13428175836768
13,428,175,836,768 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13428175836768 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
13428175836768 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13428175836768:
25 × 3 × 72 × 112 × 19 × 372 × 907
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 11 × 19 × 37 × 37 × 907)See below for interesting mathematical facts about the number 13428175836768 from the Numbermatics database.
Names of 13428175836768
- Cardinal: 13428175836768 can be written as Thirteen trillion, four hundred twenty-eight billion, one hundred seventy-five million, eight hundred thirty-six thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3428175836768 × 1013
Factors of 13428175836768
Divisors of 13428175836768
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 32 33 37 38 42 44 48 49 56 57 66 74 76 77 84 88 96 98 111 112 114 121 132 133 147 148 152 154 168 176 196 209 222 224 228 231 242 259 264 266 294 296 304 308 336 352 363 392 399 407 418 444 456 462 484 518 528 532 539 588 592 608 616 627 672 703 726 777 784 798 814 836 847 888 907 912 924 931 968 1036 1056 1064 1078 1176 1184 1221 1232 1254 1369 1406 1452 1463 1554 1568 1596 1617 1628 1672 1694 1776 1813 1814 1824 1848 1862 1936 2072 2109 2128 2156 2299 2352 2442 2464 2508 2541 2721 2738 2793 2812 2849 2904 2926 3108 3192 3234 3256 3344 3388 3552 3626 3628 3696 3724 3872 4107 4144 4218 4256 4312 4389 4477 4598 4704 4884 4921 5016 5082 5439 5442 5476 5586 5624 5698 5808 5852 5929 6216 6349 6384 6468 6512 6688 6776 6897 7252 7256 7392 7448 7733 8214 8288 8436 8547 8624 8778 8954 9196 9583 9768 9842 9977 10032 10164 10241 10878 10884 10952 11172 11248 11396 11616 11704 11858 12432 12698 12768 12936 13024 13431 13552 13794 14504 14512 14763 14896 15059 15466 16093 16428 16872 17094 17233 17248 17556 17787 17908 18392 19047 19166 19536 19684 19943 19954 20064 20328 20482 21756 21768 21904 22344 22496 22792 23199 23408 23716 24864 25396 25872 26011 26862 27104 27588 28749 29008 29024 29526 29792 29931 30118 30723 30932 31339 32186 32856 33559 33744 34188 34447 34466 35112 35574 35816 36784 38094 38332 39072 39368 39886 39908 40656 40964 43512 43536 43808 44443 44688 45177 45584 46398 46816 47432 48279 50792 51699 51744 52022 53724 54131 55176 57498 58016 59052 59829 59862 60236 61446 61864 62678 64372 65712 67081 67118 67488 68376 68894 68932 69839 70224 71148 71632 73568 76188 76664 78033 78736 79772 79816 81312 81928 85063 87024 87072 88886 89376 90354 91168 92796 94017 94864 96558 100677 101584 103341 103398 104044 105413 107448 108262 109747 110352 112651 114996 118104 119658 119724 120472 120631 122892 123728 125356 128744 131424 133329 134162 134236 136752 137788 137864 139678 140448 142296 143264 152376 153328 156066 157472 159544 159632 162393 163856 165649 170126 174048 177772 180708 182077 185592 188034 189563 189728 193116 201243 201354 203168 206682 206796 208088 209517 210826 214896 216524 219373 219494 220704 225302 229992 234913 236208 239316 239448 240944 241262 245784 247456 250712 255189 257488 266658 268324 268472 273504 275576 275728 279356 284592 286121 304752 306656 312132 316239 319088 319264 324786 327712 329241 331298 337953 340252 355544 361416 361893 364154 369149 371184 376068 378917 379126 386232 402486 402708 413364 413592 416176 419034 421652 429792 433048 438746 438988 450604 459984 469826 472416 478632 478896 481888 482524 488873 491568 496947 501424 510378 514976 533316 536648 536944 546231 551152 551456 558712 568689 569184 572242 595441 609504 624264 632478 637621 638176 649572 658119 658482 662596 675906 680504 704739 711088 722832 723786 728308 737891 738298 742368 752136 757834 758252 768229 772464 804972 805416 826728 827184 832352 838068 843304 844417 858363 866096 877492 877976 901208 919968 939652 957264 957792 965048 977746 983136 993894 1002848 1020756 1066632 1073296 1073888 1092462 1102304 1107447 1117424 1136751 1137378 1144484 1159543 1190882 1241683 1248528 1264956 1274539 1275242 1299144 