12137716390729344
12,137,716,390,729,344 is an even composite number composed of six prime numbers multiplied together.
12137716390729344 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 12137716390729344:
27 × 3 × 232 × 31 × 432 × 10212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 23 × 23 × 31 × 43 × 43 × 1021 × 1021)See below for interesting mathematical facts about the number 12137716390729344 from the Numbermatics database.
Names of 12137716390729344
- Cardinal: 12137716390729344 can be written as Twelve quadrillion, one hundred thirty-seven trillion, seven hundred sixteen billion, three hundred ninety million, seven hundred twenty-nine thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.2137716390729344 × 1016
Factors of 12137716390729344
Divisors of 12137716390729344
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 12 16 23 24 31 32 43 46 48 62 64 69 86 92 93 96 124 128 129 138 172 184 186 192 248 258 276 344 368 372 384 496 516 529 552 688 713 736 744 989 992 1021 1032 1058 1104 1333 1376 1426 1472 1488 1587 1849 1978 1984 2042 2064 2116 2139 2208 2666 2752 2852 2944 2967 2976 3063 3174 3698 3956 3968 3999 4084 4128 4232 4278 4416 5332 5504 5547 5704 5934 5952 6126 6348 7396 7912 7998 8168 8256 8464 8556 8832 10664 11094 11408 11868 11904 12252 12696 14792 15824 15996 16336 16399 16512 16928 17112 21328 22188 22747 22816 23483 23736 24504 25392 29584 30659 31648 31651 31992 32672 32798 33856 34224 42527 42656 43903 44376 45494 45632 46966 47472 49008 49197 50784 57319 59168 61318 63296 63302 63984 65344 65596 67712 68241 68448 70449 85054 85312 87806 88752 90988 91264 91977 93932 94944 94953 98016 98394 101568 114638 118336 122636 126592 126604 127581 127968 130688 131192 131709 136482 136896 140898 170108 170624 171957 175612 177504 181976 183954 187864 189888 189906 196032 196788 203136 229276 236672 245272 253208 255162 255936 262384 263418 272964 273792 281796 340216 343914 351224 355008 363952 367908 375728 379776 379812 392064 393576 458552 490544 506416 510324 511872 524768 526836 540109 545928 563592 680432 687828 702448 705157 710016 727904 727973 735816 751456 759624 787152 917104 978121 981088 1009769 1012832 1020648 1042441 1049536 1053672 1080218 1091856 1127184 1318337 1360864 1360993 1375656 1404896 1410314 1455808 1455946 1471632 1502912 1519248 1574304 1620327 1834208 1887829 1956242 1962176 2019538 2025664 2041296 2084882 2099072 2107344 2115471 2160436 2183712 2183919 2254368 2636674 2721728 2721986 2751312 2809792 2820628 2911616 2911892 2934363 2943264 3005824 3029307 3038496 3127323 3148608 3240654 3668416 3775658 3912484 3924352 3955011 4039076 4051328 4082592 4082979 4169764 4214688 4230942 4320872 4367424 4367838 4508736 5273348 5443456 5443972 5502624 5619584 5641256 5663487 5823784 5868726 5886528 6058614 6076992 6254646 6297216 6481308 7336832 7551316 7824968 7910022 8078152 8165184 8165958 8339528 8429376 8461884 8641744 8734848 8735676 9017472 10546696 10887944 11005248 11282512 11326974 11647568 11737452 11773056 12117228 12153984 12509292 12962616 15102632 15649936 15820044 16156304 16330368 16331916 16679056 16743379 16858752 16923768 17283488 17471352 21093392 21775888 22010496 22565024 22653948 23224687 23295136 23474904 23976143 24234456 25018584 25925232 30205264 30321751 31299872 31302839 31640088 32312608 32315671 32663832 33358112 33486758 33847536 34566976 34942704 42186784 43420067 43551776 44824963 45130048 45307896 46449374 46590272 46949808 47952286 48468912 50037168 50230137 51850464 58522699 60410528 60643502 62599744 62605678 63280176 64625216 64631342 65327664 66716224 66973516 67695072 69133952 69674061 69885408 71928429 84373568 86840134 87103552 89649926 90260096 90615792 90965253 92898748 93180544 93899616 93908517 95904572 96937824 96947013 100074336 100460274 103700928 117045398 120821056 121287004 125199488 125211356 126560352 129250432 129262684 130260201 130655328 133432448 133947032 134474889 135390144 139348122 139770816 143856858 168747136 173680268 174207104 175568097 179299852 181231584 181930506 185797496 187799232 187817034 191809144 193875648 193894026 200148672 200920548 207401856 234090796 241642112 242574008 250422712 253120704 258525368 260520402 261310656 267894064 268949778 270780288 278696244 279541632 287713716 347360536 351136194 358599704 362463168 363861012 371594992 375598464 375634068 383618288 387751296 387788052 400297344 401841096 468181592 485148016 500845424 506241408 517050736 521040804 522621312 535788128 537899556 551451289 557392488 575427432 694721072 702272388 717199408 719965297 724926336 727722024 743189984 743260433 751268136 767236576 775576104 803682192 936363184 970296032 998661541 1001690848 1030974149 1034101472 1042081608 1071576256 1075799112 1102902578 1114784976 1150854864 1346022077 1389442144 1389573853 1404544776 1434398816 1439930594 1455444048 1486379968 1486520866 1502536272 1534473152 1551152208 1607364384 1654353867 1872726368 1927473409 1940592064 1997323082 2003381696 2061948298 2068202944 2084163216 2143152512 2151598224 2159895891 2205805156 2229569952 2229781299 2301709728 2692044154 2778884288 2779147706 2809089552 2868797632 2879861188 2910888096 2972759936 2973041732 2995984623 3005072544 3068946304 3092922447 3102304416 3214728768 3308707734 3745452736 3854946818 3881184128 3994646164 4006763392 4038066231 4123896596 