13318311834898728000
13,318,311,834,898,728,000 is an even composite number composed of six prime numbers multiplied together.
13318311834898728000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 13318311834898728000:
26 × 3 × 53 × 72 × 31 × 365325648313
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 31 × 365325648313)See below for interesting mathematical facts about the number 13318311834898728000 from the Numbermatics database.
Names of 13318311834898728000
- Cardinal: 13318311834898728000 can be written as Thirteen quintillion, three hundred eighteen quadrillion, three hundred eleven trillion, eight hundred thirty-four billion, eight hundred ninety-eight million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3318311834898728 × 1019
Factors of 13318311834898728000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 365325648361
Divisors of 13318311834898728000
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 42 48 49 50 56 60 62 64 70 75 80 84 93 96 98 100 105 112 120 124 125 140 147 150 155 160 168 175 186 192 196 200 210 217 224 240 245 248 250 280 294 300 310 320 336 350 372 375 392 400 420 434 448 465 480 490 496 500 525 560 588 600 620 651 672 700 735 744 750 775 784 800 840 868 875 930 960 980 992 1000 1050 1085 1120 1176 1200 1225 1240 1302 1344 1400 1470 1488 1500 1519 1550 1568 1600 1680 1736 1750 1860 1960 1984 2000 2100 2170 2240 2325 2352 2400 2450 2480 2604 2625 2800 2940 2976 3000 3038 3100 3136 3255 3360 3472 3500 3675 3720 3875 3920 4000 4200 4340 4557 4650 4704 4800 4900 4960 5208 5250 5425 5600 5880 5952 6000 6076 6125 6200 6510 6720 6944 7000 7350 7440 7595 7750 7840 8000 8400 8680 9114 9300 9408 9800 9920 10416 10500 10850 11200 11625 11760 12000 12152 12250 12400 13020 13888 14000 14700 14880 15190 15500 15680 16275 16800 17360 18228 18375 18600 19600 20832 21000 21700 22785 23250 23520 24000 24304 24500 24800 26040 27125 28000 29400 29760 30380 31000 32550 33600 34720 36456 36750 37200 37975 39200 41664 42000 43400 45570 46500 47040 48608 49000 49600 52080 54250 56000 58800 60760 62000 65100 69440 72912 73500 74400 75950 78400 81375 84000 86800 91140 93000 97216 98000 104160 108500 113925 117600 121520 124000 130200 145824 147000 148800 151900 162750 168000 173600 182280 186000 189875 196000 208320 217000 227850 235200 243040 248000 260400 291648 294000 303800 325500 347200 364560 372000 379750 392000 434000 455700 486080 520800 569625 588000 607600 651000 729120 744000 759500 868000 911400 1041600 1139250 1176000 1215200 1302000 1458240 1519000 1736000 1822800 2278500 2430400 2604000 3038000 3645600 4557000 5208000 6076000 7291200 9114000 12152000 18228000 36456000 365325648313 730651296626 1095976944939 1461302593252 1826628241565 2191953889878 2557279538191 2922605186504 3653256483130 4383907779756 5114559076382 5479884724695 5845210373008 7306512966260 7671838614573 8767815559512 9133141207825 10229118152764 10959769449390 11325095097703 11690420746016 12786397690955 14613025932520 15343677229146 17535631119024 17900956767337 18266282415650 20458236305528 21919538898780 22650190195406 23380841492032 25572795381910 27399423623475 29226051865040 30687354458292 33975285293109 35071262238048 35801913534674 36532564831300 38359193072865 40916472611056 43839077797560 45300380390812 45665706039125 51145590763820 53702870302011 54798847246950 56625475488515 58452103730080 61374708916584 63931988454775 67950570586218 70142524476096 71603827069348 73065129662600 76718386145730 79275665683921 81832945222112 87678155595120 89504783836685 90600760781624 91331412078250 102291181527640 107405740604022 109597694493900 113250950977030 116904207460160 122749417833168 127863976909550 135901141172436 136997118117375 143207654138696 146130259325200 153436772291460 158551331367842 163665890444224 169876426465545 175356311190240 179009567673370 181201521563248 182662824156500 191795965364325 204582363055280 214811481208044 219195388987800 226501901954060 237826997051763 245498835666336 255727953819100 268514351510055 271802282344872 273994236234750 283127377442575 286415308277392 292260518650400 306873544582920 317102662735684 319659942273875 339752852931090 350712622380480 358019135346740 362403043126496 365325648313000 383591930728650 396378328419605 409164726110560 429622962416088 438390777975600 447523919183425 453003803908120 475653994103526 490997671332672 511455907638200 537028703020110 543604564689744 547988472469500 554929659787447 566254754885150 572830616554784 584521037300800 613747089165840 634205325471368 639319884547750 679505705862180 716038270693480 724806086252992 730651296626000 767183861457300 792756656839210 818329452221120 849382132327725 859245924832176 876781555951200 895047838366850 906007607816240 951307988207052 958979826821625 1022911815276400 1074057406040220 1087209129379488 1095976944939000 1109859319574894 1132509509770300 1145661233109568 1189134985258815 1227494178331680 1268410650942736 