12978134400752352
12,978,134,400,752,352 is an even composite number composed of six prime numbers multiplied together.
What does the number 12978134400752352 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 648 divisors.
12978134400752352 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 12978134400752352:
25 × 32 × 132 × 43 × 173 × 59872
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 43 × 173 × 5987 × 5987)See below for interesting mathematical facts about the number 12978134400752352 from the Numbermatics database.
Names of 12978134400752352
- Cardinal: 12978134400752352 can be written as Twelve quadrillion, nine hundred seventy-eight trillion, one hundred thirty-four billion, four hundred million, seven hundred fifty-two thousand, three hundred fifty-two.
Scientific notation
- Scientific notation: 1.2978134400752352 × 1016
Factors of 12978134400752352
Divisors of 12978134400752352
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 43 48 52 72 78 86 96 104 117 129 144 156 169 172 173 208 234 258 288 312 338 344 346 387 416 468 507 516 519 559 624 676 688 692 774 936 1014 1032 1038 1118 1248 1352 1376 1384 1521 1548 1557 1677 1872 2028 2064 2076 2236 2249 2704 2768 3042 3096 3114 3354 3744 4056 4128 4152 4472 4498 5031 5408 5536 5987 6084 6192 6228 6708 6747 7267 7439 8112 8304 8944 8996 10062 11974 12168 12384 12456 13416 13494 14534 14878 16224 16608 17888 17961 17992 20124 20241 21801 22317 23948 24336 24912 26832 26988 29068 29237 29756 35922 35984 40248 40482 43602 44634 47896 48672 49824 53664 53883 53976 58136 58474 59512 65403 66951 71844 71968 77831 80496 80964 87204 87711 89268 95792 96707 107766 107952 116272 116948 119024 130806 133902 143688 155662 160992 161928 174408 175422 178536 191584 193414 215532 215904 232544 233493 233896 238048 257441 261612 263133 267804 287376 290121 311324 323856 348816 350844 357072 386828 431064 466986 467792 514882 523224 526266 535608 574752 580242 622648 647712 697632 700479 701688 714144 772323 773656 862128 870363 933972 935584 1011803 1029764 1035751 1046448 1052532 1071216 1160484 1245296 1257191 1400958 1403376 1544646 1547312 1724256 1740726 1867944 2023606 2059528 2071502 2092896 2105064 2142432 2316969 2320968 2490592 2514382 2801916 2806752 3035409 3089292 3094624 3107253 3346733 3481452 3735888 3771573 4047212 4119056 4143004 4210128 4633938 4641936 5028764 5603832 6070818 6178584 6214506 6693466 6962904 7471776 7543146 8094424 8238112 8286008 8420256 9106227 9267876 9283872 9321759 10040199 10057528 11207664 11314719 12141636 12357168 12429012 13386932 13464763 13925808 15086292 16188848 16572016 18212454 18535752 18643518 20080398 20115056 22415328 22629438 24283272 24714336 24858024 26773864 26929526 27851616 30120597 30172584 32377696 33144032 35844169 36424908 37071504 37287036 40160796 40230112 40394289 43507529 44537293 45258876 48566544 49716048 53547728 53859052 60241194 60345168 71688338 72849816 74143008 74574072 80321592 80788578 87015058 89074586 90517752 97133088 99432096 107095456 107532507 107718104 120482388 120690336 121182867 130522587 133611879 143376676 145699632 149148144 160643184 161577156 174030116 175041919 178149172 181035504 215065014 215436208 240964776 242365734 261045174 267223758 286753352 291399264 298296288 321286368 322597521 323154312 348060232 350083838 356298344 362071008 391567761 400835637 430130028 430872416 465974197 481929552 484731468 522090348 525125757 534447516 573506704 578984809 645195042 646308624 696120464 700167676 712596688 783135522 801671274 860260056 931948394 963859104 969462936 1044180696 1050251514 1068895032 1147013408 1157969618 1290390084 1292617248 1392240928 1397922591 1400335352 1425193376 1541299267 1566271044 1575377271 1603342548 1720520112 1736954427 1863896788 1938925872 2088361392 2100503028 2137790064 2315939236 2580780168 2795845182 2800670704 3082598534 3132542088 3150754542 3206685096 3441040224 3473908854 3727793576 3877851744 4176722784 4193767773 4201006056 4275580128 4623897801 4631878472 5161560336 5210863281 5591690364 5601341408 6057664561 6165197068 6201041237 6265084176 6301509084 6413370192 6947817708 7455587152 7526802517 8387535546 8402012112 9247795602 9263756944 10323120672 10421726562 11183380728 12115329122 12330394136 12402082474 12530168352 12603018168 12826740384 13871693403 13895635416 14911174304 15053605034 16775071092 16804024224 