34968430768128

Names of 34968430768128

• Cardinal: 34968430768128 can be written as Thirty-four trillion, nine hundred sixty-eight billion, four hundred thirty million, seven hundred sixty-eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 3.4968430768128 × 10¹³

Factors of 34968430768128

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 3298

Divisors of 34968430768128

• Number of divisors d(n): 832
• Complete list of divisors:
  1 2 3 4 6 8 11 12 13 16 22 23 24 26 32 33 39 44 46 48 52 64 66 69 78 88 92 96 104 128 132 138 143 156 176 184 192 208 253 256 264 276 286 293 299 312 352 368 384 416 429 506 512 528 552 572 586 598 624 704 736 759 768 832 858 879 897 1012 1024 1056 1104 1144 1172 1196 1248 1408 1472 1518 1536 1664 1716 1758 1794 2024 2048 2112 2208 2288 2344 2392 2496 2816 2944 2953 3036 3072 3223 3289 3328 3432 3516 3588 3809 4048 4096 4224 4416 4576 4688 4784 4992 5632 5888 5906 6072 6144 6446 6578 6656 6739 6864 7032 7176 7618 8096 8448 8832 8859 9152 9376 9568 9669 9867 9984 11264 11427 11776 11812 12144 12288 12892 13156 13312 13478 13728 14064 14352 15236 16192 16896 17664 17718 18304 18752 19136 19338 19734 19968 20217 22528 22854 23552 23624 24288 25784 26312 26624 26956 27456 28128 28704 30472 32384 32483 33792 35328 35436 36608 37504 38272 38389 38676 39468 39936 40434 41899 45056 45708 47104 47248 48576 51568 52624 53248 53912 54912 56256 57408 60944 64768 64966 67584 67919 70656 70872 73216 74129 75008 76544 76778 77352 78936 79872 80868 83798 87607 91416 94208 94496 97152 97449 103136 105248 107824 109824 112512 114816 115167 121888 125697 129536 129932 135168 135838 141312 141744 146432 148258 150016 153088 153556 154704 157872 159744 161736 167596 175214 182832 188992 194304 194898 203757 206272 210496 215648 219648 222387 225024 229632 230334 243776 251394 259072 259864 262821 271676 282624 283488 292864 296516 300032 306176 307112 309408 315744 323472 335192 350428 365664 377984 388608 389796 407514 412544 420992 422279 431296 439296 444774 450048 459264 460668 487552 502788 518144 519728 525642 543352 566976 585728 593032 600064 612352 614224 618816 631488 646944 670384 700856 731328 747109 755968 777216 779592 815028 825088 841984 844558 862592 865229 878592 882947 889548 900096 918528 921336 963677 975104 1005576 1036288 1039456 1051284 1086704 1133952 1186064 1200128 1224704 1228448 1237632 1262976 1266837 1293888 1340768 1401712 1462656 1494218 1511936 1554432 1559184 1630056 1650176 1683968 1689116 1725184 1730458 1757184 1765894 1779096 1800192 1837056 1842672 1927354 1950208 2011152 2078912 2102568 2173408 2241327 2267904 2372128 2456896 2475264 2525952 2533674 2587776 2595687 2648841 2681536 2803424 2891031 2925312 2988436 3023872 3108864 3118368 3260112 3300352 3367936 3378232 3450368 3460916 3531788 3558192 3600384 3674112 3685344 3854708 3900416 4022304 4157824 4205136 4346816 4482654 4535808 4744256 4913792 4950528 5051904 5067348 5175552 5191374 5297682 5363072 5606848 5782062 5850624 5976872 6047744 6236736 6520224 6600704 6735872 6756464 6900736 6921832 7063576 7116384 7370688 7709416 7800832 8044608 8315648 8410272 8693632 8965308 9071616 9488512 9517519 9712417 9827584 9901056 10103808 10134696 10351104 10382748 10595364 10726144 11213696 11247977 11564124 11701248 11953744 12095488 12473472 13040448 13201408 13471744 13512928 13801472 13843664 14127152 14232768 14741376 15418832 15601664 16089216 16631296 16820544 17387264 17930616 18143232 18977024 19035038 19424834 19655168 19802112 19900267 20207616 20269392 20702208 20765496 21190728 21452288 22427392 22495954 23128248 23402496 23907488 24946944 26080896 27025856 27602944 27687328 28254304 28465536 28552557 29137251 29482752 30837664 32178432 33262592 33641088 33743931 34774528 35861232 36286464 37954048 38070076 38849668 39310336 39604224 39800534 40415232 40538784 41404416 41530992 42381456 42904576 44854784 44991908 46256496 46804992 47814976 49893888 52161792 54051712 55374656 56508608 56931072 57105114 58274502 58965504 59700801 61675328 64356864 66525184 67282176 67487862 69549056 71722464 75908096 76140152 77699336 78620672 79601068 81077568 82808832 83061984 84762912 85809152 89709568 89983816 92512992 95629952 99787776 104323584 108103424 110749312 113017216 113862144 114210228 116549004 117931008 119401602 