131139728568393656400
131,139,728,568,393,656,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 131139728568393656400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 360 divisors.
131139728568393656400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 131139728568393656400:
24 × 32 × 52 × 4799 × 3313 × 2291182027
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 4799 × 3313 × 2291182027)See below for interesting mathematical facts about the number 131139728568393656400 from the Numbermatics database.
Names of 131139728568393656400
- Cardinal: 131139728568393656400 can be written as One hundred thirty-one quintillion, one hundred thirty-nine quadrillion, seven hundred twenty-eight trillion, five hundred sixty-eight billion, three hundred ninety-three million, six hundred fifty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.311397285683936564 × 1020
Factors of 131139728568393656400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 2291190149
Divisors of 131139728568393656400
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3313 3600 4799 6626 9598 9939 13252 14397 16565 19196 19878 23995 26504 28794 29817 33130 38392 39756 43191 47990 49695 53008 57588 59634 66260 71985 76784 79512 82825 86382 95980 99390 115176 119268 119975 132520 143970 149085 159024 165650 172764 191960 198780 215955 230352 238536 239950 248475 265040 287940 298170 331300 345528 359925 383920 397560 431910 477072 479900 496950 575880 596340 662600 691056 719850 745425 795120 863820 959800 993900 1079775 1151760 1192680 1325200 1439700 1490850 1727640 1919600 1987800 2159550 2385360 2879400 2981700 3455280 3975600 4319100 5758800 5963400 8638200 11926800 15899087 17276400 31798174 47697261 63596348 79495435 95394522 127192696 143091783 158990870 190789044 238486305 254385392 286183566 317981740 381578088 397477175 476972610 572367132 635963480 715458915 763156176 794954350 953945220 1144734264 1192431525 1271926960 1430917830 1589908700 1907890440 2289468528 2291182027 2384863050 2861835660 3179817400 3577294575 3815780880 4582364054 4769726100 5723671320 6359634800 6873546081 7154589150 9164728108 9539452200 11447342640 11455910135 13747092162 14309178300 18329456216 19078904400 20620638243 22911820270 27494184324 28618356600 34367730405 36658912432 41241276486 45823640540 54988368648 57236713200 57279550675 68735460810 82482552972 91647281080 103103191215 109976737296 114559101350 137470921620 164965105944 171838652025 183294562160 206206382430 229118202700 274941843240 329930211888 343677304050 412412764860 458236405400 515515956075 549883686480 687354608100 824825529720 916472810800 1031031912150 1374709216200 1649651059440 2062063824300 2749418432400 4124127648600 7590686055451 8248255297200 10995382547573 15181372110902 21990765095146 22772058166353 30362744221804 32986147642719 37953430277255 43981530190292 45544116332706 54976912737865 60725488443608 65972295285438 68316174499059 75906860554510 87963060380584 91088232665412 98958442928157 109953825475730 113860290831765 121450976887216 131944590570876 136632348998118 151813721109020 164930738213595 175926120761168 182176465330824 189767151386275 197916885856314 219907650951460 227720581663530 263889181141752 273264697996236 274884563689325 303627442218040 329861476427190 341580872495295 364352930661648 379534302772550 395833771712628 439815301902920 455441163327060 494792214640785 527778362283504 546529395992472 549769127378650 569301454158825 607254884436080 659722952854380 683161744990590 759068605545100 791667543425256 824653691067975 879630603805840 910882326654120 989584429281570 1093058791984944 1099538254757300 1138602908317650 1319445905708760 1366323489981180 1518137211090200 1583335086850512 1649307382135950 1707904362476475 1821764653308240 1979168858563140 2199076509514600 2277205816635300 2473961073203925 2638891811417520 2732646979962360 3036274422180400 3298614764271900 3415808724952950 3958337717126280 4398153019029200 4554411633270600 4947922146407850 5465293959924720 6597229528543800 6831617449905900 7916675434252560 9108823266541200 9895844292815700 13194459057087600 13663234899811800 19791688585631400 27326469799623600 36427702380109349 39583377171262800 72855404760218698 109283107140328047 145710809520437396 182138511900546745 218566214280656094 291421619040874792 327849321420984141 364277023801093490 437132428561312188 546415535701640235 582843238081749584 655698642841968282 728554047602186980 874264857122624376 910692559502733725 1092831071403280470 1311397285683936564 1457108095204373960 1639246607104920705 1748529714245248752 1821385119005467450 2185662142806560940 2622794571367873128 2732077678508201175 2914216190408747920 3278493214209841410 3642770238010934900 4371324285613121880 5245589142735746256 5464155357016402350 6556986428419682820 7285540476021869800 8196233035524603525 8742648571226243760 10928310714032804700 13113972856839365640 14571080952043739600 16392466071049207050 21856621428065609400 26227945713678731280 32784932142098414100 43713242856131218800 65569864284196828200 131139728568393656400
- Sum of all divisors σ(n): 455323510412229388800
- Sum of proper divisors (its aliquot sum) s(n): 324183781843835732400
- 131139728568393656400 is an abundant number, because the sum of its proper divisors (324183781843835732400) is greater than itself. Its abundance is 193044053275442076000
Bases of 131139728568393656400
- Binary: 11100011011111011011110100001010011001011000011111111101000010100002
- Hexadecimal: 0x71BEDE8532C3FE850
- Base-36: ROC6A0VVCJ1W0
Squares and roots of 131139728568393656400
- 131139728568393656400 squared (1311397285683936564002) is 17197628408991963317514267035761260960000
- 131139728568393656400 cubed (1311397285683936564003) is 2255292321575301716440255283445706434853751554528974144000000
-
The
square root of 131139728568393656400 is 11451625586.2822225085 -
The
cube root of 131139728568393656400 is 5080558.1537966849
Scales and comparisons
How big is 131139728568393656400?- 131,139,728,568,393,656,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 131,139,728,568,393,656,400 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 131139728568393656400 cubic inches would be around 423379.8 feet tall.
Recreational maths with 131139728568393656400
- 131139728568393656400 backwards is 004656393865827931131
- 131139728568393656400 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 131139728568393656400's digits is 90
- More coming soon!
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The information we have on file for 131139728568393656400 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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