34638916429376

Names of 34638916429376

• Cardinal: 34638916429376 can be written as Thirty-four trillion, six hundred thirty-eight billion, nine hundred sixteen million, four hundred twenty-nine thousand, three hundred seventy-six.

Scientific notation

• Scientific notation: 3.4638916429376 × 10¹³

Factors of 34638916429376

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 203

Divisors of 34638916429376

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 4 7 8 14 16 19 28 32 38 43 49 56 59 64 73 76 86 98 112 118 133 146 152 172 196 224 236 266 292 301 304 344 392 413 448 472 511 532 584 602 608 688 784 817 826 931 944 1022 1064 1121 1168 1204 1216 1376 1387 1568 1634 1652 1849 1862 1888 2044 2107 2128 2242 2336 2408 2537 2752 2774 2891 3136 3139 3268 3304 3577 3698 3724 3776 4088 4214 4256 4307 4484 4672 4816 5074 5329 5548 5719 5782 6278 6536 6608 7154 7396 7448 7847 8176 8428 8512 8614 8968 9632 9709 10148 10658 11096 11438 11564 12556 12943 13072 13216 14308 14792 14896 15694 16352 16856 17228 17759 17936 19264 19418 20296 21316 21973 22192 22876 23128 25112 25886 26144 26432 28616 29584 29792 30149 31388 32704 33712 34456 35131 35518 35872 37303 38836 40033 40592 42632 43946 44384 45752 46256 48203 50224 51772 52288 54929 57232 59168 59584 59641 60298 62776 67424 67963 68912 70262 71036 71744 74606 77672 80066 81184 81833 85264 87892 88768 90601 91504 92512 96406 100448 101251 103544 109091 109858 114464 118336 119282 120596 124313 125552 134848 134977 135926 137824 140524 142072 149212 153811 155344 160132 162368 163666 170528 175784 181202 183008 185024 185201 192812 200896 202502 207088 211043 218182 219716 228928 229147 238564 241192 245917 248626 251104 261121 269954 271852 275648 281048 284144 298424 307622 310688 314411 320264 327332 337421 341056 351568 362404 366016 370402 385624 405004 414176 417487 422086 436364 439432 458294 477128 482384 491834 497252 502208 522242 539908 543704 562096 568288 572831 596848 615244 621376 628822 640528 654664 674842 703136 708757 724808 740804 763637 771248 810008 828352 834974 844172 872728 878864 916588 944839 954256 964768 983668 994504 1044484 1079816 1087408 1124192 1136576 1145662 1193696 1230488 1257644 1281056 1296407 1309328 1349684 1406272 1417514 1449616 1481608 1527274 1542496 1604029 1620016 1669948 1688344 1721419 1745456 1757728 1833176 1889678 1908512 1929536 1967336 1989008 2072729 2088968 2159632 2174816 2200877 2248384 2291324 2361947 2387392 2460976 2515288 2562112 2564563 2592814 2618656 2699368 2835028 2899232 2922409 2963216 3054548 3084992 3208058 3240032 3339896 3376688 3442838 3490912 3515456 3518819 3666352 3779356 3817024 3934672 3978016 4009817 4145458 4177936 4319264 4349632 4353793 4401754 4582648 4723894 4921952 4961299 5030576 5129126 5185628 5237312 5345459 5398736 5670056 5798464 5844818 5926432 5973809 6109096 6416116 6480064 6613873 6679792 6753376 6885676 6981824 7037638 7332704 7558712 7869344 7956032 7963643 8019634 8290916 8355872 8638528 8707586 8803508 9074849 9165296 9447788 9843904 9853321 9922598 10061152 10258252 10371256 10690918 10797472 11228203 11340112 11689636 11852864 11947618 12218192 12832232 13227746 13359584 13506752 13519673 13771352 14075276 14509103 14665408 15117424 15406139 15738688 15927286 16039268 16581832 16711744 17415172 17607016 17951941 18149698 18330592 18895576 19706642 19845196 20122304 20516504 20742512 21381836 21594944 22456406 22680224 23379272 23895236 24436384 24631733 25664464 26455492 26719168 27039346 27542704 28150552 29018206 30234848 30476551 30812278 31854572 32078536 33163664 34830344 35214032 35903882 36299396 36661184 37791152 39413284 39690392 41033008 41485024 41816663 42763672 44912812 45360448 46758544 47790472 48872768 49263466 51328928 52910984 54078692 55085408 55745501 56301104 58036412 60469696 60953102 61624556 63709144 64157072 66327328 68973247 69660688 70428064 71807764 72598792 75582304 78826568 79380784 82066016 82970048 83633326 85527344 89825624 93517088 94637711 