1638993427344

Names of 1638993427344

• Cardinal: 1638993427344 can be written as One trillion, six hundred thirty-eight billion, nine hundred ninety-three million, four hundred twenty-seven thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 1.638993427344 × 10¹²

Factors of 1638993427344

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 113

Divisors of 1638993427344

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 29 36 39 42 48 49 52 54 56 58 59 63 72 78 84 87 91 98 104 108 112 116 117 118 126 144 147 156 168 174 177 182 189 196 203 208 216 232 234 236 252 261 273 294 312 336 348 351 354 364 377 378 392 406 413 432 441 464 468 472 504 522 531 546 588 609 624 637 696 702 708 728 754 756 767 783 784 812 819 826 882 936 944 1008 1044 1062 1092 1131 1176 1218 1239 1274 1323 1392 1404 1416 1421 1456 1508 1512 1534 1566 1593 1624 1638 1652 1711 1764 1827 1872 1911 2088 2124 2184 2262 2301 2352 2436 2457 2478 2548 2639 2646 2808 2832 2842 2891 3016 3024 3068 3132 3186 3248 3276 3304 3393 3422 3481 3528 3654 3717 3822 4176 4248 4263 4368 4524 4602 4872 4914 4956 5096 5133 5278 5292 5369 5481 5616 5684 5733 5782 6032 6136 6264 6372 6552 6608 6786 6844 6903 6962 7056 7308 7434 7644 7917 8496 8526 8673 9048 9204 9744 9828 9912 10179 10192 10266 10443 10556 10584 10738 10962 11151 11368 11466 11564 11977 12272 12528 12744 12789 13104 13572 13688 13806 13924 14616 14868 15288 15399 15834 16107 17052 17199 17346 18096 18408 18473 19656 19824 20358 20532 20709 20886 21112 21168 21476 21924 22243 22302 22736 22932 23128 23751 23954 24367 25488 25578 26019 27144 27376 27612 27848 29232 29736 30576 30798 31329 31668 32214 34104 34398 34692 35931 36816 36946 37583 38367 39312 40716 41064 41418 41772 42224 42952 43848 44486 44604 45253 45864 46197 46256 47502 47908 48321 48734 51156 52038 54288 55224 55419 55696 59472 61596 62658 63336 64428 66729 68208 68796 69384 71253 71862 73101 73892 75166 76734 78057 81432 82128 82836 83544 83839 85904 87696 88972 89208 90506 91728 92394 93987 95004 95816 96642 97468 100949 102312 104076 107793 110448 110838 112749 123192 125316 126672 128856 133458 135759 137592 138768 142506 143724 144963 146202 147784 150332 153468 155701 156114 162864 165672 166257 167088 167678 170569 177944 178416 181012 184788 187974 190008 191632 193284 194936 200187 201898 204624 205379 208152 215586 219303 221676 225498 246384 250632 251517 257712 266916 271518 275184 285012 287448 289926 292404 295568 300664 302847 306936 311402 312228 316771 323379 331344 332514 335356 338247 341138 355888 362024 369576 375948 380016 386568 389872 400374 403796 407277 410758 416304 431172 438606 443352 450996 467103 498771 501264 503034 511707 533832 543036 570024 574896 579852 584808 600561 601328 605694 613872 616137 622804 624456 633542 646758 657909 665028 670712 676494 682276 706643 724048 739152 751896 754551 773136 800748 807592 814554 821516 862344 877212 886704 901992 908541 934206 950313 997542 1006068 1014741 1023414 1067664 1086072 1089907 1140048 1159704 1169616 1201122 1211388 1221831 1232274 1245608 1248912 1267084 1293516 1312337 1315818 1330056 1341424 1352988 1364552 1401309 1413286 1437653 1503792 1509102 1535121 1601496 1615184 1629108 1643032 1724688 1754424 1803984 1817082 1848411 1868412 1900626 1995084 2012136 2029482 2046828 2119929 2172144 2179814 2217397 2263653 2319408 2402244 2422776 2443662 2464548 2491216 2534168 2587032 2624674 2631636 2660112 2669927 2705976 2725623 2729104 2802618 2826572 2850939 2875306 3018204 3070242 3202992 3258216 3269721 3286064 3508848 3634164 3696822 3736824 3801252 3937011 3990168 4024272 4058964 4093656 4203927 4239858 4312959 4359628 4434794 4527306 4605363 4804488 4845552 4887324 4929096 4946501 5068336 5174064 5249348 5263272 5339854 5411952 5451246 5545233 5605236 5653144 5701878 5750612 5955991 6036408 6140484 6359787 6516432 6539442 6652191 7268328 7393644 7473648 7602504 7874022 7980336 8009781 8117928 8187312 8407854 8479716 8552817 8625918 8719256 8869588 9054612 9186359 9210726 9608976 9774648 9809163 9858192 9893002 10063571 10498696 10526544 10679708 10902492 11090466 11210472 11306288 11403756 11501224 11811033 11911982 12072816 12280968 12719574 12938877 13078884 13304382 14536656 14787288 14839503 15205008 15748044 16019562 16235856 16815708 16959432 17105634 17251836 17438512 17739176 17867973 18109224 18372718 18421452 18689489 19079361 19549296 19618326 19786004 19956573 20127142 20997392 21359416 21804984 