13427829101131200
13,427,829,101,131,200 is an even composite number composed of five prime numbers multiplied together.
13427829101131200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred thirty divisors.
Prime factorization of 13427829101131200:
26 × 34 × 52 × 7 × 1216612
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 121661 × 121661)See below for interesting mathematical facts about the number 13427829101131200 from the Numbermatics database.
Names of 13427829101131200
- Cardinal: 13427829101131200 can be written as Thirteen quadrillion, four hundred twenty-seven trillion, eight hundred twenty-nine billion, one hundred one million, one hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.34278291011312 × 1016
Factors of 13427829101131200
Divisors of 13427829101131200
- Number of divisors d(n): 630
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 126 135 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 240 252 270 280 288 300 315 320 324 336 350 360 378 400 405 420 432 448 450 480 504 525 540 560 567 576 600 630 648 672 675 700 720 756 800 810 840 864 900 945 960 1008 1050 1080 1120 1134 1200 1260 1296 1344 1350 1400 1440 1512 1575 1600 1620 1680 1728 1800 1890 2016 2025 2100 2160 2240 2268 2400 2520 2592 2700 2800 2835 2880 3024 3150 3240 3360 3600 3780 4032 4050 4200 4320 4536 4725 4800 5040 5184 5400 5600 5670 6048 6300 6480 6720 7200 7560 8100 8400 8640 9072 9450 10080 10800 11200 11340 12096 12600 12960 14175 14400 15120 16200 16800 18144 18900 20160 21600 22680 25200 25920 28350 30240 32400 33600 36288 37800 43200 45360 50400 56700 60480 64800 75600 90720 100800 113400 121661 129600 151200 181440 226800 243322 302400 364983 453600 486644 608305 729966 851627 907200 973288 1094949 1216610 1459932 1703254 1824915 1946576 2189898 2433220 2554881 2919864 3041525 3284847 3406508 3649830 3893152 4258135 4379796 4866440 5109762 5474745 5839728 6083050 6569694 6813016 7299660 7664643 7786304 8516270 8759592 9124575 9732880 9854541 10219524 10949490 11679456 12166100 12774405 13139388 13626032 14599320 15329286 16424235 17032540 17519184 18249150 19465760 19709082 20439048 21290675 21898980 22993929 23358912 24332200 25548810 26278776 27252064 27373725 29198640 30658572 32848470 34065080 35038368 36498300 38323215 38931520 39418164 40878096 42581350 43797960 45987858 48664400 49272705 51097620 52557552 54504128 54747450 58397280 61317144 63872025 65696940 68130160 68981787 70076736 72996600 76646430 78836328 81756192 82121175 85162700 87595920 91975716 97328800 98545410 102195240 105115104 109494900 114969645 116794560 122634288 127744050 131393880 136260320 137963574 145993200 153292860 157672656 163512384 164242350 170325400 175191840 183951432 191616075 194657600 197090820 204390480 210230208 218989800 229939290 245268576 246363525 255488100 262787760 272520640 275927148 291986400 306585720 315345312 328484700 340650800 344908935 350383680 367902864 383232150 394181640 408780960 437979600 459878580 490537152 492727050 510976200 525575520 551854296 574848225 583972800 613171440 630690624 656969400 681301600 689817870 735805728 766464300 788363280 817561920 875959200 919757160 985454100 1021952400 1051151040 1103708592 1149696450 1226342880 1313938800 1362603200 1379635740 1471611456 1532928600 1576726560 1724544675 1751918400 1839514320 1970908200 2043904800 2207417184 2299392900 2452685760 2627877600 2759271480 3065857200 3153453120 3449089350 3679028640 3941816400 4087809600 4414834368 4598785800 5255755200 5518542960 6131714400 6898178700 7358057280 7883632800 9197571600 11037085920 12263428800 13796357400 14801398921 15767265600 18395143200 22074171840 27592714800 29602797842 36790286400 44404196763 55185429600 59205595684 74006994605 88808393526 103609792447 110370859200 118411191368 133212590289 148013989210 177616787052 207219584894 222020983815 236822382736 266425180578 296027978420 310829377341 355233574104 370034973025 399637770867 414439169788 444041967630 473644765472 518048962235 532850361156 592055956840 621658754682 666062951445 710467148208 740069946050 799275541734 828878339576 888083935260 