13457234756812800

Names of 13457234756812800

• Cardinal: 13457234756812800 can be written as Thirteen quadrillion, four hundred fifty-seven trillion, two hundred thirty-four billion, seven hundred fifty-six million, eight hundred twelve thousand, eight hundred.

Scientific notation

• Scientific notation: 1.34572347568128 × 10¹⁶

Factors of 13457234756812800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 5742

Divisors of 13457234756812800

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 64 68 75 80 85 96 100 102 120 128 136 150 160 170 192 200 204 240 255 256 272 281 300 320 340 384 400 408 425 461 480 510 512 544 562 600 640 680 768 800 816 843 850 922 960 1020 1024 1088 1124 1200 1275 1280 1360 1383 1405 1536 1600 1632 1686 1700 1844 1920 2040 2048 2176 2248 2305 2400 2550 2560 2720 2766 2810 3072 3200 3264 3372 3400 3688 3840 4080 4096 4215 4352 4496 4610 4777 4800 4973 5100 5120 5440 5532 5620 6144 6400 6528 6744 6800 6915 7025 7376 7680 7837 8160 8192 8430 8704 8992 9220 9554 9600 9946 10200 10240 10880 11064 11240 11525 12288 12800 13056 13488 13600 13830 14050 14331 14752 14919 15360 15674 16320 16384 16860 17408 17984 18440 19108 19200 19892 20400 20480 21075 21760 22128 22480 23050 23511 23885 24576 24865 25600 26112 26976 27200 27660 28100 28662 29504 29838 30720 31348 32640 33720 34575 34816 35968 36880 38216 38400 39185 39784 40800 40960 42150 43520 44256 44960 46100 47022 47770 49152 49730 51200 52224 53952 54400 55320 56200 57324 59008 59676 61440 62696 65280 67440 69150 69632 71655 71936 73760 74595 76432 76800 78370 79568 81600 81920 84300 84541 87040 88512 89920 92200 94044 95540 99460 102400 104448 107904 108800 110640 112400 114648 117555 118016 119352 119425 122880 124325 125392 129541 130560 134880 138300 139264 143310 143872 147520 149190 152864 153600 156740 159136 163200 168600 169082 174080 177024 179840 184400 188088 191080 195925 198920 204800 208896 215808 217600 221280 224800 229296 235110 236032 238704 238850 245760 248650 250784 253623 259082 261120 269760 276600 278528 286620 287744 295040 298380 305728 307200 313480 318272 326400 337200 338164 348160 354048 358275 359680 368800 372975 376176 382160 388623 391850 397840 409600 417792 422705 431616 435200 442560 449600 458592 470220 472064 477408 477700 497300 501568 507246 518164 522240 539520 553200 573240 575488 587775 590080 596760 611456 614400 626960 636544 647705 652800 674400 676328 696320 708096 716550 719360 737600 745950 752352 764320 777246 783700 795680 835584 845410 863232 870400 885120 899200 917184 940440 944128 954816 955400 994600 1003136 1014492 1036328 1044480 1079040 1106400 1146480 1150976 1175550 1180160 1193520 1222912 1228800 1253920 1268115 1273088 1295410 1305600 1348800 1352656 1392640 1397413 1416192 1433100 1438720 1475200 1491900 1504704 1528640 1554492 1567400 1591360 1690820 1726464 1740800 1770240 1798400 1834368 1880880 1888256 1909632 1910800 1943115 1989200 2006272 2028984 2072656 2088960 2113525 2158080 2202197 2212800 2292553 2292960 2301952 2351100 2360320 2387040 2445824 2507840 2536230 2546176 2590820 2611200 2697600 2705312 2794826 2832384 2866200 2877440 2950400 2983800 3009408 3057280 3108984 3134800 3182720 3238525 3381640 3452928 3481600 3540480 3596800 3668736 3761760 3776512 3819264 3821600 3886230 3978400 4012544 4057968 4145312 4177920 4192239 4227050 4316160 4404394 4425600 4585106 4585920 4603904 4702200 4720640 4774080 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72978496512 74828929920 76019267200 77304887160 79589990400 79817525248 82458546304 84564364800 85857054720 87612205448 88034035200 90201989120 91223120640 93536162400 93902970880 96631108950 97304662016 99771906560 103073182880 103883980800 107321318400 108242386944 109515256810 112683565056 112752486400 114028900800 114476072960 117378713600 119726287872 121630827520 123687819456 124714883200 128841478600 131418308172 135302983680 140854456320 143095091200 145956993024 149657859840 152038534400 154609774320 159179980800 159635050496 164272885215 164917092608 169128729600 171714109440 175224410896 176068070400 180403978240 182446241280 187072324800 187805941760 193262217900 194609324032 199543813120 206146365760 214642636800 219030513620 225504972800 228057801600 234757427200 239452575744 243261655040 247375638912 249429766400 257682957200 262836616344 