13534319894400

Names of 13534319894400

• Cardinal: 13534319894400 can be written as Thirteen trillion, five hundred thirty-four billion, three hundred nineteen million, eight hundred ninety-four thousand, four hundred.

Scientific notation

• Scientific notation: 1.35343198944 × 10¹³

Factors of 13534319894400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 4753

Divisors of 13534319894400

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 128 135 144 150 157 160 180 192 200 216 225 229 240 270 288 300 314 320 360 384 400 432 450 458 471 480 540 576 600 628 640 675 687 720 785 800 864 900 916 942 960 1080 1145 1152 1200 1256 1350 1374 1413 1440 1570 1600 1728 1800 1832 1884 1920 2061 2160 2290 2355 2400 2512 2700 2748 2826 2880 3140 3200 3435 3456 3600 3664 3768 3925 4122 4239 4320 4357 4580 4710 4800 5024 5400 5496 5652 5725 5760 6183 6280 6870 7065 7200 7328 7536 7850 8244 8478 8640 8714 9160 9420 9600 10048 10305 10800 10992 11304 11450 11775 12366 12560 13071 13740 14130 14400 14656 15072 15700 16488 16956 17175 17280 17428 18320 18840 20096 20610 21195 21600 21785 21984 22608 22900 23550 24732 25120 26142 27480 28260 28800 29312 30144 30915 31400 32976 33912 34350 34856 35325 35953 36640 37680 39213 41220 42390 43200 43570 43968 45216 45800 47100 49464 50240 51525 52284 54960 56520 60288 61830 62800 65355 65952 67824 68700 69712 70650 71906 73280 75360 78426 82440 84780 86400 87140 87936 90432 91600 94200 98928 100480 103050 104568 105975 107859 108925 109920 113040 117639 123660 125600 130710 131904 135648 137400 139424 141300 143812 146560 150720 154575 156852 164880 169560 174280 179765 180864 183200 188400 196065 197856 206100 209136 211950 215718 217850 219840 226080 235278 247320 251200 261420 263808 271296 274800 278848 282600 287624 301440 309150 313704 323577 326775 329760 339120 348560 359530 366400 376800 392130 395712 412200 418272 423900 431436 435700 439680 452160 470556 494640 502400 522840 539295 542592 549600 557696 565200 575248 588195 618300 627408 647154 653550 659520 678240 684049 697120 719060 732800 753600 784260 791424 824400 836544 847800 862872 871400 898825 904320 941112 970731 980325 989280 997753 1045680 1078590 1099200 1130400 1150496 1176390 1236600 1254816 1294308 1307100 1319040 1356480 1368098 1394240 1438120 1507200 1568520 1617885 1648800 1673088 1695600 1725744 1742800 1797650 1882224 1941462 1960650 1978560 1995506 2052147 2091360 2157180 2198400 2260800 2300992 2352780 2473200 2509632 2588616 2614200 2696475 2712960 2736196 2788480 2876240 2940975 2993259 3137040 3235770 3297600 3391200 3420245 3451488 3485600 3595300 3764448 3882924 3921300 3957120 3991012 4104294 4182720 4314360 4521600 4601984 4705560 4853655 4946400 4988765 5019264 5177232 5228400 5392950 5472392 5752480 5881950 5986518 6156441 6274080 6471540 6595200 6782400 6840490 6902976 6971200 7190600 7528896 7765848 7842600 7982024 8089425 8208588 8365440 8628720 8979777 9411120 9707310 9892800 9977530 10260735 10354464 10456800 10785900 10944784 11504960 11763900 11973036 12312882 12548160 12943080 13564800 13680980 13805952 13942400 14381200 14966295 15057792 15531696 15685200 15964048 16178850 16417176 17101225 17257440 17959554 18469323 18822240 19414620 19785600 19955060 20521470 20708928 20913600 21571800 21889568 23009920 23527800 23946072 24268275 24625764 24943825 25096320 25886160 26939331 27361960 28762400 29932590 30782205 31063392 31370400 31928096 32357700 32834352 34202450 34514880 35919108 36938646 37644480 38829240 39910120 41042940 41417856 41827200 43143600 43779136 44898885 47055600 47892144 48536550 49251528 49887650 51303675 51772320 53878662 54723920 57524800 59865180 61564410 62126784 62740800 63856192 64715400 65668704 68404900 69029760 71838216 73877292 74831475 75288960 77658480 79820240 82085880 86287200 87558272 89797770 92346615 94111200 95784288 97073100 98503056 99775300 