13381096504729600

Names of 13381096504729600

• Cardinal: 13381096504729600 can be written as Thirteen quadrillion, three hundred eighty-one trillion, ninety-six billion, five hundred four million, seven hundred twenty-nine thousand, six hundred.

Scientific notation

• Scientific notation: 1.33810965047296 × 10¹⁶

Factors of 13381096504729600

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 546

Divisors of 13381096504729600

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 109 128 137 160 200 218 256 274 293 320 400 436 512 545 548 586 640 685 800 872 1024 1090 1096 1172 1280 1370 1465 1600 1744 2048 2180 2192 2344 2560 2725 2740 2930 3200 3425 3488 4096 4360 4384 4688 5120 5450 5480 5860 6400 6850 6976 7325 8192 8720 8768 9376 10240 10900 10960 11720 11881 12800 13700 13952 14650 14933 17440 17536 18752 18769 20480 21800 21920 23440 23762 25600 27400 27904 29300 29866 31937 34880 35072 37504 37538 40141 40960 43600 43840 46880 47524 51200 54800 55808 58600 59405 59732 63874 69760 70144 74665 75008 75076 80282 87200 87680 93760 93845 95048 102400 109600 111616 117200 118810 119464 127748 139520 140288 149330 150016 150152 159685 160564 174400 175360 187520 187690 190096 200705 204800 219200 223232 234400 237620 238928 255496 279040 280576 297025 298660 300032 300304 319370 321128 348800 350720 373325 375040 375380 380192 401410 438400 446464 468800 469225 475240 477856 510992 558080 561152 594050 597320 600064 600608 638740 642256 697600 701440 746650 750080 750760 760384 798425 802820 876800 892928 937600 938450 950480 955712 1003525 1021984 1116160 1122304 1188100 1194640 1200128 1201216 1277480 1284512 1395200 1402880 1493300 1500160 1501520 1520768 1596850 1605640 1627697 1753600 1875200 1876900 1900960 1911424 2007050 2043968 2045821 2232320 2376200 2389280 2400256 2402432 2554960 2569024 2790400 2805760 2986600 3000320 3003040 3041536 3193700 3211280 3255394 3481133 3507200 3750400 3753800 3801920 3822848 4014100 4087936 4091642 4375369 4464640 4752400 4778560 4804864 5109920 5138048 5499317 5580800 5611520 5973200 6000640 6006080 6083072 6387400 6422560 6510788 6962266 7014400 7500800 7507600 7603840 7645696 8028200 8138485 8175872 8183284 8750738 9504800 9557120 9609728 10219840 10229105 10276096 10998634 11161600 11946400 12001280 12012160 12166144 12774800 12845120 13021576 13924532 14028800 15001600 15015200 15207680 15291392 16056400 16276970 16351744 16366568 17405665 17501476 19009600 19114240 19219456 20439680 20458210 20552192 21876845 21997268 22323200 23892800 24024320 24332288 25549600 25690240 26043152 27496585 27849064 28057600 30003200 30030400 30415360 30582784 32112800 32553940 32703488 32733136 34811330 35002952 38019200 38228480 38438912 40692425 40879360 40916420 41104384 43753690 43994536 47785600 48048640 48664576 51099200 51145525 51380480 52086304 54993170 55698128 60006400 60060800 60830720 61165568 64225600 65107880 65406976 65466272 69622660 70005904 76038400 76456960 76877824 81384850 81758720 81832840 82208768 87028325 87507380 87989072 95571200 96097280 97329152 102198400 102291050 102760960 104172608 109384225 109986340 111396256 120121600 121661440 122331136 128451200 130215760 130813952 130932544 137482925 139245320 140011808 152076800 152913920 153755648 162769700 163517440 163665680 164417536 174056650 175014760 175978144 191142400 192194560 204396800 204582100 205521920 208345216 218768450 219972680 222792512 222994489 240243200 243322880 256902400 260431520 261627904 261865088 274965850 278490640 280023616 304153600 305827840 325539400 327034880 327331360 328835072 348113300 350029520 351956288 382284800 384389120 408793600 409164200 411043840 416690432 437536900 439945360 445585024 445988978 476915221 480486400 486645760 513804800 520863040 523730176 549931700 556981280 560047232 599425553 608307200 611655680 651078800 654069760 654662720 696226600 700059040 703912576 764569600 768778240 817587200 818328400 822087680 833380864 875073800 879890720 891170048 891977956 953830442 960972800 1027609600 1041726080 1047460352 1099863400 1113962560 1114972445 1120094464 1198851106 1216614400 1302157600 1308139520 1309325440 1392453200 1400118080 1407825152 1529139200 1635174400 1636656800 1644175360 1666761728 1750147600 1759781440 1782340096 1783955912 1907660884 1921945600 2055219200 2083452160 2094920704 2199726800 2227925120 2229944890 2240188928 2384576105 2397702212 2433228800 2604315200 2618650880 2784906400 2800236160 2815650304 2997127765 3058278400 3270348800 3273313600 3333523456 3500295200 3519562880 3564680192 