4136405888 4168326432 4168721559 4303196448 4319791782 4411610312 4459139904 4459562598 4603419456 5384088308 5557768576 5558295412 5618179104 5737595264 5759722376 5782420227 5821776192 5946083464 5991969246 6010145088 6185844894 6204608832 6429457536 6617415468 7490905472 7709893636 7989292328 8076132462 8247793192 8336652864 8337443118 8606392896 8639583564 8823220624 8918279808 8919125196 9206838912 10768176616 11116590824 11236358208 11519444752 11564840454 11643552384 11892166928 11983938492 12020290176 12371689788 12409217664 13234830936 15419787272 15978584656 16152264924 16495586384 16673305728 16674886236 17094989959 17212785792 17279167128 17646441248 17838250392 21536353232 22233181648 22472716416 23038889504 23129680908 23712405427 23784333856 23967876984 24743379576 26469661872 30839574544 30958507771 31957169312 31960198619 32304529848 32991172768 33349772472 34189979918 34558334256 35292882496 35676500784 43072706464 44331888407 44466363296 46077779008 46259361816 47424810854 47568667712 47935753968 49486759152 51284969877 52939323744 59751675679 61679149088 61917015542 63914338624 63920397238 64609059696 65982345536 66699544944 68379959836 69116668512 70585764992 71137216281 71353001568 86145412928 88663776814 88932726592 92155558016 92518723632 92875523313 94849621708 95137335424 95871507936 95880595857 98973518304 102569939754 105878647488 119503351358 123358298176 123834031084 127828677248 127840794476 129218119392 131964691072 132995665221 133399089888 136759919672 138233337024 142274432562 142706003136 172290825856 177327553628 177865453184 179255027037 185037447264 185751046626 189699243416 191743015872 191761191714 197947036608 205139879508 211757294976 239006702716 246716596352 247668062168 255681588952 258436238784 265991330442 266798179776 273519839344 276466674048 284548865124 285412006272 354655107256 358510054074 370074894528 371502093252 379398486832 383486031744 383522383428 395894073216 410279759016 478013405432 495336124336 511363177904 516872477568 531982660884 533596359552 547039678688 569097730248 709310214512 717020108148 735084568237 740149789056 743004186504 758796973664 767044766856 820559518032 956026810864 990672248672 1019633433361 1022726355808 1063965321768 1094079357376 1138195460496 1374288540617 1418620429024 1434040216296 1470169136474 1486008373008 1517593947328 1534089533712 1641119036064 1912053621728 1981344497344 2039266866722 2045452711616 2127930643536 2188158714752 2205253704711 2276390920992 2748577081234 2837240858048 2868080432592 2940338272948 2972016746016 3035187894656 3058900300083 3068179067424 3282238072128 3824107243456 3962688994688 4078533733444 4090905423232 4122865621851 4255861287072 4410507409422 4552781841984 5497154162468 5674481716096 5736160865184 5880676545896 5944033492032 6117800600166 6136358134848 6564476144256 7648214486912 8157067466888 8245731243702 8511722574144 8821014818844 9105563683968 10994308324936 11472321730368 11761353091792 11888066984064 12235601200332 12272716269696 16314134933776 16491462487404 17023445148288 17642029637688 21988616649872 22944643460736 23522706183584 24471202400664 31608636434191 32628269867552 32982924974808 35284059275376 43977233299744 47045412367168 48942404801328 63217272868382 65256539735104 65965849949616 70568118550752 87954466599488 94090824734336 94825909302573 97884809602656 126434545736764 130513079470208 131931699899232 141136237101504 175908933198976 189651818605146 195769619205312 252869091473528 263863399798464 282272474203008 379303637210292 391539238410624 505738182947056 527726799596928 758607274420584 1011476365894112 1517214548841168 2022952731788224 3034429097682336 4045905463576448 6068858195364672 12137716390729344
- Sum of all divisors σ(n): 35653564012913280
- Sum of proper divisors (its aliquot sum) s(n): 23515847622183936
- 12137716390729344 is an abundant number, because the sum of its proper divisors (23515847622183936) is greater than itself. Its abundance is 11378131231454592
Bases of 12137716390729344
- Binary: 1010110001111100110000010100011101101010010110100000002
- Hexadecimal: 0x2B1F3051DA9680
- Base-36: 3BIGLXKHMYO
Squares and roots of 12137716390729344
- 12137716390729344 squared (121377163907293442) is 147324159181779773346028262670336
- 12137716390729344 cubed (121377163907293443) is 1788178861651107335866848372228248071216073539584
-
The
square root of 12137716390729344 is 110171304.7518696857 -
The
cube root of 12137716390729344 is 229815.3299681343
Scales and comparisons
How big is 12137716390729344?- 12,137,716,390,729,344 seconds is equal to 385,941,836 years, 41 weeks, 5 days, 9 hours, 42 minutes, 24 seconds.
-
To count from 1 to 12,137,716,390,729,344 would take you about one billion, one hundred fifty-seven million, eight hundred twenty-five thousand, five hundred ten 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 12137716390729344 cubic inches would be around 19151.3 feet tall.
Recreational maths with 12137716390729344
- 12137716390729344 backwards is 44392709361773121
- 12137716390729344 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12137716390729344's digits is 69
- More coming soon!
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The information we have on file for 12137716390729344 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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