46354809900672

Names of 46354809900672

• Cardinal: 46354809900672 can be written as Forty-six trillion, three hundred fifty-four billion, eight hundred nine million, nine hundred thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 4.6354809900672 × 10¹³

Factors of 46354809900672

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 42401

Divisors of 46354809900672

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 81 84 91 96 104 108 112 117 126 128 144 156 162 168 182 189 192 208 216 224 234 252 273 288 312 324 336 351 364 378 384 416 432 448 468 504 546 567 576 624 648 672 702 728 756 819 832 864 896 936 1008 1053 1092 1134 1152 1193 1248 1296 1344 1404 1456 1512 1638 1664 1728 1872 2016 2106 2184 2268 2386 2457 2496 2592 2688 2808 2912 3024 3276 3456 3579 3744 4032 4212 4368 4536 4772 4914 4992 5184 5616 5824 6048 6552 7158 7371 7488 8064 8351 8424 8736 9072 9544 9828 10368 10737 11232 11648 12096 13104 14316 14742 14976 15509 16702 16848 17472 18144 19088 19656 21474 22464 24192 25053 26208 28632 29484 31018 32211 33404 33696 34944 36288 38176 39312 41183 42948 44928 46527 50106 52416 57264 58968 62036 64422 66808 67392 72576 75159 76352 78624 82366 85896 93054 96633 100212 104832 108563 114528 117936 123549 124072 128844 133616 134784 139581 150318 152704 157248 164732 171792 186108 193266 200424 217126 225477 229056 235872 247098 248144 257688 267232 279162 288281 300636 314496 325689 329464 343584 370647 372216 386532 400848 418743 434252 450954 458112 471744 494196 496288 515376 534464 535379 558324 576562 601272 651378 658928 676431 687168 741294 744432 773064 801696 837486 864843 868504 901908 943488 977067 988392 992576 1030752 1068928 1070758 1111941 1116648 1153124 1202544 1256229 1302756 1317856 1352862 1374336 1482588 1488864 1546128 1603392 1606137 1674972 1729686 1737008 1803816 1954134 1976784 1985152 2061504 2141516 2223882 2233296 2306248 2405088 2512458 2594529 2605512 2635712 2705724 2931201 2965176 2977728 3092256 3206784 3212274 3335823 3349944 3459372 3474016 3607632 3747653 3908268 3953568 4123008 4283032 4447764 4466592 4612496 4810176 4818411 5024916 5189058 5211024 5271424 5411448 5862402 5930352 5955456 6184512 6424548 6671646 6699888 6918744 6948032 7215264 7495306 7783587 7816536 7907136 8566064 8793603 8895528 8933184 9224992 9620352 9636822 10049832 10378116 10422048 10822896 11242959 11724804 11860704 12369024 12849096 13343292 13399776 13837488 13896064 14430528 14455233 14990612 15567174 15633072 15814272 17132128 17587206 17791056 17866368 18449984 19273644 20099664 20756232 20844096 21645792 22485918 23350761 23449608 23721408 25698192 26686584 26799552 27674976 28861056 28910466 29981224 31134348 31266144 33728877 34264256 35174412 35582112 36899968 38547288 40199328 41512464 41688192 43291584 43365699 44971836 46701522 46899216 47442816 49131319 51396384 53373168 53599104 55349952 57820932 59962448 62268696 62532288 67457754 68528512 70348824 71164224 77094576 80398656 83024928 86583168 86731398 89943672 93403044 93798432 98262638 101186631 102792768 106746336 110699904 115641864 119924896 124537392 125064576 134915508 140697648 142328448 147393957 154189152 160797312 166049856 173462796 179887344 186806088 187596864 196525276 202373262 205585536 213492672 231283728 239849792 249074784 269831016 281395296 294787914 303559893 308378304 332099712 343919233 346925592 359774688 373612176 375193728 393050552 404746524 426985344 442181871 462567456 479699584 498149568 539662032 562790592 589575828 607119786 616756608 638707147 687838466 693851184 719549376 747224352 786101104 809493048 884363742 925134912 996299136 1031757699 1079324064 1125581184 1179151656 1214239572 1277414294 1326545613 1375676932 1387702368 1439098752 1494448704 1572202208 1618986096 1768727484 1850269824 1916121441 2063515398 2158648128 2358303312 2428479144 2554828588 2653091226 2751353864 2775404736 2988897408 3095273097 3144404416 3237972192 3537454968 3832242882 3979636839 4127030796 4317296256 4470950029 4716606624 4856958288 5109657176 5306182452 5502707728 5550809472 5748364323 6190546194 6288808832 6475944384 7074909936 7664485764 7959273678 8254061592 8941900058 9285819291 9433213248 9713916576 10219314352 10612364904 11005415456 11496728646 12381092388 12951888768 13412850087 14149819872 15328971528 15918547356 16508123184 17245092969 17883800116 18571638582 18866426496 19427833152 20438628704 21224729808 22010830912 22993457292 24762184776 26825700174 27857457873 28299639744 30657943056 31837094712 33016246368 34490185938 35767600232 37143277164 38855666304 40238550261 40877257408 42449459616 44021661824 45986914584 49524369552 51735278907 53651400348 55714915746 56599279488 61315886112 63674189424 66032492736 68980371876 71535200464 74286554328 80477100522 81754514816 84898919232 91973829168 99048739104 103470557814 107302800696 111429831492 120715650783 122631772224 127348378848 132064985472 137960743752 143070400928 148573108656 160954201044 169797838464 183947658336 198097478208 206941115628 214605601392 222859662984 241431301566 245263544448 254696757696 275921487504 286140801856 297146217312 321908402088 362146952349 367895316672 396194956416 413882231256 429211202784 445719325968 482862603132 509393515392 551842975008 572281603712 594292434624 643816804176 724293904698 735790633344 827764462512 858422405568 891438651936 965725206264 1103685950016 1188584869248 1287633608352 1448587809396 1655528925024 1716844811136 1782877303872 1931450412528 2207371900032 2575267216704 2897175618792 3311057850048 3565754607744 3862900825056 5150534433408 5794351237584 6622115700096 7725801650112 11588702475168 15451603300224 23177404950336 46354809900672
• Sum of all divisors σ(n): 169932491688960
• Sum of proper divisors (its aliquot sum) s(n): 123577681788288
• 46354809900672 is an abundant number, because the sum of its proper divisors (123577681788288) is greater than itself. Its abundance is 77222871887616

Bases of 46354809900672

• Binary: 1010100010100011010001111110100100111010000000₂
• Hexadecimal: 0x2A28D1FA4E80
• Base-36: GFJ3SYW00

Squares and roots of 46354809900672

• 46354809900672 squared (46354809900672²) is 2148768400927438874506051584
• 46354809900672 cubed (46354809900672³) is 99605750745562385087021216499581948264448
• The square root of 46354809900672 is 6808436.6708277459
• The cube root of 46354809900672 is 35922.3661137813

Scales and comparisons

• 46,354,809,900,672 seconds is equal to 1,473,939 years, 29 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
• To count from 1 to 46,354,809,900,672 would take you about three million, six hundred eighty-four thousand, eight hundred forty-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 46354809900672 cubic inches would be around 2993.5 feet tall.

Recreational maths with 46354809900672

• 46354809900672 backwards is 27600990845364
• 46354809900672 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 46354809900672's digits is 63
• More coming soon!