135642897993600
135,642,897,993,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 135642897993600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
135642897993600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 135642897993600:
27 × 33 × 52 × 19 × 4999 × 16529
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 19 × 4999 × 16529)See below for interesting mathematical facts about the number 135642897993600 from the Numbermatics database.
Names of 135642897993600
- Cardinal: 135642897993600 can be written as One hundred thirty-five trillion, six hundred forty-two billion, eight hundred ninety-seven million, nine hundred ninety-three thousand, six hundred.
Scientific notation
- Scientific notation: 1.356428979936 × 1014
Factors of 135642897993600
Divisors of 135642897993600
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 72 75 76 80 90 95 96 100 108 114 120 128 135 144 150 152 160 171 180 190 192 200 216 225 228 240 270 285 288 300 304 320 342 360 380 384 400 432 450 456 475 480 513 540 570 576 600 608 640 675 684 720 760 800 855 864 900 912 950 960 1026 1080 1140 1152 1200 1216 1350 1368 1425 1440 1520 1600 1710 1728 1800 1824 1900 1920 2052 2160 2280 2400 2432 2565 2700 2736 2850 2880 3040 3200 3420 3456 3600 3648 3800 4104 4275 4320 4560 4800 4999 5130 5400 5472 5700 5760 6080 6840 7200 7296 7600 8208 8550 8640 9120 9600 9998 10260 10800 10944 11400 12160 12825 13680 14400 14997 15200 16416 16529 17100 17280 18240 19996 20520 21600 21888 22800 24995 25650 27360 28800 29994 30400 32832 33058 34200 36480 39992 41040 43200 44991 45600 49587 49990 51300 54720 59988 60800 65664 66116 68400 74985 79984 82080 82645 86400 89982 91200 94981 99174 99980 102600 109440 119976 124975 132232 134973 136800 148761 149970 159968 164160 165290 179964 182400 189962 198348 199960 205200 224955 239952 247935 249950 264464 269946 273600 284943 297522 299940 314051 319936 328320 330580 359928 374925 379924 396696 399920 410400 413225 446283 449910 474905 479904 495870 499900 528928 539892 547200 569886 595044 599880 628102 639872 661160 674865 719856 743805 749850 759848 793392 799840 820800 826450 854829 892566 899820 942153 949810 959808 991740 999800 1057856 1079784 1124775 1139772 1190088 1199760 1239675 1256204 1322320 1349730 1424715 1439712 1487610 1499700 1519696 1570255 1586784 1599680 1641600 1652900 1709658 1785132 1799640 1884306 1899620 1919616 1983480 1999600 2115712 2159568 2231415 2249550 2279544 2374525 2380176 2399520 2479350 2512408 2564487 2644640 2699460 2826459 2849430 2879424 2975220 2999400 3039392 3140510 3173568 3199360 3305800 3374325 3419316 3570264 3599280 3719025 3768612 3799240 3966960 3999200 4274145 4319136 4462830 4499100 4559088 4710765 4749050 4760352 4799040 4958700 5024816 5128974 5289280 5398920 5652918 5698860 5758848 5950440 5998800 6078784 6281020 6347136 6611600 6748650 6838632 7123575 7140528 7198560 7438050 7537224 7598480 7851275 7933920 7998400 8479377 8548290 8638272 8925660 8998200 9118176 9421530 9498100 9520704 9598080 9917400 10049632 10257948 10578560 10797840 11157075 11305836 11397720 11900880 11997600 12157568 12562040 12822435 13223200 13497300 13677264 14132295 14247150 14281056 14397120 14876100 15074448 15196960 15702550 15867840 15996800 16958754 17096580 17276544 17851320 17996400 18236352 18843060 18996200 19041408 19834800 20099264 20515896 21370725 21595680 22314150 22611672 22795440 23553825 23801760 23995200 25124080 25644870 26446400 26994600 27354528 28264590 28494300 28562112 28794240 29752200 30148896 30393920 31405100 31735680 33917508 34193160 35702640 35992800 36472704 37686120 37992400 39669600 40198528 41031792 42396885 42741450 43191360 44628300 45223344 45590880 47107650 47603520 47990400 50248160 51289740 52892800 53989200 54709056 56529180 56988600 57124224 59504400 60297792 60787840 62810200 64112175 67835016 68386320 70661475 71405280 71985600 75372240 75984800 79339200 82063584 82628471 84793770 85482900 86382720 89256600 90446688 91181760 94215300 95207040 100496320 102579480 107978400 109418112 113058360 113977200 119008800 120595584 125620400 128224350 135670032 136772640 141322950 142810560 143971200 150744480 151969600 158678400 164127168 165256942 169587540 170965800 178513200 180893376 182363520 188430600 200992640 205158960 211984425 215956800 226116720 227954400 238017600 247885413 251240800 256448700 271340064 273545280 282645900 285621120 301488960 303939200 