68429342326800
68,429,342,326,800 is an even composite number composed of eight prime numbers multiplied together.
68429342326800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 68429342326800:
24 × 3 × 52 × 7 × 13 × 257 × 757 × 3221
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 257 × 757 × 3221)See below for interesting mathematical facts about the number 68429342326800 from the Numbermatics database.
Names of 68429342326800
- Cardinal: 68429342326800 can be written as Sixty-eight trillion, four hundred twenty-nine billion, three hundred forty-two million, three hundred twenty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 6.84293423268 × 1013
Factors of 68429342326800
Divisors of 68429342326800
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 35 39 40 42 48 50 52 56 60 65 70 75 78 80 84 91 100 104 105 112 120 130 140 150 156 168 175 182 195 200 208 210 240 257 260 273 280 300 312 325 336 350 364 390 400 420 455 514 520 525 546 560 600 624 650 700 728 757 771 780 840 910 975 1028 1040 1050 1092 1200 1285 1300 1365 1400 1456 1514 1542 1560 1680 1799 1820 1950 2056 2100 2184 2271 2275 2570 2600 2730 2800 3028 3084 3120 3221 3341 3598 3640 3785 3855 3900 4112 4200 4368 4542 4550 5140 5200 5299 5397 5460 6056 6168 6425 6442 6682 6825 7196 7280 7570 7710 7800 8400 8995 9084 9100 9663 9841 10023 10280 10598 10794 10920 11355 12112 12336 12850 12884 13364 13650 14392 15140 15420 15600 15897 16105 16705 17990 18168 18200 18925 19275 19326 19682 20046 20560 21196 21588 21840 22547 22710 23387 25700 25768 26495 26728 26985 27300 28784 29523 30280 30840 31794 32210 33410 35980 36336 36400 37850 38550 38652 39364 40092 41873 42392 43176 44975 45094 45420 46774 48315 49205 50115 51400 51536 52990 53456 53970 54600 56775 59046 60560 61680 63588 64420 66820 67641 68887 70161 71960 75700 77100 77304 78728 79485 80184 80525 83525 83746 84784 86352 89950 90188 90840 93548 96630 98410 100230 102800 105980 107940 109200 112735 113550 116935 118092 125619 127176 128840 132475 133640 134925 135282 137774 140322 143920 147615 151400 154200 154608 157456 158970 160368 161050 167050 167492 179900 180376 181680 187096 193260 194549 196820 200460 206661 209365 211960 215880 225470 227100 233870 236184 241575 246025 250575 251238 254352 257680 264950 267280 269850 270564 275548 280644 293111 295230 302800 308400 317940 322100 334100 334984 338205 344435 350805 359800 360752 374192 386520 389098 393640 397425 400920 413322 418730 423920 431760 450940 454200 467740 472368 483150 492050 501150 502476 529900 539700 541128 551096 561288 563675 583647 584675 586222 590460 628095 635880 644200 668200 669968 676410 688870 701610 719600 738075 773040 778196 787280 794850 801840 826644 827797 837460 879333 901880 908400 935480 966300 972745 984100 1002300 1004952 1033305 1046825 1059800 1079400 1082256 1102192 1122576 1127350 1167294 1169350 1172444 1180920 1256190 1271760 1288400 1336400 1352820 1361843 1377740 1403220 1465555 1476150 1556392 1589700 1653288 1655594 1674920 1691025 1722175 1754025 1758666 1803760 1870960 1932600 1945490 1968200 2004600 2009904 2066610 2093650 2119600 2158800 2254700 2334588 2338700 2344888 2361840 2438297 2483391 2512380 2529137 2705640 2723686 2755480 2806440 2918235 2931110 2952300 3112784 3140475 3179400 3306576 3311188 3349840 3382050 3444350 3508050 3517332 3865200 3890980 3936400 4009200 4085529 4133220 4138985 4187300 4396665 4509400 4669176 4677400 4689776 4863725 4876594 4966782 5024760 5058274 5166525 5411280 5447372 5510960 5612880 5794579 5836470 5862220 5904600 6280950 6358800 6622376 6764100 6809215 6888700 7016100 7034664 7314891 7327775 7587411 7781960 8171058 8266440 8277970 8374600 8793330 9018800 9338352 9354800 9727450 9753188 9933564 10049520 10116548 10333050 10761361 10894744 11589158 11672940 11724440 11809200 12191485 12416955 12561900 12645685 13244752 13528200 13618430 13777400 14032200 14069328 14591175 14629782 14655550 15174822 15563920 16342116 16532880 16555940 16749200 17068079 17383737 17586660 17703959 19454900 19506376 19867128 20233096 20427645 20666100 20694925 21522722 21789488 21983325 23178316 23345880 23448880 24382970 24833910 25123800 25291370 27056400 27236860 27554800 28064400 28972895 29182350 29259564 29311100 30349644 31697861 32284083 32684232 33111880 34046075 34136158 34767474 35173320 35407918 36574455 37937055 38909800 39012752 39734256 40466192 40855290 41332200 41389850 43045444 43966650 46356632 46691760 48765940 49667820 50247600 50582740 51204237 53111877 53806805 54473720 57945790 58364700 58519128 58622200 60699288 60957425 62084775 63228425 63395722 64568166 65368464 66223760 68092150 68272316 69534948 70346640 70815836 73148910 75329527 75874110 77819600 81710580 82664400 82779700 85340395 86090888 86918685 87933300 88519795 92713264 95093583 97531880 99335640 101165480 102138225 102408474 106223754 107613610 108947440 115891580 116729400 117038256 117244400 121398576 121914850 124169550 126456850 126791444 129136332 136184300 136544632 139069896 141631672 144864475 146297820 150659054 151748220 158489305 161420415 163421160 165559400 170680790 172181776 173837370 175866600 