34004168471808

Names of 34004168471808

• Cardinal: 34004168471808 can be written as Thirty-four trillion, four billion, one hundred sixty-eight million, four hundred seventy-one thousand, eight hundred eight.

Scientific notation

• Scientific notation: 3.4004168471808 × 10¹³

Factors of 34004168471808

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 5895

Divisors of 34004168471808

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 89 96 102 108 128 136 144 153 178 192 204 216 256 267 272 288 306 356 384 408 432 459 534 544 576 612 631 712 768 801 816 864 918 1068 1088 1152 1224 1262 1424 1513 1602 1632 1728 1836 1893 2136 2176 2304 2403 2448 2524 2848 3026 3204 3264 3456 3672 3786 4272 4352 4539 4806 4896 5048 5153 5679 5696 6052 6408 6528 6912 7344 7572 8544 9078 9612 9792 10096 10306 10727 11358 11392 12104 12816 13056 13617 14688 15144 15459 17037 17088 18156 19224 19584 20192 20612 21454 22716 22784 24208 25632 27234 29376 30288 30918 32181 34074 34176 36312 38448 39168 40384 40851 41224 42908 45432 46377 48416 51264 54468 56159 58752 60576 61836 64362 68148 68352 72624 76896 80768 81702 82448 85816 87601 90864 92754 96543 96832 102528 108936 112318 117504 121152 123672 128724 136296 139131 145248 153792 161536 163404 164896 168477 171632 175202 181728 185508 193086 193664 205056 217872 224636 242304 247344 257448 262803 272592 278262 289629 290496 307584 326808 329792 336954 343264 350404 363456 371016 386172 387328 435744 449272 458617 484608 494688 505431 514896 525606 545184 556524 579258 580992 615168 653616 659584 673908 686528 700808 726912 742032 772344 788409 871488 898544 917234 954703 989376 1010862 1029792 1051212 1090368 1113048 1158516 1161984 1307232 1319168 1347816 1373056 1375851 1401616 1453824 1484064 1516293 1544688 1576818 1742976 1797088 1834468 1909406 1978752 2021724 2059584 2102424 2180736 2226096 2317032 2365227 2614464 2695632 2746112 2751702 2803232 2864109 2968128 3032586 3089376 3153636 3251543 3485952 3594176 3668936 3818812 3957504 4043448 4119168 4127553 4204848 4361472 4452192 4634064 4730454 5228928 5391264 5503404 5606464 5728218 5936256 6065172 6178752 6307272 6503086 7188352 7337872 7637624 7796489 8086896 8238336 8255106 8409696 8592327 8904384 9268128 9460908 9754629 10457856 10782528 11006808 11212928 11456436 11872512 12130344 12357504 12382659 12614544 13006172 14376704 14675744 15275248 15592978 16173792 16510212 16819392 17184654 17808768 18536256 18921816 19509258 21565056 22013616 22425856 22912872 23389467 24260688 24715008 24765318 25229088 25776981 26012344 29263887 29351488 30550496 31185956 32347584 33020424 33638784 34369308 35617536 37072512 37843632 39018516 43130112 44027232 45825744 46778934 48521376 49530636 50458176 51553962 52024688 55276231 58527774 58702976 61100992 62371912 64695168 66040848 67277568 68738616 70168401 74145024 75687264 78037032 87791661 88054464 91651488 93557868 97042752 99061272 100916352 103107924 104049376 110552462 117055548 117405952 122201984 124743824 129390336 132081696 137477232 140336802 151374528 156074064 165828693 175583322 176108928 183302976 187115736 194085504 198122544 201832704 206215848 208098752 210505203 221104924 234111096 244403968 249487648 264163392 274954464 280673604 289387327 302749056 312148128 331657386 351166644 352217856 366605952 374231472 388171008 396245088 412431696 416197504 421010406 442209848 468222192 497486079 498975296 528326784 549908928 561347208 578774654 605498112 624296256 663314772 702333288 733211904 748462944 792490176 824863392 832395008 842020812 868161981 884419696 936444384 994972158 997950592 1056653568 1099817856 1122694416 1157549308 1248592512 1326629544 1404666576 1492458237 1496925888 1584980352 1649726784 1684041624 1736323962 1768839392 1872888768 1989944316 1995901184 2199635712 2245388832 2315098616 2497185024 2604485943 2653259088 2809333152 2984916474 2993851776 3169960704 3299453568 3368083248 3472647924 3537678784 3745777536 3979888632 4490777664 4630197232 4919584559 5208971886 5306518176 5618666304 5969832948 5987703552 6598907136 6736166496 6945295848 7075357568 7491555072 7813457829 7959777264 8981555328 9260394464 9839169118 10417943772 10613036352 11237332608 11939665896 13472332992 13890591696 14150715136 14758753677 15626915658 15919554528 17963110656 18520788928 19678338236 20835887544 21226072704 22474665216 23879331792 26944665984 27781183392 29517507354 31253831316 31839109056 37041577856 39356676472 41671775088 42452145408 44276261031 47758663584 53889331968 55562366784 59035014708 62507662632 63678218112 74083155712 78713352944 83343550176 88552522062 95517327168 111124733568 118070029416 125015325264 127356436224 132828783093 157426705888 166687100352 177105044124 191034654336 222249467136 236140058832 250030650528 265657566186 314853411776 333374200704 354210088248 382069308672 472280117664 500061301056 531315132372 629706823552 666748401408 708420176496 944560235328 1000122602112 1062630264744 1259413647104 1416840352992 1889120470656 2000245204224 2125260529488 2833680705984 3778240941312 4250521058976 5667361411968 8501042117952 11334722823936 17002084235904 34004168471808
• Sum of all divisors σ(n): 107859250598400
• Sum of proper divisors (its aliquot sum) s(n): 73855082126592
• 34004168471808 is an abundant number, because the sum of its proper divisors (73855082126592) is greater than itself. Its abundance is 39850913654784

Bases of 34004168471808

• Binary: 111101110110100110110011000011111010100000000₂
• Hexadecimal: 0x1EED3661F500
• Base-36: C1XARY2O0

Squares and roots of 34004168471808

• 34004168471808 squared (34004168471808²) is 1156283473459101214090788864
• 34004168471808 cubed (34004168471808³) is 39318458032670611858738777401732064346112
• The square root of 34004168471808 is 5831309.3273987789
• The cube root of 34004168471808 is 32397.4419028355

Scales and comparisons

• 34,004,168,471,808 seconds is equal to 1,081,227 years, 19 weeks, 3 days, 17 hours, 16 minutes, 48 seconds.
• To count from 1 to 34,004,168,471,808 would take you about two million, seven hundred three thousand and sixty-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 34004168471808 cubic inches would be around 2699.8 feet tall.

Recreational maths with 34004168471808

• 34004168471808 backwards is 80817486140043
• 34004168471808 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34004168471808's digits is 54
• More coming soon!