46128313564032

Names of 46128313564032

• Cardinal: 46128313564032 can be written as Forty-six trillion, one hundred twenty-eight billion, three hundred thirteen million, five hundred sixty-four thousand and thirty-two.

Scientific notation

• Scientific notation: 4.6128313564032 × 10¹³

Factors of 46128313564032

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 5164

Divisors of 46128313564032

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 49 53 56 58 64 84 87 96 98 106 112 116 128 147 159 168 174 192 196 203 212 224 232 294 318 336 337 348 371 384 392 406 424 448 464 588 609 636 672 674 696 742 784 812 848 896 928 1011 1113 1176 1218 1272 1344 1348 1392 1421 1484 1537 1568 1624 1696 1856 2022 2226 2352 2359 2436 2544 2597 2688 2696 2784 2842 2968 3074 3136 3248 3392 3712 4044 4263 4452 4611 4704 4718 4733 4872 5088 5194 5392 5568 5684 5936 6148 6272 6496 6784 7077 7791 8088 8526 8904 9222 9408 9436 9466 9744 9773 10176 10388 10759 10784 11136 11368 11872 12296 12992 14154 14199 15582 16176 16513 17052 17808 17861 18444 18816 18872 18932 19488 19546 20352 20776 21518 21568 22736 23744 24592 25984 28308 28398 29319 31164 32277 32352 33026 33131 34104 35616 35722 36888 37744 37864 38976 39092 41552 43036 43136 45472 47488 49184 49539 53583 56616 56796 58638 62328 64554 64704 66052 66262 68208 68411 71232 71444 73776 75313 75488 75728 77952 78184 83104 86072 90944 98368 99078 99393 107166 113232 113592 117276 124656 125027 129108 129408 132104 132524 136416 136822 137257 142464 142888 147552 150626 150976 151456 156368 166208 172144 181888 196736 198156 198786 205233 214332 225939 226464 227184 231917 234552 249312 250054 250849 258216 264208 265048 272832 273644 274514 285776 295104 301252 301952 302912 312736 332416 344288 375081 396312 397572 410466 411771 428664 451878 452928 454368 463834 469104 478877 498624 500108 501698 516432 517969 528416 530096 545664 547288 549028 571552 590208 602504 605824 625472 688576 695751 750162 752547 792624 795144 820932 823542 857328 875189 903756 905856 908736 927668 938208 957754 960799 997248 1000216 1003396 1032864 1035938 1056832 1060192 1094576 1098056 1143104 1205008 1250944 1377152 1391502 1436631 1500324 1505094 1553907 1585248 1590288 1595021 1641864 1647084 1714656 1750378 1755943 1807512 1817472 1855336 1876416 1915508 1921598 2000432 2006792 2065728 2071876 2113664 2120384 2189152 2196112 2286208 2410016 2625567 2783004 2873262 2882397 3000648 3010188 3107814 3170496 3180576 3190042 3283728 3294168 3429312 3500756 3511886 3615024 3625783 3710672 3752832 3831016 3843196 4000864 4013584 4131456 4143752 4240768 4378304 4392224 4785063 4820032 5251134 5267829 5566008 5746524 5764794 6001296 6020376 6215628 6340992 6361152 6380084 6567456 6588336 6725593 6858624 7001512 7023772 7230048 7251566 7274621 7421344 7662032 7686392 8001728 8027168 8287504 8756608 8784448 9570126 9640064 10502268 10535658 10877349 11132016 11165147 11493048 11529588 12002592 12040752 12291601 12431256 12722304 12760168 13134912 13176672 13451186 14003024 14047544 14460096 14503132 14549242 14842688 15324064 15372784 16003456 16054336 16575008 17568896 19140252 20176779 21004536 21071316 21754698 21823863 22264032 22330294 22986096 23059176 24005184 24081504 24583202 24862512 25380481 25520336 26269824 26353344 26902372 28006048 28095088 28920192 29006264 29098484 29685376 30648128 30745568 32108672 33150016 33495441 36874803 38280504 40353558 42009072 42142632 43509396 43647726 44528064 44660588 45972192 46118352 46255609 48010368 48163008 49166404 49725024 50760962 50922347 51040672 52706688 53804744 56012096 56190176 58012528 58196968 61296256 61491136 66300032 66990882 73749606 76141443 76561008 78156029 80707116 84018144 84285264 84536113 87018792 87295452 89056128 89321176 91944384 92236704 92511218 96326016 98332808 99450048 101521924 101844694 102081344 107609488 112024192 112380352 116025056 116393936 122982272 133981764 138766827 147499212 152282886 152767041 153122016 156312058 161414232 168036288 168570528 169072226 174037584 174590904 