12813149833121664
12,813,149,833,121,664 is an even composite number composed of five prime numbers multiplied together.
What does the number 12813149833121664 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1536 divisors.
12813149833121664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 12813149833121664:
27 × 33 × 133 × 432 × 973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 13 × 43 × 43 × 97 × 97 × 97)See below for interesting mathematical facts about the number 12813149833121664 from the Numbermatics database.
Names of 12813149833121664
- Cardinal: 12813149833121664 can be written as Twelve quadrillion, eight hundred thirteen trillion, one hundred forty-nine billion, eight hundred thirty-three million, one hundred twenty-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.2813149833121664 × 1016
Factors of 12813149833121664
Divisors of 12813149833121664
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 43 48 52 54 64 72 78 86 96 97 104 108 117 128 129 144 156 169 172 192 194 208 216 234 258 288 291 312 338 344 351 384 387 388 416 432 468 507 516 559 576 582 624 676 688 702 774 776 832 864 873 936 1014 1032 1118 1152 1161 1164 1248 1261 1352 1376 1404 1521 1548 1552 1664 1677 1728 1746 1849 1872 2028 2064 2197 2236 2322 2328 2496 2522 2619 2704 2752 2808 3042 3096 3104 3354 3456 3492 3698 3744 3783 4056 4128 4171 4394 4472 4563 4644 4656 4992 5031 5044 5238 5408 5504 5547 5616 6084 6192 6208 6591 6708 6984 7267 7396 7488 7566 8112 8256 8342 8788 8944 9126 9288 9312 9409 10062 10088 10476 10816 11094 11232 11349 12168 12384 12416 12513 13182 13416 13968 14534 14792 14976 15093 15132 16224 16393 16512 16641 16684 17576 17888 18252 18576 18624 18818 19773 20124 20176 20952 21632 21801 22188 22464 22698 24037 24336 24768 25026 26364 26832 27936 28227 29068 29584 30186 30264 32448 32786 33282 33368 34047 35152 35776 36504 37152 37248 37539 37636 39546 40248 40352 41904 43602 44376 44928 45396 48074 48672 49179 49536 49923 50052 52728 53664 54223 55872 56454 58136 59168 59319 60372 60528 64896 65403 65572 66564 66736 68094 70304 71552 72111 73008 74304 75078 75272 79092 80496 80704 83808 84681 87204 88752 90792 94471 96148 97344 98358 99846 100104 105456 107328 108446 111744 112617 112908 116272 118336 118638 120744 121056 122317 130806 131144 133128 133472 136188 140608 144222 146016 147537 148608 150156 150544 158184 160992 161408 162669 167616 169362 174408 177504 179353 181584 188942 192296 194688 196209 196716 199692 200208 210912 213109 214656 216333 216892 225234 225816 232544 236672 237276 241488 242112 244634 254043 261612 262288 266256 266944 272376 281216 283413 288444 292032 295074 300312 301088 312481 316368 321984 325338 335232 338724 348816 355008 358706 363168 366951 377884 384592 392418 393432 399384 400416 404587 421824 426218 432666 433784 442611 450468 451632 465088 474552 482976 484224 488007 489268 508086 523224 524576 532512 533888 538059 544752 566826 576888 584064 590148 600624 602176 624962 632736 639327 643968 648999 650676 677448 697632 704899 710016 717412 726336 733902 755768 769184 784836 786864 798768 800832 809174 843648 850239 852436 865332 867568 885222 900936 903264 912673 930176 937443 949104 965952 976014 978536 1016172 1046448 1049152 1065024 1076118 1089504 1100853 1133652 1153776 1180296 1201248 1204352 1213761 1249924 1265472 1278654 1297998 1301352 1354896 1395264 1409798 1434824 1452672 1464021 1467804 1511536 1538368 1569672 1573728 1590121 1597536 1601664 1614177 1618348 1700478 1704872 1730664 1735136 1770444 1801872 1806528 1825346 1874886 1898208 1917981 1931904 1952028 1957072 2032344 2092896 2098304 2114697 2130048 2152236 2179008 2201706 2267304 2307552 2331589 2360592 2402496 2427522 2499848 2530944 2550717 2557308 2595996 2602704 2709792 2738019 2790528 2812329 2819596 2869648 2928042 2935608 3023072 3076736 3139344 3147456 3180242 3195072 3228354 3236696 3302559 3400956 3409744 3461328 3470272 3540888 3603744 3613056 3641283 3650692 3749772 3796416 3835962 3904056 3914144 4062253 4064688 4185792 4229394 4304472 4358016 4403412 4534608 4615104 4663178 4721184 4770363 4804992 4842531 4855044 4999696 5101434 5114616 5191992 5205408 5259631 5419584 5476038 5624658 5639192 5739296 5753943 5856084 5871216 6046144 6278688 6294912 6344091 6360484 6390144 6456708 6473392 6605118 6801912 6819488 6922656 6940544 6994767 7081776 7207488 7282566 7301384 7499544 7592832 7671924 7808112 7828288 8124506 8129376 8214057 8371584 8436987 8458788 8608944 8806824 9069216 9163687 9230208 9326356 9442368 9540726 9685062 9710088 9999392 10202868 10229232 10383984 10410816 10519262 10839168 10923849 10952076 11249316 11278384 11478592 11507886 11712168 11742432 11864749 12092288 12186759 12557376 12688182 12720968 12913416 12946784 13210236 13603824 13638976 13845312 13989534 14163552 14311089 14414976 14565132 14602768 14999088 15343848 15616224 15656576 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517326785898 