3567911824 3815321768 3843891200 4110438400 4166904320 4189841408 4399453600 4455850240 4459889780 4480377856 4769152210 4795404424 5208630400 5237301760 5569812800 5574862225 5600472320 5631300608 5994255530 6540697600 6546627200 6667046912 7000590400 7039125760 7129360384 7135823648 7630643536 8220876800 8333808640 8379682816 8798907200 8911700480 8919779560 8960755712 9538304420 9590808848 10417260800 10474603520 11139625600 11149724450 11200944640 11262601216 11922880525 11988511060 13093254400 13334093824 14001180800 14078251520 14258720768 14271647296 14985638825 15261287072 16667617280 16759365632 17597814400 17823400960 17839559120 17921511424 19076608840 19181617696 20834521600 20949207040 22279251200 22299448900 22401889280 22525202432 23845761050 23977022120 26186508800 28002361600 28156503040 28517441536 28543294592 29971277650 30522574144 33335234560 35195628800 35646801920 35679118240 35843022848 38153217680 38363235392 41669043200 41898414080 44558502400 44598897800 44803778560 45050404864 47691522100 47954044240 52373017600 56004723200 56313006080 57086589184 59942555300 61045148288 65337385277 66670469120 70391257600 71293603840 71358236480 76306435360 76726470784 83338086400 83796828160 89117004800 89197795600 89607557120 95383044200 95908088480 104746035200 112009446400 112626012160 114173178368 119885110600 122090296576 130674770554 140782515200 142587207680 142716472960 152612870720 153452941568 166676172800 178234009600 178395591200 179215114240 190766088400 191816176960 209492070400 224018892800 225252024320 228346356736 239770221200 244180593152 261349541108 281565030400 285432945920 305225741440 306905883136 326686926385 333352345600 356468019200 356791182400 381532176800 383632353920 418984140800 448037785600 456692713472 479540442400 488361186304 522699082216 563130060800 570865891840 610451482880 613811766272 653373852770 712936038400 713582364800 763064353600 767264707840 896075571200 913385426944 959080884800 976722372608 1045398164432 1126260121600 1141731783680 1220902965760 1227623532544 1306747705540 1427164729600 1526128707200 1534529415680 1633434631925 1826770853888 1918161769600 1953444745216 2090796328864 2283463567360 2441805931520 2455247065088 2613495411080 2854329459200 3052257414400 3069058831360 3266869263850 3836323539200 3906889490432 4181592657728 4566927134720 4883611863040 4910494130176 5226990822160 5708658918400 6104514828800 6138117662720 6533738527700 7672647078400 8363185315456 9133854269440 9767223726080 10453981644320 11417317836800 12209029657600 12276235325440 13067477055400 15345294156800 16726370630912 19534447452160 20907963288640 22834635673600 24418059315200 24552470650880 26134954110800 30690588313600 33452741261824 41815926577280 45669271347200 48836118630400 52269908221600 61381176627200 66905482523648 83631853154560 97672237260800 104539816443200 122762353254400 133810965047296 167263706309120 209079632886400 267621930094592 334527412618240 418159265772800 535243860189184 669054825236480 836318531545600 1338109650472960 1672637063091200 2676219300945920 3345274126182400 6690548252364800 13381096504729600
• Sum of all divisors σ(n): 33851699942378094
• Sum of proper divisors (its aliquot sum) s(n): 20470603437648494
• 13381096504729600 is an abundant number, because the sum of its proper divisors (20470603437648494) is greater than itself. Its abundance is 7089506932918894

Bases of 13381096504729600

• Binary: 101111100010100000100101001111110111101010000000000000₂
• Hexadecimal: 0x2F8A094FDEA000
• Base-36: 3NR7AVD8Q9S

Squares and roots of 13381096504729600

• 13381096504729600 squared (13381096504729600²) is 179053743668886718035169116160000
• 13381096504729600 cubed (13381096504729600³) is 2395935423566489807653254958775805291790336000000
• The square root of 13381096504729600 is 115676689.5477632521
• The cube root of 13381096504729600 is 237409.0303775939

Scales and comparisons

• 13,381,096,504,729,600 seconds is equal to 425,477,478 years, 20 weeks, 6 days, 1 hour, 46 minutes, 40 seconds.
• To count from 1 to 13,381,096,504,729,600 would take you about one billion, two hundred seventy-six million, four hundred thirty-two thousand, four hundred thirty-five 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 13381096504729600 cubic inches would be around 19784.1 feet tall.

Recreational maths with 13381096504729600

• 13381096504729600 backwards is 00692740569018331
• 13381096504729600 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13381096504729600's digits is 64
• More coming soon!