270605967360 273788142025 281708912640 286190182400 291913986048 299315719680 304077068800 309219548640 319270100992 328545770430 329834185216 338257459200 343428218880 350448821792 352136140800 364892482560 374144649600 386524435800 389218648064 399087626240 412292731520 429285273600 438061027240 451009945600 456115603200 469514854400 478905151488 486523310080 494751277824 498859532800 515365914400 525673232688 541211934720 547576284050 563417825280 572380364800 583827972096 598631439360 608154137600 618439097280 638540201984 657091540860 659668370432 676514918400 700897643584 704272281600 729784965120 748289299200 773048871600 798175252480 821364426075 824585463040 858570547200 876122054480 902019891200 912231206400 939029708800 957810302976 973046620160 989502555648 997719065600 1030731828800 1051346465376 1095152568100 1167655944192 1197262878720 1216308275200 1236878194560 1314183081720 1319336740864 1353029836800 1401795287168 1408544563200 1459569930240 1496578598400 1546097743200 1596350504960 1642728852150 1649170926080 1717141094400 1752244108960 1824462412800 1915620605952 1946093240320 1979005111296 1995438131200 2061463657600 2102692930752 2190305136200 2394525757440 2432616550400 2473756389120 2628366163440 2638673481728 2706059673600 2803590574336 2817089126400 2919139860480 2993157196800 3092195486400 3192701009920 3285457704300 3298341852160 3504488217920 3648924825600 3958010222592 3990876262400 4122927315200 4205385861504 4380610272400 4789051514880 4865233100800 4947512778240 5256732326880 5277346963456 5607181148672 5838279720960 5986314393600 6184390972800 6570915408600 6596683704320 7008976435840 7297849651200 7916020445184 7981752524800 8245854630400 8410771723008 8761220544800 9578103029760 9730466201600 9895025556480 10513464653760 10554693926912 11214362297344 11972628787200 12368781945600 13141830817200 13193367408640 14017952871680 14595699302400 15832040890368 15963505049600 16491709260800 16821543446016 17522441089600 19790051112960 21026929307520 22428724594688 23945257574400 24737563891200 26283661634400 26386734817280 28035905743360 29191398604800 31664081780736 32983418521600 33643086892032 35044882179200 39580102225920 42053858615040 44857449189376 47890515148800 49475127782400 52567323268800 52773469634560 56071811486720 65966837043200 67286173784064 70089764358400 79160204451840 84107717230080 89714898378752 98950255564800 105134646537600 112143622973440 131933674086400 134572347568128 140179528716800 158320408903680 168215434460160 179429796757504 197900511129600 210269293075200 224287245946880 263867348172800 269144695136256 280359057433600 336430868920320 395801022259200 420538586150400 448574491893760 538289390272512 560718114867200 672861737840640 791602044518400 841077172300800 897148983787520 1121436229734400 1345723475681280 1682154344601600 2242872459468800 2691446951362560 3364308689203200 4485744918937600 6728617378406400 13457234756812800
• Sum of all divisors σ(n): 47394477113949504
• Sum of proper divisors (its aliquot sum) s(n): 33937242357136704
• 13457234756812800 is an abundant number, because the sum of its proper divisors (33937242357136704) is greater than itself. Its abundance is 20480007600323904

Bases of 13457234756812800

• Binary: 101111110011110100100010100001010101101100000000000000₂
• Hexadecimal: 0x2FCF48A156C000
• Base-36: 3OI6WAUP91C

Squares and roots of 13457234756812800

• 13457234756812800 squared (13457234756812800²) is 181097167299970460356014243840000
• 13457234756812800 cubed (13457234756812800³) is 2437067094149504934457691006012075280433152000000
• The square root of 13457234756812800 is 116005322.1055516917
• The cube root of 13457234756812800 is 237858.4637174243

Scales and comparisons

• 13,457,234,756,812,800 seconds is equal to 427,898,439 years, 15 weeks, 6 days, 13 hours, 20 minutes.
• To count from 1 to 13,457,234,756,812,800 would take you about one billion, two hundred eighty-three million, six hundred ninety-five thousand, three hundred seventeen 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 13457234756812800 cubic inches would be around 19821.5 feet tall.

Recreational maths with 13457234756812800

• 13457234756812800 backwards is 00821865743275431
• The number of decimal digits it has is: 17
• The sum of 13457234756812800's digits is 66
• More coming soon!