177039590 182872275 189685275 190187166 195063760 198671280 202330960 204276450 204816948 212447508 215227220 221885027 225988581 231783160 233458800 243829700 248339100 252913700 253582888 256021185 258272664 265559385 269034025 272368600 273089264 278139792 283263344 289728950 292595640 301318108 303496440 316978610 322840830 326842320 331118800 341361580 347674740 351733200 354079180 365744550 376647635 379370550 380374332 408552900 409633896 424895016 426701975 430454440 434593425 442598975 443770054 451977162 463566320 475467915 487659400 496678200 505827400 507165776 512042370 516545328 531118770 538068050 544737200 579457900 585191280 602636216 606992880 626642329 633957220 645681660 665655081 682723160 695349480 708158360 731489100 753295270 758741100 760748664 792446525 807102075 817105800 819267792 849790032 853403950 860908880 869186850 885197950 887540108 903954324 950935830 975318800 993356400 1011654800 1024084740 1062237540 1076136100 1109425135 1129942905 1158915800 1205272432 1253284658 1267914440 1280105925 1291363320 1327796925 1331310162 1365446320 1390698960 1416316720 1462978200 1506590540 1517482200 1521497328 1584893050 1614204150 1634211600 1706807900 1738373700 1770395900 1775080216 1807908648 1879926987 1883238175 1901871660 2048169480 2124475080 2152272200 2218850270 2259885810 2317831600 2377339575 2506569316 2535828880 2560211850 2582726640 2655593850 2662620324 2925956400 3013181080 3034964400 3133211645 3169786100 3228408300 3328275405 3413615800 3476747400 3540791800 3550160432 3615817296 3759853974 3766476350 3803743320 4096338960 4248950160 4304544400 4386496303 4437700540 4519771620 4754679150 5013138632 5120423700 5311187700 5325240648 5547125675 5649714525 6026362160 6266423290 6339572200 6456816600 6656550810 6827231600 6953494800 7081583600 7519707948 7532952700 7607486640 8146350277 8772992606 8875401080 9039543240 9399634935 9509358300 10026277264 10240847400 10622375400 10650481296 11094251350 11299429050 12532846580 12679144400 12913633200 13159488909 13313101620 15039415896 15065905400 15666058225 16292700554 16641377025 17545985212 17750802160 18079086480 18799269870 19018716600 20481694800 21244750800 21932481515 22188502700 22598858100 24439050831 25065693160 26318977818 26626203240 30078831792 30131810800 31332116450 32585401108 33282754050 35091970424 37598539740 38037433200 40731751385 43864963030 44377005400 45197716200 46998174675 48878101662 50131386320 52637955636 53252406480 57024451939 62664232900 65170802216 65797444545 66565508100 70183940848 75197079480 81463502770 87729926060 88754010800 90395432400 93996349350 97756203324 105275911272 109662407575 114048903878 122195254155 125328465800 130341604432 131594889090 133131016200 150394158960 162927005540 171073355817 175459852120 187992698700 195512406648 203658756925 210551822544 219324815150 228097807756 244390508310 250656931600 263189778180 266262032400 285122259695 325854011080 328987222725 342146711634 350919704240 375985397400 391024813296 407317513850 438649630300 456195615512 488781016620 526379556360 570244519390 610976270775 651708022160 657974445450 684293423268 751970794800 814635027700 855366779085 877299260600 912391231024 977562033240 1052759112720 1140489038780 1221952541550 1315948890900 1368586846536 1425611298475 1629270055400 1710733558170 1754598521200 1955124066480 2280978077560 2443905083100 2631897781800 2737173693072 2851222596950 3258540110800 3421467116340 4276833895425 4561956155120 4887810166200 5263795563600 5702445193900 6842934232680 8553667790850 9775620332400 11404890387800 13685868465360 17107335581700 22809780775600 34214671163400 68429342326800
- Sum of all divisors σ(n): 271278796045824
- Sum of proper divisors (its aliquot sum) s(n): 202849453719024
- 68429342326800 is an abundant number, because the sum of its proper divisors (202849453719024) is greater than itself. Its abundance is 134420111392224
Bases of 68429342326800
- Binary: 11111000111100011100101010010001000000000100002
- Hexadecimal: 0x3E3C72A44010
- Base-36: O9807MM1C
Squares and roots of 68429342326800
- 68429342326800 squared (684293423268002) is 4682574891278382037998240000
- 68429342326800 cubed (684293423268003) is 320425520206166696154613810375904832000000
-
The
square root of 68429342326800 is 8272202.9911505437 -
The
cube root of 68429342326800 is 40902.2741559033
Scales and comparisons
How big is 68429342326800?- 68,429,342,326,800 seconds is equal to 2,175,841 years, 21 weeks, 5 days, 22 hours, 20 minutes.
-
To count from 1 to 68,429,342,326,800 would take you about five million, four hundred thirty-nine thousand, six hundred 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 68429342326800 cubic inches would be around 3408.5 feet tall.
Recreational maths with 68429342326800
- 68429342326800 backwards is 00862324392486
- The number of decimal digits it has is: 14
- The sum of 68429342326800's digits is 57
- More coming soon!
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The information we have on file for 68429342326800 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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