22180932 22420944 22807512 23002448 23622066 23823964 24029343 24561936 25439148 25877754 26157768 26608764 27559077 29427489 29574576 29679006 30190713 31496088 32039124 33631416 33918864 34211268 34503672 35433099 35478352 35735946 36218448 36745436 36842904 37378978 38158722 38816631 39236652 39572008 39913146 40254284 41691937 42718832 43609968 44361864 44518509 45615024 47244132 47647928 48058686 50878296 51755508 52315536 53217528 53603919 55118154 56068467 58854978 59358012 59869719 60381426 62992176 64078248 64304513 67262832 68422536 69007344 70866198 71471892 72088029 73490872 73685808 74757956 76317444 77427883 77633262 78473304 79144016 79826292 80508568 82677231 83383874 88723728 89037018 90572139 94488264 95295856 96117372 101756592 103511016 106435056 107207838 110236308 112136934 117709956 118716024 119739438 120762852 125075811 128156496 128609026 130826423 133555527 136845072 141732396 142943784 144176058 146981744 149515912 152634888 154855766 155266524 156946608 159652584 160811757 161017136 165354462 166767748 168205401 178074036 181144278 188976528 192234744 192913539 207022032 214415676 220472616 224273868 232283649 235419912 237432048 239478876 241525704 248031693 250151622 257218052 261652846 267111054 271716417 283464792 285887568 288352116 291843559 299031824 305269776 309711532 310533048 319305168 321623514 330708924 333535496 336410802 356148072 362288556 375227433 384469488 385827078 392479269 428831352 440945232 448547736 464567298 470839824 478957752 483051408 496063386 500303244 504616203 514436104 523305692 534222108 541995181 543432834 566929584 576704232 578740617 583687118 619423064 621066096 643247028 661417848 667070992 672821604 696850947 712296144 724577112 750454866 771654156 784958538 857662704 875530677 897095472 929134596 957915504 992126772 1000606488 1009232406 1028872208 1046611384 1068444216 1083990362 1086865668 1125682299 1153408464 1157481234 1167374236 1177437807 1238846128 1286494056 1322835696 1345643208 1393701894 1449154224 1500909732 1543308312 1569917076 1625985543 1736221851 1751061354 1858269192 1984253544 2001212976 2018464812 2090552841 2093222768 2136888432 2167980724 2173731336 2251364598 2314962468 2334748472 2354875614 2572988112 2626592031 2691286416 2787403788 3001819464 3086616624 3139834152 3251971086 3472443702 3502122708 3532313421 3716538384 3793966267 3968507088 4036929624 4181105682 4335961448 4347462672 4502729196 4629924936 4669496944 4709751228 4877956629 5253184062 5574807576 6003638928 6279668304 6503942172 6944887404 7004245416 7064626842 7587932534 7879776093 8073859248 8362211364 8671922896 9005458392 9259849872 9419502456 9755913258 10506368124 11149615152 11381898801 13007884344 13889774808 14008490832 14129253684 14633869887 15175865068 15759552186 16724422728 18010916784 18839004912 19511826516 21012736248 22763797602 26015768688 27779549616 28258507368 29267739774 30351730136 31519104372 33448845456 34145696403 39023653032 42025472496 45527595204 56517014736 58535479548 60703460272 63038208744 68291392806 78047306064 91055190408 102437089209 117070959096 126076417488 136582785612 182110380816 204874178418 234141918192 273165571224 409748356836 546331142448 819496713672 1638993427344
• Sum of all divisors σ(n): 6201915552000
• Sum of proper divisors (its aliquot sum) s(n): 4562922124656
• 1638993427344 is an abundant number, because the sum of its proper divisors (4562922124656) is greater than itself. Its abundance is 2923928697312

Bases of 1638993427344

• Binary: 10111110110011011100111101111101110010000₂
• Hexadecimal: 0x17D9B9EFB90
• Base-36: KWXYDAC0

Squares and roots of 1638993427344

• 1638993427344 squared (1638993427344²) is 2686299454876831806894336
• 1638993427344 cubed (1638993427344³) is 4402827150420897438561980129101123584
• The square root of 1638993427344 is 1280231.7865699165
• The cube root of 1638993427344 is 11790.3239344077

Scales and comparisons

• 1,638,993,427,344 seconds is equal to 52,114 years, 47 weeks, 6 days, 8 hours, 2 minutes, 24 seconds.
• To count from 1 to 1,638,993,427,344 would take you about one hundred thirty thousand, two hundred eighty-seven 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 1638993427344 cubic inches would be around 982.5 feet tall.

Recreational maths with 1638993427344

• 1638993427344 backwards is 4437243998361
• 1638993427344 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 1638993427344's digits is 63
• More coming soon!