1316238 1316964 1325192 1326941 1351812 1361008 1409478 1422176 1445664 1447572 1456616 1466619 1475782 1476596 1504272 1515668 1516504 1536458 1544928 1609944 1610832 1644391 1653456 1654368 1676136 1686608 1688834 1716726 1732192 1754984 1755952 1786323 1802416 1879304 1912863 1914528 1930096 1955492 1987788 2002847 2041512 2085193 2133264 2146592 2184924 2213673 2214894 2234848 2273502 2274756 2288968 2304687 2319086 2381764 2483366 2497056 2529912 2533251 2549078 2550484 2584043 2598288 2632476 2633928 2650384 2653882 2703624 2722016 2818956 2895144 2913232 2933238 2951564 2953192 3008544 3031336 3033008 3072916 3147331 3219888 3221664 3288782 3306912 3352272 3373216 3377668 3433452 3478629 3509968 3511904 3572646 3604832 3725049 3758608 3823617 3825726 3860192 3910984 3975576 3980823 4005694 4060639 4083024 4168087 4170386 4266528 4369848 4427346 4429788 4463347 4547004 4549512 4577936 4609374 4638172 4763528 4933173 4966732 5059824 5066502 5098156 5100968 5168086 5196576 5264952 5267856 5300768 5307764 5377603 5407248 5637912 5790288 5826464 5866476 5903128 5906384 6008541 6062672 6066016 6145832 6255579 6294662 6439776 6577564 6704544 6755336 6866904 6957258 7013831 7019936 7145292 7450098 7517216 7647234 7651452 7752129 7821968 7951152 7961646 8011388 8116801 8121278 8166048 8336174 8340772 8691781 8739696 8854692 8859576 8926694 9094008 9099024 9155872 9218748 9276344 9288587 9441993 9527056 9866346 9933464 10119648 10133004 10196312 10201936 10336172 10529904 10535712 10615528 10755206 10814496 11275824 11580576 11732952 11806256 11812768 12017082 12125344 12181917 12291664 12504261 12511158 12589324 13155128 13390041 13510672 13658513 13733808 13914516 14019929 14027662 14290584 14596351 14900196 15294468 15302904 15504258 15643936 15902304 15923292 16022776 16132809 16233602 16242556 16672348 16681544 17383562 17479392 17709384 17719152 17853388 18088301 18188016 18198048 18437496 18552688 18577174 18883986 19054112 19732692 19866928 20266008 20392624 20403872 20672344 21041493 21059808 21231056 21510412 22031317 22551648 23465904 23591977 23612512 24034164 24350403 24363834 24583328 25008522 25022316 25178648 26075343 26310256 26780082 27021344 27317026 27467616 27829032 27865761 28039858 28055324 28424473 28581168 29192702 29800392 30588936 30605808 31008516 31243429 31846584 32045552 32265618 32467204 32485112 33344696 33363088 34767124 35418768 35438304 35706776 36176602 36376032 36874992 37105376 37154348 37767972 39465384 39733856 40532016 40785248 40975539 41344688 42059787 42082986 42462112 43020824 43789053 44062634 46931808 47183954 48068328 48700806 48727668 49096817 50017044 50044632 50357296 52150686 52620512 53560164 54264903 54634052 55658064 55731522 56079716 56110648 56848946 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224442592 227395784 231456423 233541616 243369868 248068128 249947432 258124944 259511747 259737632 264375804 278136992 283103724 286828773 289412816 294580902 297234784 300487286 302143776 306523371 308438438 308608564 327804312 330287678 336478296 336663888 341093676 343677719 350312424 352501072 365054802 374921148 377471632 382438364 389606448 389821344 392774536 397942622 400136352 408697828 417205488 428481312 434119224 437072416 445852176 448637728 450730929 454791568 462657657 462912846 467083232 486739736 495431517 499894864 516249888 519023494 528751608 540064987 566207448 573657546 578825632 589161804 596913933 600974572 613046742 616876876 617217128 655608624 660575356 669267137 672956592 673327776 682187352 687355438 700624848 705002144 730109604 749842296 754943264 764876728 778535241 779212896 785549072 795885244 817395656 834410976 868238448 891704352 901461858 909583136 925315314 925825692 973479472 990863034 999789728 1031033157 1038046988 1051705501 1057503216 1080129974 1132414896 1147315092 1156006873 1178323608 1193827866 1201949144 1226093484 1233753752 1234434256 1311217248 1321150712 1338534274 1345913184 1364374704 1374710876 1401249696 1460219208 1499684592 1529753456 