12368135824512
12,368,135,824,512 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12368135824512 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
12368135824512 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 12368135824512:
27 × 3 × 132 × 61 × 73 × 127 × 337
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 61 × 73 × 127 × 337)See below for interesting mathematical facts about the number 12368135824512 from the Numbermatics database.
Names of 12368135824512
- Cardinal: 12368135824512 can be written as Twelve trillion, three hundred sixty-eight billion, one hundred thirty-five million, eight hundred twenty-four thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.2368135824512 × 1013
Factors of 12368135824512
Divisors of 12368135824512
- Number of divisors d(n): 768
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 64 73 78 96 104 122 127 128 146 156 169 183 192 208 219 244 254 292 312 337 338 366 381 384 416 438 488 507 508 584 624 674 676 732 762 793 832 876 949 976 1011 1014 1016 1168 1248 1348 1352 1464 1524 1586 1651 1664 1752 1898 1952 2022 2028 2032 2336 2379 2496 2696 2704 2847 2928 3048 3172 3302 3504 3796 3904 4044 4056 4064 4381 4453 4672 4758 4953 4992 5392 5408 5694 5856 6096 6344 6604 7008 7592 7747 7808 8088 8112 8128 8762 8906 9271 9344 9516 9906 10309 10784 10816 11388 11712 12192 12337 12688 13143 13208 13359 14016 15184 15494 16176 16224 16256 17524 17812 18542 19032 19812 20557 20618 21463 21568 21632 22776 23241 23424 24384 24601 24674 25376 26286 26416 26718 27813 28032 30368 30927 30988 32352 32448 35048 35624 37011 37084 38064 39624 41114 41236 42799 42926 43136 45552 46482 48768 49202 49348 50752 52572 52832 53436 55626 56953 57889 60736 61671 61854 61976 64389 64704 64896 70096 71248 73803 74022 74168 76128 79248 82228 82472 85598 85852 91104 92964 98404 98696 100711 101504 105144 105664 106872 111252 113906 115778 120523 121472 123342 123708 123952 128397 128778 129408 140192 142496 147606 148044 148336 152256 158496 164456 164944 170859 171196 171704 173667 182208 185928 196808 197392 201422 210288 211328 213744 222504 227812 231556 241046 246684 247416 247904 256794 257556 267241 280384 284992 295212 296088 296672 302133 304512 316992 319813 328912 329888 341718 342392 343408 347334 361569 364416 371856 393616 394784 402844 420576 427488 445008 455624 463112 482092 493368 494832 495808 513588 515112 534482 556387 560768 565531 569984 590424 592176 593344 604266 633984 639626 657824 659776 683436 684784 686816 694668 723138 743712 752557 787232 789568 801723 805688 841152 854976 890016 911248 926224 959439 964184 986736 989664 991616 1027176 1030224 1068964 1112774 1131062 1180848 1184352 1186688 1208532 1279252 1309243 1315648 1319552 1366872 1369568 1373632 1389336 1446276 1487424 1500661 1505114 1566799 1574464 1579136 1603446 1611376 1669161 1682304 1696593 1709952 1780032 1822496 1852448 1918878 1928368 1973472 1979328 2054352 2060448 2137928 2225548 2257671 2262124 2361696 2368704 2417064 2558504 2610739 2618486 2631296 2733744 2739136 2747264 2778672 2892552 2974848 3001322 3010228 3124327 3133598 3148928 3206892 3222752 3338322 3393186 3474133 3560064 3644992 3704896 3837756 3856736 3927729 3946944 3958656 4108704 4120896 4157569 4275856 4451096 4501983 4515342 4524248 4700397 4723392 4737408 4834128 5117008 5221478 5236972 5467488 5478272 5557344 5785104 6002644 6020456 6248654 6267196 6413784 6445504 6676644 6786372 6948266 7233031 7289984 7351903 7409792 7675512 7713472 7832217 7855458 7893888 8217408 8241792 8315138 8551712 8902192 9003966 9030684 9048496 9372981 9400794 9446784 9668256 10234016 10422399 10442956 10473944 10934976 11114688 11570208 12005288 12040912 12472707 12497308 12534392 12827568 12891008 13353288 13572744 13896532 14466062 14703806 15351024 15426944 15664434 15710916 16434816 16630276 17103424 17804384 18007932 18061368 18096992 18745962 18801588 19336512 19508593 20468032 20844798 20885912 20947888 21699093 21869952 22055709 22229376 23140416 24010576 24081824 24945414 24994616 25068784 25655136 26706576 27145488 27793064 28932124 29407612 30702048 31328868 31421832 33260552 33939607 34206848 35608768 36015864 36122736 36193984 37491924 37603176 38673024 39017186 40616251 