18172993683 18495591204 18527513888 18603123711 20036890471 20843453124 22366761456 22580407551 24230658244 24660788272 24804164948 25206036336 27743386806 27791270832 30107210068 33550142184 36345987366 36991182408 37206247422 40073780942 41686906248 44733522912 45160815102 48461316488 49321576544 49608329896 50412072672 54518981049 55486773612 55582541664 55809371133 60110671413 60214420136 67100284368 67741222653 72691974732 73982364816 74412494844 80147561884 80613536081 83373812496 90321630204 96922632976 99216659792 109037962098 110973547224 111618742266 120221342826 120428840272 134200568736 135482445306 145383949464 147964729632 148824989688 160295123768 161227072162 166747624992 180332014239 180643260408 193845265952 198433319584 218075924196 221947094448 223237484532 240442685652 240857680544 241840608243 260479576123 266644773191 270964890612 290767898928 297649979376 320590247536 322454144324 360664028478 361286520816 436151848392 443894188896 446474969064 480885371304 483681216486 520959152246 533289546382 541929781224 581535797856 595299958752 641180495072 644908288648 721328056956 722573041632 725521824729 781438728369 799934319573 872303696784 892949938128 961770742608 967362432972 1041918304492 1047975969053 1066579092764 1083859562448 1289816577296 1442656113912 1451043649458 1562877456738 1599868639146 1744607393568 1785899876256 1923541485216 1934724865944 2083836608984 2095951938106 2133158185528 2167719124896 2344316185107 2399802958719 2579633154592 2885312227824 2902087298916 3125754913476 3143927907159 3199737278292 3466382051483 3869449731888 4167673217968 4191903876212 4266316371056 4688632370214 4799605917438 5770624455648 5804174597832 6251509826952 6287855814318 6399474556584 6932764102966 7738899463776 8335346435936 8383807752424 8532632742112 9377264740428 9431783721477 9599211834876 10399146154449 11608349195664 12503019653904 12575711628636 12798949113168 13865528205932 16767615504848 18754529480856 18863567442954 19198423669752 20798292308898 23216698391328 25006039307808 25151423257272 25597898226336 27731056411864 31197438463347 33535231009696 37509058961712 37727134885908 38396847339504 41596584617796 45062966669279 50302846514544 55462112823728 62394876926694 75018117923424 75454269771816 76793694679008 83193169235592 90125933338558 100605693029088 110924225647456 124789753853388 135188900007837 150908539543632 166386338471184 180251866677116 249579507706776 270377800015674 301817079087264 332772676942368 360503733354232 405566700023511 499159015413552 540755600031348 721007466708464 811133400047022 998318030827104 1081511200062696 1442014933416928 1622266800094044 2163022400125392 3244533600188088 4326044800250784 6489067200376176 12978134400752352
- Sum of all divisors σ(n): 41136560636154984
- Sum of proper divisors (its aliquot sum) s(n): 28158426235402632
- 12978134400752352 is an abundant number, because the sum of its proper divisors (28158426235402632) is greater than itself. Its abundance is 15180291834650280
Bases of 12978134400752352
- Binary: 1011100001101110001011011000101100110111011010111000002
- Hexadecimal: 0x2E1B8B62CDDAE0
- Base-36: 3JSD4MWPH40
Squares and roots of 12978134400752352
- 12978134400752352 squared (129781344007523522) is 168431972523991610744783633531904
- 12978134400752352 cubed (129781344007523523) is 2185932776800190480110656231224456256152595038208
-
The
square root of 12978134400752352 is 113921615.1603915419 -
The
cube root of 12978134400752352 is 235001.5657101197
Scales and comparisons
How big is 12978134400752352?- 12,978,134,400,752,352 seconds is equal to 412,664,529 years, 48 weeks, 5 days, 14 hours, 19 minutes, 12 seconds.
-
To count from 1 to 12,978,134,400,752,352 would take you about one billion, two hundred thirty-seven million, nine hundred ninety-three thousand, five hundred eighty-nine 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 12978134400752352 cubic inches would be around 19583.5 feet tall.
Recreational maths with 12978134400752352
- 12978134400752352 backwards is 25325700443187921
- The number of decimal digits it has is: 17
- The sum of 12978134400752352's digits is 63
- More coming soon!
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The information we have on file for 12978134400752352 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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