526510101624 533059443072 564505675968 570385943426 577481063328 587732206464 592323864327 611547815632 635068885464 636709890336 648012432768 680898598848 687991292586 689769047864 702013468832 716298626628 729013986864 767990280096 769974751104 775990178847 781623243648 789765152436 846758513952 848946520448 855578915139 866221594992 881598309696 917321723448 955064835504 972018649152 1023987040128 1031986938879 1034653571796 1053020203248 1129011351936 1140771886852 1154962126656 1184647728654 1223095631264 1270137770928 1273419780672 1361797197696 1375982585172 1379538095728 1404026937664 1432597253256 1458027973728 1535980560192 1551980357694 1579530304872 1693517027904 1711157830278 1732443189984 1763196619392 1834643446896 1910129671008 1944037298304 2063973877758 2069307143592 2106040406496 2281543773704 2309924253312 2327970536541 2369295457308 2446191262528 2540275541856 2546839561344 2566736745417 2751965170344 2759076191456 2808053875328 2865194506512 2916055947456 3071961120384 3103960715388 3159060609744 3387034055808 3422315660556 3464886379968 3669286893792 3707508632269 3820259342016 4127947755516 4138614287184 4212080812992 4563087547408 4655941073082 4738590914616 4892382525056 5080551083712 5133473490834 5503930340688 5518152382912 5730389013024 5832111894912 6207921430776 6318121219488 6844631321112 6929772759936 7338573787584 7415017264538 7640518684032 7700210236251 8255895511032 8277228574368 8424161625984 9126175094816 9311882146164 9477181829232 10161102167424 10266946981668 11007860681376 11036304765824 11122525896807 11460778026048 12415842861552 12636242438976 13689262642224 14677147575168 14830034529076 15400420472502 16511791022064 16554457148736 18252350189632 18623764292328 18954363658464 20533893963336 22015721362752 22245051793614 22921556052096 24831685723104 25272484877952 27378525284448 29660069058152 30800840945004 33023582044128 33108914297472 33367577690421 36504700379264 37247528584656 37908727316928 41067787926672 44031442725504 44490103587228 49663371446208 54757050568896 59320138116304 61601681890008 66047164088256 66735155380842 74495057169312 75817454633856 82135575853344 88980207174456 99326742892416 100102733071263 109514101137792 118640276232608 123203363780016 132094328176512 133470310761684 148990114338624 164271151706688 177960414348912 200205466142526 237280552465216 246406727560032 266940621523368 297980228677248 328542303413376 355920828697824 400410932285052 474561104930432 492813455120064 533881243046736 711841657395648 800821864570104 985626910240128 1067762486093472 1423683314791296 1601643729140208 2135524972186944 3203287458280416 4271049944373888 6406574916560832 12813149833121664
- Sum of all divisors σ(n): 42378291300240000
- Sum of proper divisors (its aliquot sum) s(n): 29565141467118336
- 12813149833121664 is an abundant number, because the sum of its proper divisors (29565141467118336) is greater than itself. Its abundance is 16751991633996672
Bases of 12813149833121664
- Binary: 1011011000010101111101111011000100000111001111100000002
- Hexadecimal: 0x2D857DEC41CF80
- Base-36: 3I5VRRSWYO0
Squares and roots of 12813149833121664
- 12813149833121664 squared (128131498331216642) is 164176808646025726011579026128896
- 12813149833121664 cubed (128131498331216643) is 2103622048305271894606077628639239169509314002944
-
The
square root of 12813149833121664 is 113195184.6728546311 -
The
cube root of 12813149833121664 is 234001.4965273179
Scales and comparisons
How big is 12813149833121664?- 12,813,149,833,121,664 seconds is equal to 407,418,531 years, 6 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 12,813,149,833,121,664 would take you about one billion, two hundred twenty-two million, two hundred fifty-five thousand, five hundred ninety-three 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 12813149833121664 cubic inches would be around 19500.1 feet tall.
Recreational maths with 12813149833121664
- 12813149833121664 backwards is 46612133894131821
- The number of decimal digits it has is: 17
- The sum of 12813149833121664's digits is 63
- More coming soon!
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"Number 12813149833121664 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 12813149833121664 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/12813149833121664/
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The information we have on file for 12813149833121664 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!
Keywords: Divisors of 12813149833121664, math, Factors of 12813149833121664, curriculum, school, college, exams, university, Prime factorization of 12813149833121664, STEM, science, technology, engineering, physics, economics, calculator, twelve quadrillion, eight hundred thirteen trillion, one hundred forty-nine billion, eight hundred thirty-three million, one hundred twenty-one thousand, six hundred sixty-four.