105964838648064

Names of 105964838648064

• Cardinal: 105964838648064 can be written as One hundred five trillion, nine hundred sixty-four billion, eight hundred thirty-eight million, six hundred forty-eight thousand and sixty-four.

Scientific notation

• Scientific notation: 1.05964838648064 × 10¹⁴

Factors of 105964838648064

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 195

Divisors of 105964838648064

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 179 192 198 216 243 256 264 288 297 324 352 358 384 396 432 486 528 537 576 594 648 704 716 729 768 792 864 891 972 1056 1074 1152 1188 1296 1408 1432 1458 1584 1611 1728 1782 1944 1969 2112 2148 2187 2304 2376 2592 2673 2816 2864 2916 3168 3222 3456 3564 3888 3938 4224 4296 4374 4752 4833 5184 5346 5728 5832 5907 6336 6444 6561 6912 7128 7776 7876 8019 8448 8592 8748 9504 9666 10368 10692 11456 11664 11814 12672 12888 13122 14256 14499 15552 15752 16038 17184 17496 17721 19008 19332 20736 21384 22912 23328 23628 24057 25344 25776 26244 28512 28998 31104 31504 32041 32076 34368 34992 35442 38016 38664 42768 43497 45824 46656 47256 48114 51552 52488 53163 57024 57996 62208 63008 64082 64152 68736 69984 70884 72171 76032 77328 85536 86994 93312 94512 96123 96228 103104 104976 106326 114048 115992 126016 128164 128304 130491 137472 139968 141768 144342 154656 159489 171072 173988 186624 189024 192246 192456 206208 209952 212652 228096 231984 252032 256328 256608 260982 279936 283536 288369 288684 309312 318978 342144 347976 352451 378048 384492 384912 391473 412416 419904 425304 463968 478467 504064 512656 513216 521964 559872 567072 576738 577368 618624 637956 684288 695952 704902 756096 768984 769824 782946 839808 850608 865107 927936 956934 1025312 1026432 1043928 1057353 1134144 1153476 1154736 1174419 1237248 1275912 1391904 1409804 1435401 1512192 1537968 1539648 1565892 1679616 1701216 1730214 1855872 1913868 2050624 2052864 2087856 2114706 2268288 2306952 2309472 2348838 2551824 2595321 2783808 2819608 2870802 3075936 3079296 3131784 3172059 3402432 3460428 3711744 3827736 4101248 4175712 4229412 4306203 4536576 4613904 4618944 4697676 5103648 5190642 5567616 5639216 5735339 5741604 6151872 6158592 6263568 6344118 6804864 6920856 7655472 7785963 8202496 8351424 8458824 8612406 9227808 9237888 9395352 9516177 10207296 10381284 11135232 11278432 11470678 11483208 12303744 12527136 12688236 12918609 13609728 13841712 15310944 15571926 16702848 16917648 17206017 17224812 18455616 18475776 18790704 19032354 20414592 20762568 22556864 22941356 22966416 23357889 24607488 25054272 25376472 25837218 27683424 28548531 30621888 31143852 33405696 33835296 34412034 34449624 36911232 37581408 38064708 40829184 41525136 45113728 45882712 45932832 46715778 50108544 50752944 51618051 51674436 55366848 57097062 61243776 62287704 63088729 67670592 68824068 68899248 70073667 73822464 75162816 76129416 83050272 85645593 90227456 91765424 91865664 93431556 100217088 101505888 103236102 103348872 110733696 114194124 122487552 124575408 126177458 135341184 137648136 137798496 140147334 150325632 152258832 154854153 166100544 171291186 183530848 183731328 186863112 189266187 203011776 206472204 206697744 210221001 221467392 228388248 249150816 252354916 256936779 270682368 275296272 275596992 280294668 300651264 304517664 309708306 332201088 342582372 367061696 367462656 373726224 378532374 406023552 412944408 413395488 420442002 456776496 464562459 498301632 504709832 513873558 550592544 551193984 560589336 567798561 609035328 619416612 664402176 685164744 734123392 747452448 757064748 770810337 812047104 825888816 826790976 840884004 913552992 929124918 996603264 1009419664 1027747116 1101185088 1102387968 1121178672 1135597122 1218070656 1238833224 1370329488 1393687377 1468246784 1494904896 1514129496 1541620674 1651777632 1653581952 1681768008 1703395683 1827105984 1858249836 1993206528 2018839328 2055494232 2202370176 2242357344 2271194244 2312431011 2436141312 2477666448 2740658976 2787374754 2989809792 3028258992 3083241348 3303555264 3307163904 3363536016 3406791366 3654211968 3716499672 4037678656 4110988464 4181062131 4404740352 4484714688 4542388488 4624862022 4955332896 5110187049 5481317952 5574749508 5979619584 6056517984 6166482696 6607110528 6727072032 6813582732 7308423936 7432999344 8075357312 8221976928 8362124262 8969429376 9084776976 9249724044 9910665792 10220374098 10962635904 11149499016 12113035968 12332965392 12543186393 13214221056 13454144064 13627165464 14865998688 15330561147 16150714624 16443953856 16724248524 17938858752 18169553952 18499448088 19821331584 20440748196 21925271808 22298998032 24226071936 24665930784 25086372786 26908288128 27254330928 29731997376 30661122294 32887907712 33448497048 36339107904 36998896176 37629559179 39642663168 40881496392 44597996064 45991683441 48452143872 49331861568 50172745572 53816576256 54508661856 59463994752 61322244588 65775815424 66896994096 72678215808 73997792352 75259118358 81762992784 89195992128 91983366882 98663723136 100345491144 109017323712 118927989504 122644489176 133793988192 137975050323 145356431616 147995584704 150518236716 163525985568 178391984256 183966733764 197327446272 200690982288 218034647424 245288978352 267587976384 275950100646 295991169408 301036473432 327051971136 356783968512 367933467528 401381964576 413925150969 436069294848 490577956704 535175952768 551900201292 591982338816 602072946864 654103942272 735866935056 802763929152 827850301938 981155913408 1070351905536 1103800402584 1204145893728 1308207884544 1471733870112 1605527858304 1655700603876 1962311826816 2207600805168 2408291787456 2943467740224 3211055716608 3311401207752 3924623653632 4415201610336 4816583574912 5886935480448 6622802415504 8830403220672 9633167149824 11773870960896 13245604831008 17660806441344 26491209662016 35321612882688 52982419324032 105964838648064
• Sum of all divisors σ(n): 348043477410720
• Sum of proper divisors (its aliquot sum) s(n): 242078638762656
• 105964838648064 is an abundant number, because the sum of its proper divisors (242078638762656) is greater than itself. Its abundance is 136113800114592

Bases of 105964838648064

• Binary: 11000000101111111011100100100001111100100000000₂
• Hexadecimal: 0x605FDC90F900
• Base-36: 11K7KP0000

Squares and roots of 105964838648064

• 105964838648064 squared (105964838648064²) is 11228547029710237967250948096
• 105964838648064 cubed (105964838648064³) is 1189831174255443655403331678347566874886144
• The square root of 105964838648064 is 10293922.4131554439
• The cube root of 105964838648064 is 47321.0014574499

Scales and comparisons

• 105,964,838,648,064 seconds is equal to 3,369,354 years, 5 weeks, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 105,964,838,648,064 would take you about eight million, four hundred twenty-three thousand, three hundred eighty-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 105964838648064 cubic inches would be around 3943.4 feet tall.

Recreational maths with 105964838648064

• 105964838648064 backwards is 460846838469501
• 105964838648064 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 105964838648064's digits is 72
• More coming soon!