102607350 103544640 107757324 109447840 115049600 119730360 123128820 124253568 125481600 127712384 129430800 131337408 134696655 136809800 143676432 147754584 149662950 153911025 155316960 156647221 159640480 164171760 172574400 179595540 184693230 188222400 191568576 194146200 197006112 199550600 205214700 207089280 215514648 218895680 224494425 239460720 246257640 258861600 262674816 269393310 273619600 287352864 295509168 299325900 307822050 310633920 313294442 319280960 328343520 345148800 359191080 369386460 376444800 383137152 388292400 394012224 399101200 410429400 431029296 437791360 448988850 461733075 469941663 478921440 492515280 517723200 538786620 547239200 574705728 591018336 598651800 615644100 621267840 626588884 638561920 656687040 673483275 718382160 738772920 776584800 783236105 788024448 798202400 820858800 862058592 897977700 923466150 939883326 957842880 985030560 1035446400 1077573240 1094478400 1149411456 1182036672 1197303600 1231288200 1253177768 1313374080 1346966550 1409824989 1436764320 1477545840 1553169600 1566472210 1596404800 1641717600 1724117184 1795955400 1846932300 1879766652 1915685760 1970061120 2155146480 2188956800 2349708315 2364073344 2394607200 2462576400 2506355536 2693933100 2819649978 2873528640 2955091680 3106339200 3132944420 3192809600 3283435200 3448234368 3591910800 3693864600 3759533304 3916180525 3940122240 4229474967 4310292960 4699416630 4789214400 4925152800 5012711072 5387866200 5639299956 5747057280 5910183360 6265888840 6566870400 7049124945 7183821600 7387729200 7519066608 7832361050 8458949934 8620585920 9398833260 9578428800 9850305600 10025422144 10775732400 11278599912 11748541575 11820366720 12531777680 14098249890 14367643200 14775458400 15038133216 15664722100 16917899868 17241171840 18797666520 19700611200 20050844288 21147374835 21551464800 22557199824 23497083150 25063555360 28196499780 28735286400 29550916800 30076266432 31329444200 33835799736 35245624725 37595333040 42294749670 43102929600 45114399648 46994166300 50127110720 56392999560 59101833600 60152532864 62658888400 67671599472 70491249450 75190666080 84589499340 86205859200 90228799296 93988332600 100254221440 105736874175 112785999120 125317776800 135343198944 140982498900 150381332160 169178998680 180457598592 187976665200 211473748350 225571998240 250635553600 270686397888 281964997800 300762664320 338357997360 375953330400 422947496700 451143996480 501271107200 541372795776 563929995600 676715994720 751906660800 845894993400 902287992960 1127859991200 1353431989440 1503813321600 1691789986800 2255719982400 2706863978880 3383579973600 4511439964800 6767159947200 13534319894400
• Sum of all divisors σ(n): 50076505464000
• Sum of proper divisors (its aliquot sum) s(n): 36542185569600
• 13534319894400 is an abundant number, because the sum of its proper divisors (36542185569600) is greater than itself. Its abundance is 23007865675200

Bases of 13534319894400

• Binary: 11000100111100110100010101000101111110000000₂
• Hexadecimal: 0xC4F34545F80
• Base-36: 4SPKWMAO0

Squares and roots of 13534319894400

• 13534319894400 squared (13534319894400²) is 183177815003951627151360000
• 13534319894400 cubed (13534319894400³) is 2479187145820705321969902848016384000000
• The square root of 13534319894400 is 3678901.9957590609
• The cube root of 13534319894400 is 23831.1762741267

Scales and comparisons

• 13,534,319,894,400 seconds is equal to 430,349 years, 26 weeks, 3 days.
• To count from 1 to 13,534,319,894,400 would take you about one million, seventy-five thousand, eight hundred seventy-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 13534319894400 cubic inches would be around 1985.9 feet tall.

Recreational maths with 13534319894400

• 13534319894400 backwards is 00449891343531
• 13534319894400 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13534319894400's digits is 54
• More coming soon!