1557070482 1571098144 1591770488 1620194961 1634791312 1736476896 1802923716 1816582229 1850630628 1851651384 1946958944 1981726068 2007801411 2062066314 2076093976 2103411002 2115006432 2160259948 2264829792 2294630184 2312013746 2356647216 2387655732 2403898288 2452186968 2467507504 2468868512 2642301424 2677068548 2728749408 2749421752 2854629217 2920438416 2999369184 3059506912 3114140964 3155116503 3183540976 3240389922 3269582624 3468020619 3605847432 3633164458 3701261256 3703302768 3780454909 3963452136 4015602822 4124132628 4152187952 4206822004 4320519896 4589260368 4624027492 4713294432 4775311464 4807796576 4904373936 4935015008 5284602848 5354137096 5449746687 5498843504 5709258434 5840876832 6228281928 6310233006 6367081952 6480779844 6936041238 7211694864 7266328916 7361938507 7402522512 7406605536 7560909818 7926904272 8031205644 8248265256 8304375904 8413644008 8563887651 8641039792 9178520736 9248054984 9550622928 9808747872 10708274192 10899493374 10997687008 11341364727 11418516868 12456563856 12620466012 12716075603 12961559688 13872082476 14423389728 14532657832 14723877014 14805045024 15121819636 15853808544 16062411288 16496530512 16827288016 17127775302 17282079584 18496109968 19101245856 19982404519 21416548384 21798986748 22085815521 22682729454 22837033736 24913127712 25240932024 25432151206 25923119376 27744164952 29065315664 29447754028 30243639272 32124822576 32993061024 33654576032 34255550604 36992219936 38148226809 39964809038 43597973496 44171631042 45365458908 45674067472 50481864048 50864302412 51846238752 55488329904 58130631328 58895508056 59947213557 60487278544 64249645152 68511101208 76296453618 79929618076 87195946992 88343262084 90730917816 91348134944 100963728096 101728604824 110976659808 117791016112 119894427114 120974557088 137022202416 139876831633 152592907236 159859236152 174391893984 176686524168 181461835632 203457209648 235582032224 239788854228 274044404832 279753663266 305185814472 319718472304 353373048336 362923671264 406914419296 419630494899 479577708456 559507326532 610371628944 639436944608 706746096672 839260989798 959155416912 1119014653064 1220743257888 1678521979596 1918310833824 2238029306128 3357043959192 4476058612256 6714087918384 13428175836768
- Sum of all divisors σ(n): 48813166261440
- Sum of proper divisors (its aliquot sum) s(n): 35384990424672
- 13428175836768 is an abundant number, because the sum of its proper divisors (35384990424672) is greater than itself. Its abundance is 21956814587904
Bases of 13428175836768
- Binary: 110000110110011111011010011010010110011000002
- Hexadecimal: 0xC367DA69660
- Base-36: 4RCTH6RMO
Squares and roots of 13428175836768
- 13428175836768 squared (134281758367682) is 180315906303159976980685824
- 13428175836768 cubed (134281758367683) is 2421313696005015509375188482865715576832
-
The
square root of 13428175836768 is 3664447.5486446795 -
The
cube root of 13428175836768 is 23768.7133542847
Scales and comparisons
How big is 13428175836768?- 13,428,175,836,768 seconds is equal to 426,974 years, 23 weeks, 4 days, 19 hours, 32 minutes, 48 seconds.
-
To count from 1 to 13,428,175,836,768 would take you about one million, sixty-seven thousand, four hundred thirty-six 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 13428175836768 cubic inches would be around 1980.7 feet tall.
Recreational maths with 13428175836768
- 13428175836768 backwards is 86763857182431
- The number of decimal digits it has is: 14
- The sum of 13428175836768's digits is 69
- More coming soon!
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The information we have on file for 13428175836768 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 13428175836768, math, Factors of 13428175836768, curriculum, school, college, exams, university, Prime factorization of 13428175836768, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, four hundred twenty-eight billion, one hundred seventy-five million, eight hundred thirty-six thousand, seven hundred sixty-eight.