13378825896583680
13,378,825,896,583,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 13378825896583680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2520 divisors.
13378825896583680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 13378825896583680:
29 × 36 × 5 × 13 × 232 × 10212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 23 × 23 × 1021 × 1021)See below for interesting mathematical facts about the number 13378825896583680 from the Numbermatics database.
Names of 13378825896583680
- Cardinal: 13378825896583680 can be written as Thirteen quadrillion, three hundred seventy-eight trillion, eight hundred twenty-five billion, eight hundred ninety-six million, five hundred eighty-three thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.337882589658368 × 1016
Factors of 13378825896583680
Divisors of 13378825896583680
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 26 27 30 32 36 39 40 45 46 48 52 54 60 64 65 69 72 78 80 81 90 92 96 104 108 115 117 120 128 130 135 138 144 156 160 162 180 184 192 195 207 208 216 230 234 240 243 256 260 270 276 288 299 312 320 324 345 351 360 368 384 390 405 414 416 432 460 468 480 486 512 520 529 540 552 576 585 598 621 624 640 648 690 702 720 729 736 768 780 810 828 832 864 897 920 936 960 972 1021 1035 1040 1053 1058 1080 1104 1152 1170 1196 1215 1242 1248 1280 1296 1380 1404 1440 1458 1472 1495 1536 1560 1587 1620 1656 1664 1728 1755 1794 1840 1863 1872 1920 1944 2042 2070 2080 2106 2116 2160 2208 2304 2340 2392 2430 2484 2496 2560 2592 2645 2691 2760 2808 2880 2916 2944 2990 3063 3105 3120 3159 3174 3240 3312 3328 3456 3510 3588 3645 3680 3726 3744 3840 3888 4084 4140 4160 4212 4232 4320 4416 4485 4608 4680 4761 4784 4860 4968 4992 5105 5184 5265 5290 5382 5520 5589 5616 5760 5832 5888 5980 6126 6210 6240 6318 6348 6480 6624 6656 6877 6912 7020 7176 7290 7360 7452 7488 7680 7776 7935 8073 8168 8280 8320 8424 8464 8640 8832 8970 9189 9315 9360 9477 9522 9568 9720 9936 9984 10210 10368 10530 10580 10764 11040 11178 11232 11520 11664 11776 11960 12252 12420 12480 12636 12696 12960 13248 13273 13455 13754 13824 14040 14283 14352 14580 14720 14904 14976 15315 15552 15795 15870 16146 16336 16560 16640 16767 16848 16928 17280 17664 17940 18378 18630 18720 18954 19044 19136 19440 19872 19968 20420 20631 20736 21060 21160 21528 22080 22356 22464 23040 23328 23483 23805 23920 24219 24504 24840 24960 25272 25392 25920 26496 26546 26910 27508 27567 27945 28080 28566 28704 29160 29440 29808 29952 30630 31104 31590 31740 32292 32672 33120 33280 33534 33696 33856 34385 34560 35328 35880 36756 37260 37440 37908 38088 38272 38880 39744 39819 40365 40840 41262 41472 42120 42320 42849 43056 44160 44712 44928 45945 46656 46966 47385 47610 47840 48438 49008 49680 49920 50544 50784 51840 52992 53092 53820 55016 55134 55890 56160 57132 57408 58320 58880 59616 59904 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897666793920 908887628844 917614944896 932192439840 936695784960 952907827392 967797012195 972722545920 994338602496 1007973020160 1009875143160 1032316813008 1053782758080 1058786474880 1072021305816 1077200152704 1091970771840 1118630927808 1136109536055 1147018681120 1161356414634 1191134784240 1196889058560 1211850171792 1242923253120 1264539309696 1270543769856 1290396016260 1310364926208 1340026632270 1346500190880 1376422417344 1398288659760 1405043677440 1411715299840 1429361741088 1436266870272 1455961029120 1491507903744 1514812714740 1548475219512 1580674137120 1588179712320 1608031958724 1615800229056 1637956157760 1657231004160 1686052412928 1720528021680 1742034621951 1786702176360 1795333587840 1817775257688 1835229889792 1864384879680 1905815654784 1935594024390 1945445091840 2010039948405 2019750286320 2064633626016 2107565516160 2117572949760 2144042611632 2154400305408 2183941543680 2237261855616 2272219072110 2294037362240 2322712829268 2382269568480 2393778117120 2423700343584 2485846506240 2529078619392 2541087539712 2580792032520 2620729852416 2680053264540 2693000381760 2752844834688 2796577319520 2810087354880 2858723482176 2903391036585 2983015807488 3029625429480 3096950439024 3161348274240 3176359424640 3216063917448 3231600458112 3275912315520 3441056043360 3484069243902 3573404352720 3590667175680 3635550515376 3670459779584 3728769759360 3811631309568 3871188048780 4020079896810 4039500572640 4129267252032 4215131032320 4235145899520 4288085223264 4308800610816 4367883087360 4474523711232 4544438144220 4588074724480 4645425658536 