328254336 330513884 339175080 341931600 357026400 361786752 376861200 410317920 413142355 423968850 431913600 452233440 455908800 476035200 495770826 502481600 512897400 542680128 547090560 565291800 602977920 661027768 678350160 683863200 714052800 743656239 753722400 820635840 826284710 847937700 904466880 911817600 991541652 1004963200 1025794800 1085360256 1130583600 1239427065 1322055536 1356700320 1367726400 1428105600 1487312478 1507444800 1569940949 1641271680 1652569420 1695875400 1808933760 1983083304 2051589600 2065711775 2230968717 2261167200 2478854130 2644111072 2713400640 2735452800 2974624956 3014889600 3139881898 3305138840 3391750800 3718281195 3966166608 4103179200 4131423550 4461937434 4522334400 4709822847 4957708260 5288222144 5426801280 5949249912 6197135325 6279763796 6610277680 6783501600 7436562390 7849704745 7932333216 8206358400 8262847100 8923874868 9044668800 9419645694 9915416520 10576444288 11154843585 11898499824 12394270650 12559527592 13220555360 13567003200 14129468541 14873124780 15699409490 15864666432 16525694200 17847749736 18591405975 18839291388 19830833040 22309687170 23549114235 23796999648 24788541300 25119055184 26441110720 27134006400 28258937082 29746249560 31398818980 31729332864 33051388400 35695499472 37182811950 37678582776 39248523725 39661666080 42388405623 44619374340 47098228470 47593999296 49577082600 50238110368 52882221440 55774217925 56517874164 59492499120 62797637960 66102776800 70647342705 71390998944 74365623900 75357165552 78497047450 79323332160 84776811246 89238748680 94196456940 95187998592 99154165200 100476220736 111548435850 113035748328 117745571175 118984998240 125595275920 132205553600 141294685410 142781997888 148731247800 150714331104 156994094900 158646664320 169553622492 178477497360 188392913880 198308330400 200952441472 211942028115 223096871700 226071496656 235491142350 237969996480 251190551840 264411107200 282589370820 285563995776 297462495600 301428662208 313988189800 339107244984 353236713525 356954994720 376785827760 396616660800 423884056230 446193743400 452142993312 470982284700 475939992960 502381103680 565178741640 594924991200 602857324416 627976379600 678214489968 706473427050 713909989440 753571655520 793233321600 847768112460 892387486800 904285986624 941964569400 1004762207360 1059710140575 1130357483280 1189849982400 1255952759200 1356428979936 1412946854100 1427819978880 1507143311040 1695536224920 1784774973600 1808571973248 1883929138800 2119420281150 2260714966560 2379699964800 2511905518400 2712857959872 2825893708200 3014286622080 3391072449840 3569549947200 3767858277600 4238840562300 4521429933120 5023811036800 5425715919744 5651787416400 6782144899680 7139099894400 7535716555200 8477681124600 9042859866240 11303574832800 13564289799360 15071433110400 16955362249200 22607149665600 27128579598720 33910724498400 45214299331200 67821448996800 135642897993600
- Sum of all divisors σ(n): 522678600000000
- Sum of proper divisors (its aliquot sum) s(n): 387035702006400
- 135642897993600 is an abundant number, because the sum of its proper divisors (387035702006400) is greater than itself. Its abundance is 251392804012800
Bases of 135642897993600
- Binary: 111101101011101110100101100000001001111100000002
- Hexadecimal: 0x7B5DD2C04F80
- Base-36: 1C2XHJ9PC0
Squares and roots of 135642897993600
- 135642897993600 squared (1356428979936002) is 18398995776102174905640960000
- 135642897993600 cubed (1356428979936003) is 2495693107242504575336962442505977856000000
-
The
square root of 135642897993600 is 11646583.1037948635 -
The
cube root of 135642897993600 is 51380.5820752921
Scales and comparisons
How big is 135642897993600?- 135,642,897,993,600 seconds is equal to 4,313,024 years, 30 weeks, 3 days.
-
To count from 1 to 135,642,897,993,600 would take you about ten million, seven hundred eighty-two thousand, five hundred sixty-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 135642897993600 cubic inches would be around 4281.7 feet tall.
Recreational maths with 135642897993600
- 135642897993600 backwards is 006399798246531
- 135642897993600 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135642897993600's digits is 72
- More coming soon!
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The information we have on file for 135642897993600 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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