95580944 98526932 101563721 102657856 105821968 108157384 110170816 111491002 112602208 116072824 121906204 123249112 125663587 127418288 128314144 132654656 137946494 139321376 140856128 143615528 145197584 151164608 151309217 157653136 158761568 164132032 167266652 171054688 172422131 179651248 187034176 187213099 189275422 191161888 197053864 203127442 211643936 213335857 216314768 222982004 225204416 232145648 243812408 246498224 251327174 254836576 256628288 256873787 275892988 278642752 287231056 290395168 292716641 302618434 315306272 317523136 334533304 342109376 344844262 359302496 374426198 378550844 382323776 390218507 394107728 406254884 423287872 426671714 432629536 445964008 464291296 482812729 487624816 492996448 502654348 509673152 513747574 551785976 574462112 580790336 581345939 585433282 605236868 630612544 662463977 669066608 689688524 718604992 748852396 757101688 780437014 788215456 812509768 853343428 865259072 891928016 928582592 965625458 975249632 985992896 1005308696 1027495148 1059164519 1103571952 1148924224 1162691878 1170866564 1210473736 1310491693 1324927954 1338133216 1379377048 1497704792 1514203376 1560874028 1576430912 1625019536 1706686856 1783856032 1798116509 1931250916 1950499264 2010617392 2054990296 2118329038 2207143904 2325383756 2341733128 2420947472 2620983386 2649855908 2676266432 2758754096 2995409584 3028406752 3121748056 3250039072 3413373712 3567712064 3596233018 3862501832 4021234784 4069421573 4109980592 4236658076 4414287808 4650767512 4683466256 4841894944 5241966772 5299711816 5517508192 5990819168 6056813504 6243496112 6500078144 6826747424 7192466036 7414151633 7725003664 8042469568 8138843146 8219961184 8473316152 9173441851 9301535024 9366932512 9683789888 10483933544 10599423632 11035016384 11045572841 11981638336 12486992224 12586815563 13653494848 14384932072 14828303266 15450007328 16277686292 16439922368 16946632304 18346883702 18603070048 18733865024 20967867088 21198847264 22091145682 24973984448 25173631126 28485951011 28769864144 29656606532 30900014656 32555372584 33893264608 36693767404 37206140096 41935734176 42397694528 44182291364 50347262252 56971902022 57539728288 59313213064 65110745168 67786529216 73387534808 77319009887 83871468352 88364582728 100694524504 113943804044 115079456576 118626426128 130221490336 146775069616 154638019774 176729165456 201389049008 227887608088 237252852256 260442980672 293550139232 309276039548 353458330912 402778098016 455775216176 474505704512 541233069209 587100278464 618552079096 706916661824 805556196032 911550432352 1082466138418 1237104158192 1823100864704 2164932276836 2474208316384 4329864553672 4948416632768 8659729107344 17319458214688 34638916429376
• Sum of all divisors σ(n): 88847539297200
• Sum of proper divisors (its aliquot sum) s(n): 54208622867824
• 34638916429376 is an abundant number, because the sum of its proper divisors (54208622867824) is greater than itself. Its abundance is 19569706438448

Bases of 34638916429376

• Binary: 111111000000100000000010011110010011001000000₂
• Hexadecimal: 0x1F81004F2640
• Base-36: CA0WCHPA8

Squares and roots of 34638916429376

• 34638916429376 squared (34638916429376²) is 1199854531401294577195749376
• 34638916429376 cubed (34638916429376³) is 41561660840617544425701338570318500069376
• The square root of 34638916429376 is 5885483.5340332063
• The cube root of 34638916429376 is 32597.7856241699

Scales and comparisons

• 34,638,916,429,376 seconds is equal to 1,101,410 years, 20 weeks, 4 days, 14 hours, 22 minutes, 56 seconds.
• To count from 1 to 34,638,916,429,376 would take you about two million, seven hundred fifty-three thousand, five hundred twenty-five 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 34638916429376 cubic inches would be around 2716.5 feet tall.

Recreational maths with 34638916429376

• 34638916429376 backwards is 67392461983643
• The number of decimal digits it has is: 14
• The sum of 34638916429376's digits is 71
• More coming soon!