 11063962 11132224 11143808 11193728 11358112 11408992 11420864 11625992 12644528 12871634 12942748 13191647 13286848 13360256 13617184 13967408 14791712 15076168 15463916 15828631 15929536 15962752 16339232 16653448 18089864 18437746 18456932 18539612 18892237 19032512 19137664 19481392 19501664 19876696 21188128 21591128 22006342 22127924 22264448 22716224 22817984 22841728 23251984 24498773 25289056 25743268 25885496 26383294 26573696 27061853 27234368 27934816 29583424 30152336 30927832 31657262 31859072 32299631 32678464 33306896 36179728 36875492 36913864 37079224 37784474 38065024 38962784 39003328 39753392 42376256 43182256 44012684 44255848 45050719 45432448 45635968 46503968 48997546 50578112 51486536 51770992 52766588 54123706 54468736 55869632 59166848 60304672 61855664 63314524 64532111 64599262 65356928 66613792 72359456 73750984 73827728 74158448 75568948 77022197 77925568 78006656 79506784 83665621 84752512 86364512 88025368 88511696 90101438 93007936 97995092 101156224 102973072 103541984 105533176 108247412 111739264 119845349 120609344 123711328 126629048 129064222 129198524 133227584 143041223 144718912 147501968 147655456 148316896 151137896 154044394 155851136 159013568 167331242 171491411 172729024 176050736 177023392 180202876 186015872 195990184 205946144 207083968 211066352 216494824 239690698 241218688 247422656 253258096 258128444 258397048 266455168 286082446 289437824 295003936 295310912 296633792 302275792 308088788 318027136 334662484 341098301 342982822 345458048 352101472 354046784 360405752 391980368 411892288 414167936 422132704 432989648 479381396 494845312 506516192 516256888 516794096 572164892 585659347 590007872 590621824 593267584 604551584 616177576 669324968 682196602 685965644 704202944 708093568 720811504 783960736 823784576 838917443 844265408 865979296 958762792 1001288561 1013032384 1032513776 1033588192 1144329784 1171318694 1180015744 1209103168 1232355152 1338649936 1364393204 1371931288 1408405888 1441623008 1567921472 1677834886 1688530816 1731958592 1917525584 2002577122 2026064768 2065027552 2067176384 2288659568 2342637388 2387688107 2418206336 2464710304 2677299872 2728786408 2743862576 2883246016 3135842944 3355669772 3463917184 3835051168 4005154244 4130055104 4134352768 4434277913 4577319136 4685274776 4775376214 4929420608 5354599744 5457572816 5487725152 5766492032 6711339544 7670102336 8010308488 8260110208 8868555826 9154638272 9370549552 9550752428 9858841216 10709199488 10915145632 10975450304 13422679088 15340204672 16020616976 17737111652 18309276544 18741099104 19101504856 21830291264 21950900608 26845358176 31039945391 32041233952 35474223304 37482198208 38203009712 43660582528 53690716352 62079890782 64082467904 70948446608 74964396416 76406019424 107381432704 124159781564 128164935808 141896893216 152812038848 248319563128 283793786432 305624077696 496639126256 567587572864 993278252512 1986556505024 3973113010048
- Sum of all divisors σ(n): 10591468917120
- Sum of proper divisors (its aliquot sum) s(n): 6618355907072
- 3973113010048 is an abundant number, because the sum of its proper divisors (6618355907072) is greater than itself. Its abundance is 2645242897024
Bases of 3973113010048
- Binary: 1110011101000011111111110101010111100000002
- Hexadecimal: 0x39D0FFD5780
- Base-36: 1EP80WIV4
Squares and roots of 3973113010048
- 3973113010048 squared (39731130100482) is 15785626990612678948962304
- 3973113010048 cubed (39731130100483) is 62718079968168092698624664611525230592
-
The
square root of 3973113010048 is 1993266.9189167817 -
The
cube root of 3973113010048 is 15838.3634997751
Scales and comparisons
How big is 3973113010048?- 3,973,113,010,048 seconds is equal to 126,332 years, 36 weeks, 4 days, 6 hours, 47 minutes, 28 seconds.
-
To count from 1 to 3,973,113,010,048 would take you about three hundred fifteen thousand, eight hundred thirty-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 3973113010048 cubic inches would be around 1319.9 feet tall.
Recreational maths with 3973113010048
- 3973113010048 backwards is 8400103113793
- The number of decimal digits it has is: 13
- The sum of 3973113010048's digits is 40
- More coming soon!
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