178642352 183888768 184473408 185022436 196665616 198900096 203043848 203689388 204162688 215218976 224760704 232050112 232787872 234468087 253608339 267963528 277533654 294998424 304565772 305534082 306244032 312624116 322828464 323789263 336072576 337141056 338144452 348075168 349181808 356456429 357284704 368946816 370044872 393331232 406087696 407378776 430437952 464100224 465575744 468936174 507216678 535927056 555067308 589996848 591752791 609131544 611068164 612488064 625248232 645656928 647578526 674282112 676288904 696150336 698363616 712912858 714569408 740089744 786662464 812175392 814757552 860875904 931151488 937872348 971367789 1014433356 1069369287 1071854112 1110134616 1179993696 1183505582 1218263088 1222136328 1250496464 1291313856 1295157052 1352577808 1392300672 1396727232 1425825716 1429138816 1480179488 1573324928 1624350784 1629515104 1775258373 1875744696 1942735578 2028866712 2138738574 2143708224 2220269232 2266524841 2359987392 2367011164 2436526176 2444272656 2451547277 2500992928 2582627712 2590314104 2705155616 2793454464 2851651432 2960358976 3248701568 3259030208 3550516746 3751489392 3885471156 4057733424 4142269537 4277477148 4287416448 4440538464 4533049682 4719974784 4734022328 4873052352 4888545312 4903094554 5001985856 5180628208 5410311232 5703302864 5920717952 6518060416 6799574523 7101033492 7354641831 7502978784 7770942312 8115466848 8284539074 8554954296 8881076928 9066099364 9468044656 9746104704 9777090624 9806189108 10003971712 10361256416 10820622464 11406605728 12426808611 13599149046 14202066984 14709283662 15005957568 15541884624 16230933696 16569078148 17109908592 17160830939 17762153856 18132198728 18936089312 19554181248 19612378216 20722512832 22813211456 24853617222 27198298092 28404133968 29418567324 30011915136 31083769248 32461867392 33138156296 34219817184 34321661878 36264397456 37872178624 39224756432 41445025664 45626422912 49707234444 51482492817 54396596184 56808267936 58837134648 62167538496 66276312592 68439634368 68643323756 72528794912 75744357248 78449512864 99414468888 102964985634 108793192368 113616535872 117674269296 120125816573 124335076992 132552625184 136879268736 137286647512 145057589824 156899025728 198828937776 205929971268 217586384736 227233071744 235348538592 240251633146 265105250368 274573295024 290115179648 313798051456 360377449719 397657875552 411859942536 435172769472 470697077184 480503266292 530210500736 549146590048 720754899438 795315751104 823719885072 870345538944 941394154368 961006532584 1098293180096 1441509798876 1590631502208 1647439770144 1922013065168 2196586360192 2883019597752 3294879540288 3844026130336 5766039195504 6589759080576 7688052260672 11532078391008 15376104521344 23064156782016 46128313564032
• Sum of all divisors σ(n): 150707545185600
• Sum of proper divisors (its aliquot sum) s(n): 104579231621568
• 46128313564032 is an abundant number, because the sum of its proper divisors (104579231621568) is greater than itself. Its abundance is 58450918057536

Bases of 46128313564032

• Binary: 1010011111010000010101101111100111101110000000₂
• Hexadecimal: 0x29F415BE7B80
• Base-36: GCN1YWC5C

Squares and roots of 46128313564032

• 46128313564032 squared (46128313564032²) is 2127821312261658594164097024
• 46128313564032 cubed (46128313564032³) is 98152808700235835928309261069004484640768
• The square root of 46128313564032 is 6791782.7971771889
• The cube root of 46128313564032 is 35863.7632623947

Scales and comparisons

• 46,128,313,564,032 seconds is equal to 1,466,737 years, 35 weeks, 5 days, 2 hours, 27 minutes, 12 seconds.
• To count from 1 to 46,128,313,564,032 would take you about three million, six hundred sixty-six thousand, eight hundred forty-four 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 46128313564032 cubic inches would be around 2988.6 feet tall.

Recreational maths with 46128313564032

• 46128313564032 backwards is 23046531382164
• 46128313564032 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 46128313564032's digits is 48
• More coming soon!