34638671862432

Names of 34638671862432

• Cardinal: 34638671862432 can be written as Thirty-four trillion, six hundred thirty-eight billion, six hundred seventy-one million, eight hundred sixty-two thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 3.4638671862432 × 10¹³

Factors of 34638671862432

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 40327

Divisors of 34638671862432

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 61 66 72 88 96 99 121 122 132 144 176 183 198 242 244 264 288 352 363 366 396 409 484 488 528 549 671 726 732 792 818 968 976 1056 1089 1098 1227 1342 1452 1464 1584 1636 1936 1952 2013 2178 2196 2454 2684 2904 2928 3168 3272 3681 3872 4026 4356 4392 4499 4908 5368 5808 5856 6039 6544 7362 7381 8052 8712 8784 8998 9816 10736 11616 12078 13088 13497 14724 14762 16104 17424 17568 17996 19632 21472 22143 24156 24949 26994 29448 29524 32208 34848 35992 39264 39841 40491 44286 48312 49489 49898 53988 58896 59048 64416 66429 71984 74847 79682 80982 88572 96624 98978 99796 107976 117792 118096 119523 132858 143968 148467 149694 159364 161964 177144 193248 197956 199592 215952 224541 236192 239046 265716 274439 296934 299388 318728 323928 354288 358569 395912 399184 431904 438251 445401 449082 478092 531432 548878 593868 598776 637456 647856 708576 717138 791824 798368 823317 876502 890802 898164 956184 1062864 1097756 1187736 1197552 1274912 1295712 1314753 1434276 1583648 1646634 1753004 1781604 1796328 1912368 2125728 2195512 2375472 2395104 2430301 2469951 2629506 2868552 3018829 3293268 3506008 3563208 3592656 3824736 3944259 4391024 4750944 4820761 4860602 4939902 5259012 5737104 6037658 6586536 7012016 7126416 7185312 7290903 7888518 8782048 9056487 9641522 9721204 9879804 10518024 11474208 12075316 13173072 14024032 14252832 14462283 14581806 15777036 16294969 18112974 19283044 19442408 19759608 21036048 21872709 24150632 26346144 26733311 27169461 28924566 29163612 31554072 32589938 36225948 38566088 38884816 39519216 42072096 43386849 43745418 48301264 48884907 53466622 54338922 57849132 58327224 63108144 65179876 72451896 77132176 77769632 79038432 80199933 86773698 87490836 96602528 97769814 106933244 108677844 115698264 116654448 126216288 130359752 144903792 146654721 154264352 160399866 173547396 174981672 179244659 195539628 213866488 217355688 231396528 233308896 240599799 260719504 289807584 293309442 294066421 320799732 347094792 349963344 358489318 391079256 427732976 434711376 462793056 481199598 521439008 537733977 586618884 588132842 641599464 694189584 699926688 716978636 782158512 855465952 869422752 882199263 962399196 993993109 1075467954 1173237768 1176265684 1283198928 1388379168 1433957272 1564317024 1613201931 1764398526 1924798392 1971691249 1987986218 2150935908 2346475536 2352531368 2566397856 2646597789 2867914544 2981979327 3226403862 3528797052 3849596784 3943382498 3975972436 4301871816 4692951072 4705062736 5293195578 5735829088 5915073747 5963958654 6452807724 7057594104 7699193568 7886764996 7951944872 8603743632 8945937981 9410125472 10586391156 10933924199 11830147494 11927917308 12905615448 14115188208 15773529992 15903889744 17207487264 17745221241 17891875962 21172782312 21867848398 23660294988 23855834616 25811230896 28230376416 31547059984 31807779488 32801772597 35490442482 35783751924 42345564624 43735696796 47320589976 47711669232 51622461792 63094119968 65603545194 70980884964 71567503848 84691129248 87471393592 94641179952 95423338464 98405317791 120273166189 131207090388 141961769928 143135007696 174942787184 189282359904 196810635582 240546332378 262414180776 283923539856 286270015392 349885574368 360819498567 393621271164 481092664756 524828361552 567847079712 721638997134 787242542328 962185329512 1049656723104 1082458495701 1443277994268 1574485084656 1924370659024 2164916991402 2886555988536 3148970169312 3848741318048 4329833982804 5773111977072 8659667965608 11546223954144 17319335931216 34638671862432
• Sum of all divisors σ(n): 110319483554280
• Sum of proper divisors (its aliquot sum) s(n): 75680811691848
• 34638671862432 is an abundant number, because the sum of its proper divisors (75680811691848) is greater than itself. Its abundance is 41042139829416

Bases of 34638671862432

• Binary: 111111000000011110001101110110101101010100000₂
• Hexadecimal: 0x1F80F1BB5AA0
• Base-36: CA0SAVS80

Squares and roots of 34638671862432

• 34638671862432 squared (34638671862432²) is 1199837588393238359532954624
• 34638671862432 cubed (34638671862432³) is 41560780512565133193599073767389826285568
• The square root of 34638671862432 is 5885462.7568638985
• The cube root of 34638671862432 is 32597.7089054539

Scales and comparisons

• 34,638,671,862,432 seconds is equal to 1,101,402 years, 32 weeks, 1 day, 23 hours, 7 minutes, 12 seconds.
• To count from 1 to 34,638,671,862,432 would take you about two million, seven hundred fifty-three thousand, five hundred six 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 34638671862432 cubic inches would be around 2716.5 feet tall.

Recreational maths with 34638671862432

• 34638671862432 backwards is 23426817683643
• The number of decimal digits it has is: 14
• The sum of 34638671862432's digits is 63
• More coming soon!