1278639769095500 1342571757550275 1359011411724360 1415636887212875 1432076541386960 1461302593252000 1534367722914600 1585513313678420 1664788979362341 1698764264655450 1718491849664352 1753563111902400 1790095676733700 1812015215632480 1902615976414104 1917959653643250 1981891642098025 2045823630552800 2148114812080440 2174418258758976 2191953889878000 2219718639149788 2237619595917125 2265019019540600 2378269970517630 2454988356663360 2536821301885472 2557279538191000 2685143515100550 2718022823448720 2774648298937235 2831273774425750 2864153082773920 2922605186504000 3068735445829200 3171026627356840 3329577958724682 3397528529310900 3436983699328704 3580191353467400 3624030431264960 3805231952828208 3835919307286500 3963783284196050 4091647261105600 4246910661638625 4296229624160880 4383907779756000 4439437278299576 4475239191834250 4530038039081200 4756539941035260 5073642603770944 5114559076382000 5370287030201100 5436045646897440 5549296597874470 5662547548851500 5728306165547840 5945674926294075 6137470891658400 6342053254713680 6659155917449364 6712858787751375 6795057058621800 7160382706934800 7610463905656416 7671838614573000 7927566568392100 8323944896811705 8493821323277250 8592459248321760 8767815559512000 8878874556599152 8950478383668500 9060076078162400 9513079882070520 9909458210490125 10229118152764000 10740574060402200 10872091293794880 11098593195748940 11325095097703000 11891349852588150 12274941783316800 12684106509427360 13318311834898728 13425717575502750 13590114117243600 13873241494686175 14320765413869600 15220927811312832 15343677229146000 15855133136784200 16647889793623410 16987642646554500 17184918496643520 17757749113198304 17900956767337000 18120152156324800 19026159764141040 19818916420980250 20458236305528000 21481148120804400 22197186391497880 22650190195406000 23782699705176300 25368213018854720 26636623669797456 26851435151005500 27180228234487200 27746482989372350 28641530827739200 29728374631470375 30687354458292000 31710266273568400 33295779587246820 33975285293109000 35515498226396608 35801913534674000 38052319528282080 39637832841960500 41619724484058525 42962296241608800 44394372782995760 45300380390812000 47565399410352600 53273247339594912 53702870302011000 54360456468974400 55492965978744700 59456749262940750 61374708916584000 63420532547136800 66591559174493640 67950570586218000 69366207473430875 71603827069348000 76104639056564160 79275665683921000 83239448968117050 85924592483217600 88788745565991520 90600760781624000 95130798820705200 106546494679189824 107405740604022000 110985931957489400 118913498525881500 126841065094273600 133183118348987280 135901141172436000 138732414946861750 143207654138696000 158551331367842000 166478897936234100 177577491131983040 190261597641410400 208098622420292625 214811481208044000 221971863914978800 237826997051763000 266366236697974560 271802282344872000 277464829893723500 317102662735684000 332957795872468200 380523195282820800 416197244840585250 429622962416088000 443943727829957600 475653994103526000 532732473395949120 554929659787447000 634205325471368000 665915591744936400 832394489681170500 887887455659915200 951307988207052000 1109859319574894000 1331831183489872800 1664788979362341000 1902615976414104000 2219718639149788000 2663662366979745600 3329577958724682000 4439437278299576000 6659155917449364000 13318311834898728000
- Sum of all divisors σ(n): 52807220407120278528
- Sum of proper divisors (its aliquot sum) s(n): 39488908572221550528
- 13318311834898728000 is an abundant number, because the sum of its proper divisors (39488908572221550528) is greater than itself. Its abundance is 26170596737322822528
Bases of 13318311834898728000
- Binary: 10111000110101000010011000001100111001110000010100000100010000002
- Hexadecimal: 0xB8D4260CE7050440
- Base-36: 2T6PFIW6TBUIO
Squares and roots of 13318311834898728000
- 13318311834898728000 squared (133183118348987280002) is 177377430131603523072702016017984000000
- 13318311834898728000 cubed (133183118348987280003) is 2362367926965657441762575073372057201474466724352000000000
-
The
square root of 13318311834898728000 is 3649426233.6562891541 -
The
cube root of 13318311834898728000 is 2370371.3705818735
Scales and comparisons
How big is 13318311834898728000?- 13,318,311,834,898,728,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,318,311,834,898,728,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13318311834898728000 cubic inches would be around 197530.9 feet tall.
Recreational maths with 13318311834898728000
- 13318311834898728000 backwards is 00082789843811381331
- The number of decimal digits it has is: 20
- The sum of 13318311834898728000's digits is 78
- More coming soon!
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The information we have on file for 13318311834898728000 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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