40936064 41689596 41771824 41895776 43398186 44111418 46280832 48021152 48163648 49890828 49989232 50137568 51310272 53413152 54290976 55586128 57864248 58525779 58815224 61404096 62657736 62843664 66521104 67879214 71217536 72031728 72245472 72387968 74983848 75206352 78034372 81232502 83379192 83543648 83791552 86796372 88222836 95574739 96042304 96327296 99781656 99978464 100275136 101818821 102620544 106826304 108581952 111172256 115728496 117051558 117630448 121848753 122808192 125315472 125687328 133042208 135758428 144063456 144490944 149967696 150412704 156068744 162465004 166758384 167087296 167583104 173592744 176445672 190583947 191149478 192084608 199563312 199956928 200550272 203637642 213652608 217163904 222344512 231456992 234103116 235260896 243697506 250630944 251374656 253611709 266084416 271516856 286724217 288126912 288981888 299935392 300825408 312137488 324930008 333516768 334174592 347185488 352891344 381167894 382298956 399126624 399913856 407275284 441214891 444689024 462913984 468206232 470521792 487395012 501261888 502749312 507223418 528011263 532168832 543033712 571751841 573448434 576253824 599870784 601650816 624274976 649860016 667033536 694370976 705782688 760835127 762335788 764597912 798253248 814550568 882429782 925827968 936412464 941043584 974790024 1002523776 1014446836 1056022526 1086067424 1143503682 1146896868 1199741568 1248549952 1299720032 1323644673 1334067072 1388741952 1411565376 1521670254 1524671576 1529195824 1584033789 1596506496 1629101136 1764859564 1872824928 1949580048 2028893672 2112045052 2172134848 2287007364 2293793736 2477591311 2497099904 2599440064 2647289346 2777483904 2823130752 3043340508 3049343152 3058391648 3168067578 3258202272 3529719128 3745649856 3899160096 4057787344 4224090104 4344269696 4574014728 4587587472 4955182622 5198880128 5294578692 6086681016 6098686304 6116783296 6336135156 6516404544 7059438256 7432773933 7491299712 7798320192 8115574688 8448180208 9148029456 9175174944 9910365244 10589157384 12173362032 12197372608 12233566592 12672270312 13032809088 14118876512 14865547866 15596640384 16231149376 16896360416 18296058912 18350349888 19820730488 21178314768 24346724064 24394745216 25344540624 28237753024 29731095732 32208687043 32462298752 33792720832 36592117824 36700699776 39641460976 42356629536 48693448128 50689081248 56475506048 59462191464 64417374086 67585441664 73184235648 79282921952 84713259072 96626061129 97386896256 101378162496 118924382928 128834748172 158565843904 169426518144 193252122258 202756324992 237848765856 257669496344 317131687808 386504244516 475697531712 515338992688 773008489032 951395063424 1030677985376 1546016978064 2061355970752 3092033956128 4122711941504 6184067912256 12368135824512
- Sum of all divisors σ(n): 37051120005120
- Sum of proper divisors (its aliquot sum) s(n): 24682984180608
- 12368135824512 is an abundant number, because the sum of its proper divisors (24682984180608) is greater than itself. Its abundance is 12314848356096
Bases of 12368135824512
- Binary: 101100111111101011100101011110100100100000002
- Hexadecimal: 0xB3FAE57A480
- Base-36: 4DTUCQFEO
Squares and roots of 12368135824512
- 12368135824512 squared (123681358245122) is 152970783773577130060038144
- 12368135824512 cubed (123681358245123) is 1891963430893658248214736530203610185728
-
The
square root of 12368135824512 is 3516836.0531182001 -
The
cube root of 12368135824512 is 23126.0476055115
Scales and comparisons
How big is 12368135824512?- 12,368,135,824,512 seconds is equal to 393,268 years, 24 weeks, 4 hours, 35 minutes, 12 seconds.
-
To count from 1 to 12,368,135,824,512 would take you about nine hundred eighty-three thousand, one hundred seventy-one 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 12368135824512 cubic inches would be around 1927.2 feet tall.
Recreational maths with 12368135824512
- 12368135824512 backwards is 21542853186321
- The number of decimal digits it has is: 14
- The sum of 12368135824512's digits is 51
- More coming soon!
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The information we have on file for 12368135824512 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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