123350656 123727747 128713728 133050368 134564352 134975724 139098112 143444928 151816192 152280304 155398672 157241344 159202136 162155136 166123968 169525824 171618304 179419136 179967632 185025984 191259904 199575552 208647168 216206848 218902937 221498624 226034432 227724288 228420456 233098008 235862016 238803204 246701312 247455494 257427456 258703471 269128704 269951448 278196224 286889856 303632384 304560608 310797344 318404272 324310272 332247936 339051648 358838272 359935264 370051968 371183241 382519808 399151104 417294336 432413696 437805874 442997248 452068864 455448576 456840912 466196016 471724032 477606408 493402624 494910988 514854912 517406942 538257408 539902896 573779712 609121216 621594688 636808544 648620544 656708811 664495872 678103296 719870528 740103936 742366482 765039616 776110413 834588672 864827392 875611748 885994496 904137728 910897152 913681824 932392032 955212816 986805248 989821976 1034813884 1076514816 1079805792 1147559424 1218242432 1243189376 1273617088 1297241088 1313417622 1328991744 1356206592 1439741056 1480207872 1484732964 1530079232 1552220826 1729654784 1751223496 1771988992 1808275456 1827363648 1864784064 1910425632 1973610496 1979643952 2069627768 2159611584 2295118848 2436484864 2486378752 2547234176 2594482176 2626835244 2657983488 2712413184 2845738181 2879482112 2960415744 2969465928 3060158464 3104441652 3502446992 3543977984 3616550912 3654727296 3729568128 3820851264 3947220992 3959287904 4139255536 4319223168 4590237696 4872969728 4972757504 5094468352 5188964352 5253670488 5315966976 5424826368 5691476362 5758964224 5920831488 5938931856 6208883304 7004893984 7309454592 7459136256 7641702528 7918575808 8278511072 8537214543 8638446336 9180475392 9745939456 9945515008 10188936704 10507340976 10631933952 10849652736 11382952724 11517928448 11841662976 11877863712 12417766608 14009787968 14618909184 14918272512 15283405056 15837151616 16557022144 17074429086 17276892672 19491878912 19891030016 20377873408 21014681952 22765905448 23035856896 23755727424 24835533216 28019575936 29237818368 29836545024 30566810112 31674303232 33114044288 34148858172 34553785344 38983757824 39782060032 40755746816 42029363904 45531810896 46071713792 47511454848 49671066432 56039151872 58475636736 59673090048 61133620224 63348606464 66228088576 68297716344 69107570688 81511493632 84058727808 91063621792 95022909696 99342132864 112078303744 116951273472 119346180096 122267240448 126697212928 132456177152 136595432688 138215141376 168117455616 182127243584 190045819392 198684265728 224156607488 244534480896 253394425856 264912354304 273190865376 336234911232 364254487168 380091638784 397368531456 448313214976 506788851712 529824708608 546381730752 672469822464 728508974336 760183277568 794737062912 896626429952 1059649417216 1092763461504 1344939644928 1457017948672 1520366555136 1589474125824 2185526923008 2689879289856 2914035897344 3178948251648 4371053846016 5828071794688 8742107692032 11656143589376 17484215384064 34968430768128
• Sum of all divisors σ(n): 114729542581248
• Sum of proper divisors (its aliquot sum) s(n): 79761111813120
• 34968430768128 is an abundant number, because the sum of its proper divisors (79761111813120) is greater than itself. Its abundance is 44792681044992

Bases of 34968430768128

• Binary: 111111100110110111000111001001111000000000000₂
• Hexadecimal: 0x1FCDB8E4F000
• Base-36: CE89WTKAO

Squares and roots of 34968430768128

• 34968430768128 squared (34968430768128²) is 1222791150385360988100624384
• 34968430768128 cubed (34968430768128³) is 42759087686130089500334081795953526833152
• The square root of 34968430768128 is 5913411.0941256233
• The cube root of 34968430768128 is 32700.8253767445

Scales and comparisons

• 34,968,430,768,128 seconds is equal to 1,111,887 years, 48 weeks, 3 days, 23 hours, 8 minutes, 48 seconds.
• To count from 1 to 34,968,430,768,128 would take you about two million, seven hundred seventy-nine thousand, seven hundred nineteen 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 34968430768128 cubic inches would be around 2725.1 feet tall.

Recreational maths with 34968430768128

• 34968430768128 backwards is 82186703486943
• 34968430768128 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34968430768128's digits is 69
• More coming soon!