932488132023 947289530944 1036097924470 1065700722312 1110104919075 1184111913680 1198913312601 1243317509364 1332125902890 1420934296416 1480139892100 1554146886705 1598551083468 1657756679152 1776167870520 1864976264046 1998188854335 2072195848940 2131401444624 2220209838150 2368223827360 2397826625202 2486635018728 2590244811175 2664251805780 2797464396069 2841868592832 2960279784200 3108293773410 3197102166936 3315513358304 3330314757225 3552335741040 3729952528092 3996377708670 4144391697880 4262802889248 4440419676300 4662440660115 4736447654720 4795653250404 4973270037456 5180489622350 5328503611560 5594928792138 5920559568400 5994566563005 6216587546820 6394204333872 6631026716608 6660629514450 7104671482080 7459905056184 7770734433525 7992755417340 8288783395760 8392393188207 8525605778496 8880839352600 9324881320230 9591306500808 9946540074912 9990944271675 10360979244700 10657007223120 11189857584276 11841119136800 11989133126010 12433175093640 12788408667744 13321259028900 13987321980345 14209342964160 14919810112368 15541468867050 15985510834680 16577566791520 16784786376414 17761678705200 18649762640460 19182613001616 19893080149824 19981888543350 20721958489400 21314014446240 22379715168552 23312203300575 23682238273600 23978266252020 24866350187280 25576817335488 26642518057800 27974643960690 29839620224736 29972832815025 31082937734100 31971021669360 33155133583040 33569572752828 35523357410400 37299525280920 38365226003232 39963777086700 41443916978800 41961965941035 42628028892480 44759430337104 46624406601150 47956532504040 49732700374560 53285036115600 55949287921380 59679240449472 59945665630050 62165875468200 63942043338720 67139145505656 69936609901725 71046714820800 74599050561840 76730452006464 79927554173400 82887833957600 83923931882070 89518860674208 93248813202300 95913065008080 99465400749120 106570072231200 111898575842760 119891331260100 124331750936400 127884086677440 134278291011312 139873219803450 149198101123680 159855108346800 165775667915200 167847863764140 179037721348416 186497626404600 191826130016160 209809829705175 213140144462400 223797151685520 239782662520200 248663501872800 268556582022624 279746439606900 298396202247360 319710216693600 335695727528280 372995252809200 383652260032320 419619659410350 447594303371040 479565325040400 497327003745600 537113164045248 559492879213800 639420433387200 671391455056560 745990505618400 839239318820700 895188606742080 959130650080800 1118985758427600 1342782910113120 1491981011236800 1678478637641400 1918261300161600 2237971516855200 2685565820226240 3356957275282800 4475943033710400 6713914550565600 13427829101131200
- Sum of all divisors σ(n): 56408831766142328
- Sum of proper divisors (its aliquot sum) s(n): 42981002665011128
- 13427829101131200 is an abundant number, because the sum of its proper divisors (42981002665011128) is greater than itself. Its abundance is 29553173563879928
Bases of 13427829101131200
- Binary: 1011111011010010001010000101111010110101110101110000002
- Hexadecimal: 0x2FB48A17AD75C0
- Base-36: 3O7RNJ2JG00
Squares and roots of 13427829101131200
- 13427829101131200 squared (134278291011312002) is 180306594369185930557119613440000
- 13427829101131200 cubed (134278291011312003) is 2421126134996413801195893082176596810723328000000
-
The
square root of 13427829101131200 is 115878510.0919544961 -
The
cube root of 13427829101131200 is 237685.0877124985
Scales and comparisons
How big is 13427829101131200?- 13,427,829,101,131,200 seconds is equal to 426,963,430 years, 21 weeks, 3 days, 12 hours.
-
To count from 1 to 13,427,829,101,131,200 would take you about one billion, two hundred eighty million, eight hundred ninety thousand, two hundred ninety-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 13427829101131200 cubic inches would be around 19807.1 feet tall.
Recreational maths with 13427829101131200
- 13427829101131200 backwards is 00213110192872431
- 13427829101131200 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13427829101131200's digits is 45
- More coming soon!
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