34004222506217832

Names of 34004222506217832

• Cardinal: 34004222506217832 can be written as Thirty-four quadrillion, four trillion, two hundred twenty-two billion, five hundred six million, two hundred seventeen thousand, eight hundred thirty-two.

Scientific notation

• Scientific notation: 3.4004222506217832 × 10¹⁶

Factors of 34004222506217832

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 85659915

Divisors of 34004222506217832

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 11 12 17 22 24 33 34 43 44 51 66 68 86 88 102 121 129 132 136 172 187 204 242 258 264 289 344 363 374 408 473 484 516 561 578 726 731 748 867 946 968 1032 1122 1156 1331 1419 1452 1462 1496 1734 1892 2057 2193 2244 2312 2662 2838 2904 2924 3179 3468 3784 3993 4114 4386 4488 5203 5324 5676 5848 6171 6358 6936 7986 8041 8228 8772 9537 10406 10648 11352 12342 12427 12716 15609 15972 16082 16456 17544 19074 20812 22627 24123 24684 24854 25432 31218 31944 32164 34969 37281 38148 41624 45254 48246 49368 49708 57233 62436 64328 67881 69938 74562 76296 88451 90508 96492 99416 104907 114466 124872 135762 136697 139876 149124 171699 176902 181016 192984 209814 228932 265353 271524 273394 279752 298248 343398 353804 384659 410091 419628 457864 530706 543048 546788 686796 707608 769318 820182 839256 972961 1061412 1093576 1153977 1373592 1503667 1538636 1640364 1945922 2122824 2307954 2918883 3007334 3077272 3280728 3891844 4511001 4615908 5837766 6014668 7783688 9022002 9231816 11675532 12029336 16540337 18044004 23351064 33080674 36088008 49621011 66161348 85659839 99242022 132322696 171319678 198484044 256979517 342639356 396968088 513959034 685278712 942258229 1027918068 1456217263 1884516458 2055836136 2826774687 2912434526 3683373077 3769032916 4368651789 5653549374 5824869052 7366746154 7538065832 8737303578 10364840519 11050119231 11307098748 11649738104 14733492308 16018389893 17474607156 20729681038 22100238462 22614197496 24755693471 29466984616 31094521557 32036779786 34949214312 40517103847 41459362076 44200476924 48055169679 49511386942 62189043114 62617342309 64073559572 74267080413 81034207694 82918724152 88400953848 96110339358 99022773884 114013245709 121551311541 124378086228 125234684618 128147119144 148534160826 162068415388 176202288823 187852026927 192220678716 198045547768 228026491418 243102623082 248756172456 250469369236 272312628181 297068321652 324136830776 342039737127 352404577646 375704053854 384441357432 445688142317 456052982836 486205246164 500938738472 528606866469 544625256362 594136643304 684079474254 688790765399 704809155292 751408107708 816937884543 891376284634 912105965672 972410492328 1057213732938 1064494819253 1089250512724 1337064426951 1368158948508 1377581530798 1409618310584 1502816215416 1633875769086 1782752569268 1938225177053 2066372296197 2114427465876 2128989638506 2178501025448 2674128853902 2736317897016 2755163061596 2995438909991 3193484457759 3267751538172 3565505138536 3876450354106 4132744592394 4228854931752 4257979277012 4902569565487 5348257707804 5510326123192 5814675531159 5990877819982 6386968915518 6535503076344 7576698419389 7752900708212 8265489184788 8515958554024 8986316729973 9805139130974 10696515415608 11629351062318 11709443011783 11981755639964 12773937831036 14707708696461 15153396838778 15505801416424 16530978369576 17972633459946 19610278261948 22730095258167 23258702124636 23418886023566 23963511279928 25547875662072 29415417392922 30306793677556 32949828009901 35128329035349 35945266919892 39220556523896 45460190516334 46517404249272 46837772047132 58830834785844 60613587355112 65899656019802 70256658070698 71890533839784 83343682613279 90920381032668 93675544094264 98849484029703 117661669571688 128803873129613 131799312039604 140513316141396 166687365226558 181840762065336 197698968059406 250031047839837 257607746259226 263598624079208 281026632282792 333374730453116 386411619388839 395397936118812 500062095679674 515215492518452 666749460906232 772823238777678 790795872237624 1000124191359348 1030430985036904 1416842604425743 1545646477555356 2000248382718696 2833685208851486 3091292955110712 4250527813277229 5667370417702972 8501055626554458 11334740835405944 17002111253108916 34004222506217832
• Sum of all divisors σ(n): 101639059548364800
• Sum of proper divisors (its aliquot sum) s(n): 67634837042146968
• 34004222506217832 is an abundant number, because the sum of its proper divisors (67634837042146968) is greater than itself. Its abundance is 33630614535929136

Bases of 34004222506217832

• Binary: 1111000110011101010100100000011010110001011000101101000₂
• Hexadecimal: 0x78CEA90358B168
• Base-36: 9ATHO5X704O

Squares and roots of 34004222506217832

• 34004222506217832 squared (34004222506217832²) is 1156287148252371335629901434780224
• 34004222506217832 cubed (34004222506217832³) is 39318645470253720280973684607898316793862389754368
• The square root of 34004222506217832 is 184402338.6679730587
• The cube root of 34004222506217832 is 323974.5906323861

Scales and comparisons

• 34,004,222,506,217,832 seconds is equal to 1,081,229,093 years, 38 weeks, 6 hours, 17 minutes, 12 seconds.
• To count from 1 to 34,004,222,506,217,832 would take you about three billion, two hundred forty-three million, six hundred eighty-seven thousand, two hundred eighty-one 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 34004222506217832 cubic inches would be around 26997.9 feet tall.

Recreational maths with 34004222506217832

• 34004222506217832 backwards is 23871260522240043
• 34004222506217832 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34004222506217832's digits is 51
• More coming soon!