34107124889574144

Names of 34107124889574144

• Cardinal: 34107124889574144 can be written as Thirty-four quadrillion, one hundred seven trillion, one hundred twenty-four billion, eight hundred eighty-nine million, five hundred seventy-four thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 3.4107124889574144 × 10¹⁶

Factors of 34107124889574144

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1847279

Divisors of 34107124889574144

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 67 72 76 96 114 128 134 144 152 171 192 201 228 256 268 288 304 342 384 402 456 536 576 603 608 684 768 804 912 1072 1152 1206 1216 1273 1368 1608 1824 2144 2304 2412 2432 2546 2736 3216 3648 3819 4288 4824 4864 5092 5472 6317 6432 7296 7638 8576 9648 10184 10944 11457 12634 12864 14592 15276 17152 18951 19296 20368 21888 22914 25268 25728 30552 37902 38592 40736 43776 45828 50536 51456 56853 61104 75804 77184 81472 91656 101072 113706 120023 122208 151608 154368 162944 183312 202144 227412 240046 244416 303216 325888 360069 366624 404288 423239 454824 480092 488832 606432 720138 733248 808576 846478 909648 960184 977664 1080207 1212864 1269717 1440276 1466496 1617152 1692956 1819296 1840871 1920368 2160414 2425728 2539434 2880552 2932992 3385912 3638592 3681742 3809151 3840736 4320828 4851456 5078868 5522613 5761104 6771824 7277184 7363484 7618302 7681472 8041541 8641656 10157736 11045226 11522208 13543648 14554368 14726968 15236604 15362944 16083082 16567839 17283312 20315472 22090452 23044416 24124623 27087296 29453936 30473208 30725888 32166164 33135678 34566624 34976549 40630944 44180904 46088832 48249246 54174592 58907872 60946416 64332328 66271356 69133248 69953098 72373869 81261888 88361808 92177664 96498492 104929647 108349184 117815744 121892832 123338357 128664656 132542712 138266496 139906196 144747738 162523776 176723616 192996984 209859294 235631488 243785664 246676714 257329312 265085424 276532992 279812392 289495476 314788941 325047552 353447232 370015071 385993968 419718588 471262976 487571328 493353428 514658624 530170848 559624784 578990952 629577882 706894464 740030142 771987936 839437176 975142656 986706856 1029317248 1060341696 1110045213 1119249568 1157981904 1259155764 1413788928 1480060284 1543975872 1678874352 1973413712 2058634496 2120683392 2220090426 2238499136 2315963808 2343428783 2518311528 2960120568 3087951744 3357748704 3946827424 4241366784 4440180852 4476998272 4631927616 4686857566 5036623056 5920241136 6175903488 6715497408 7030286349 7893654848 8880361704 8953996544 9263855232 9373715132 10073246112 11628782107 11840482272 13430994816 14060572698 15787309696 17760723408 18527710464 18747430264 20146492224 21090859047 23257564214 23680964544 26861989632 28121145396 31574619392 34886346321 35521446816 37494860528 40292984448 42181718094 46515128428 47361929088 56242290792 69772692642 71042893632 74989721056 80585968896 84363436188 93030256856 94723858176 104659038963 112484581584 139545385284 142085787264 149979442112 168726872376 186060513712 209318077926 220946860033 224969163168 279090770568 284171574528 299958884224 337453744752 372121027424 418636155852 441893720066 449938326336 558181541136 599917768448 662840580099 674907489504 744242054848 779128401169 837272311704 883787440132 899876652672 1116363082272 1325681160198 1349814979008 1488484109696 1558256802338 1674544623408 1767574880264 1799753305344 1988521740297 2232726164544 2337385203507 2651362320396 2699629958016 2976968219392 3116513604676 3349089246816 3535149760528 3977043480594 4465452329088 4674770407014 5302724640792 5399259916032 6233027209352 6698178493632 7012155610521 7070299521056 7954086961188 8930904658176 9349540814028 10605449281584 12466054418704 13396356987264 14024311221042 14140599042112 14803439622211 15908173922376 18699081628056 21210898563168 24932108837408 26792713974528 28048622442084 28281198084224 29606879244422 31816347844752 37398163256112 42421797126336 44410318866633 49864217674816 56097244884168 56562396168448 59213758488844 63632695689504 74796326512224 84843594252672 88820637733266 99728435349632 112194489768336 118427516977688 127265391379008 133230956599899 149592653024448 169687188505344 177641275466532 199456870699264 224388979536672 236855033955376 254530782758016 266461913199798 299185306048896 355282550933064 448777959073344 473710067910752 509061565516032 532923826399596 598370612097792 710565101866128 897555918146688 947420135821504 1065847652799192 1421130203732256 1795111836293376 1894840271643008 2131695305598384 2842260407464512 3789680543286016 4263390611196768 5684520814929024 8526781222393536 11369041629858048 17053562444787072 34107124889574144
• Sum of all divisors σ(n): 105076687762126080
• Sum of proper divisors (its aliquot sum) s(n): 70969562872551936
• 34107124889574144 is an abundant number, because the sum of its proper divisors (70969562872551936) is greater than itself. Its abundance is 36862437982977792

Bases of 34107124889574144

• Binary: 1111001001011000011111111010111010110100101101100000000₂
• Hexadecimal: 0x792C3FD75A5B00
• Base-36: 9BTYSV7DTS0

Squares and roots of 34107124889574144

• 34107124889574144 squared (34107124889574144²) is 1163295968233008064545869673332736
• 34107124889574144 cubed (34107124889574144³) is 39676680872061282109995322199687883401792254377984
• The square root of 34107124889574144 is 184681143.8387095977
• The cube root of 34107124889574144 is 324301.0617093491

Scales and comparisons

• 34,107,124,889,574,144 seconds is equal to 1,084,501,071 years, 11 weeks, 4 days, 15 hours, 2 minutes, 24 seconds.
• To count from 1 to 34,107,124,889,574,144 would take you about three billion, two hundred fifty-three million, five hundred three thousand, two hundred thirteen 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 34107124889574144 cubic inches would be around 27025.1 feet tall.

Recreational maths with 34107124889574144

• 34107124889574144 backwards is 44147598842170143
• 34107124889574144 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34107124889574144's digits is 72
• More coming soon!