4764539136960 4847400687168 4971693012480 5058157238784 5161584065040 5226103865853 5360106529080 5386000763520 5505689669376 5593154639040 5717446964352 5806782073170 6059250858960 6193900878048 6322696548480 6352718849280 6432127834896 6463200916224 6551824631040 6882112086720 6968138487804 7146808705440 7181334351360 7271101030752 7457539518720 7623262619136 7742376097560 8040159793620 8079001145280 8258534504064 8430262064640 8576170446528 8710173109755 8949047422464 9088876288440 9176149448960 9290851317072 9529078273920 9694801374336 10323168130080 10452207731706 10720213058160 10772001527040 11011379338752 11186309278080 11434893928704 11613564146340 12118501717920 12387801756096 12645393096960 12705437698560 12864255669792 12926401832448 13103649262080 13764224173440 13936276975608 14293617410880 14542202061504 14915079037440 15484752195120 16080319587240 16158002290560 16517069008128 17152340893056 17420346219510 18177752576880 18352298897920 18581702634144 19058156547840 19389602748672 20646336260160 20904415463412 21440426116320 21544003054080 22372618556160 22869787857408 23227128292680 24237003435840 24775603512192 25290786193920 25728511339584 26130519329265 27528448346880 27872553951216 28587234821760 29084404123008 30969504390240 32160639174480 32316004581120 33034138016256 34304681786112 34840692439020 36355505153760 37163405268288 38116313095680 38779205497344 41292672520320 41808830926824 42880852232640 44745237112320 46454256585360 48474006871680 49551207024384 51457022679168 52261038658530 55056896693760 55745107902432 57174469643520 58168808246016 61939008780480 64321278348960 64632009162240 68609363572224 69681384878040 72711010307520 74326810536576 82585345040640 83617661853648 85761704465280 92908513170720 96948013743360 99102414048768 102914045358336 104522077317060 111490215804864 114348939287040 116337616492032 123878017560960 128642556697920 139362769756080 145422020615040 148653621073152 165170690081280 167235323707296 171523408930560 185817026341440 193896027486720 205828090716672 209044154634120 222980431609728 247756035121920 257285113395840 278725539512160 290844041230080 297307242146304 334470647414592 343046817861120 371634052682880 418088309268240 445960863219456 495512070243840 514570226791680 557451079024320 581688082460160 668941294829184 743268105365760 836176618536480 891921726438912 1029140453583360 1114902158048640 1337882589658368 1486536210731520 1672353237072960 2229804316097280 2675765179316736 3344706474145920 4459608632194560 6689412948291840 13378825896583680
- Sum of all divisors σ(n): 54197252043683364
- Sum of proper divisors (its aliquot sum) s(n): 40818426147099684
- 13378825896583680 is an abundant number, because the sum of its proper divisors (40818426147099684) is greater than itself. Its abundance is 27439600250516004
Bases of 13378825896583680
- Binary: 1011111000011111111000101001010001001111100010000000002
- Hexadecimal: 0x2F87F8A513E200
- Base-36: 3NQEBRNS000
Squares and roots of 13378825896583680
- 13378825896583680 squared (133788258965836802) is 178992982371098109014295242342400
- 13378825896583680 cubed (133788258965836803) is 2394715947853193486787446766709560665840812032000
-
The
square root of 13378825896583680 is 115666874.6728452071 -
The
cube root of 13378825896583680 is 237395.6011499825
Scales and comparisons
How big is 13378825896583680?- 13,378,825,896,583,680 seconds is equal to 425,405,280 years, 4 weeks, 3 days, 4 hours, 48 minutes.
-
To count from 1 to 13,378,825,896,583,680 would take you about one billion, two hundred seventy-six million, two hundred fifteen thousand, eight hundred forty 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 13378825896583680 cubic inches would be around 19783 feet tall.
Recreational maths with 13378825896583680
- 13378825896583680 backwards is 08638569852887331
- 13378825896583680 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13378825896583680's digits is 90
- More coming soon!
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"Number 13378825896583680 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 13378825896583680 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/13378825896583680/
Chicago style:
Numbermatics. 2024. "Number 13378825896583680 - Facts about the integer". https://numbermatics.com/n/13378825896583680/
The information we have on file for 13378825896583680 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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