135684713650019437440
135,684,713,650,019,437,440 is an even composite number composed of five prime numbers multiplied together.
135684713650019437440 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 135684713650019437440:
27 × 35 × 5 × 457 × 1909099108321
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 457 × 1909099108321)See below for interesting mathematical facts about the number 135684713650019437440 from the Numbermatics database.
Names of 135684713650019437440
- Cardinal: 135684713650019437440 can be written as One hundred thirty-five quintillion, six hundred eighty-four quadrillion, seven hundred thirteen trillion, six hundred fifty billion, nineteen million, four hundred thirty-seven thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3568471365001943744 × 1020
Factors of 135684713650019437440
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 1909099108788
Divisors of 135684713650019437440
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 243 270 288 320 324 360 384 405 432 457 480 486 540 576 640 648 720 810 864 914 960 972 1080 1152 1215 1296 1371 1440 1620 1728 1828 1920 1944 2160 2285 2430 2592 2742 2880 3240 3456 3656 3888 4113 4320 4570 4860 5184 5484 5760 6480 6855 7312 7776 8226 8640 9140 9720 10368 10968 12339 12960 13710 14624 15552 16452 17280 18280 19440 20565 21936 24678 25920 27420 29248 31104 32904 36560 37017 38880 41130 43872 49356 51840 54840 58496 61695 65808 73120 74034 77760 82260 87744 98712 109680 111051 123390 131616 146240 148068 155520 164520 175488 185085 197424 219360 222102 246780 263232 292480 296136 329040 370170 394848 438720 444204 493560 526464 555255 592272 658080 740340 789696 877440 888408 987120 1110510 1184544 1316160 1480680 1579392 1776816 1974240 2221020 2369088 2632320 2961360 3553632 3948480 4442040 4738176 5922720 7107264 7896960 8884080 11845440 14214528 17768160 23690880 35536320 71072640 1909099108321 3818198216642 5727297324963 7636396433284 9545495541605 11454594649926 15272792866568 17181891974889 19090991083210 22909189299852 28636486624815 30545585733136 34363783949778 38181982166420 45818378599704 51545675924667 57272973249630 61091171466272 68727567899556 76363964332840 85909459874445 91636757199408 103091351849334 114545946499260 122182342932544 137455135799112 152727928665680 154637027774001 171818919748890 183273514398816 206182703698668 229091892998520 244364685865088 257728379623335 274910271598224 305455857331360 309274055548002 343637839497780 366547028797632 412365407397336 458183785997040 463911083322003 515456759246670 549820543196448 610911714662720 618548111096004 687275678995560 733094057595264 773185138870005 824730814794672 872458292502697 916367571994080 927822166644006 1030913518493340 1099641086392896 1221823429325440 1237096222192008 1374551357991120 1546370277740010 1649461629589344 1744916585005394 1832735143988160 1855644333288012 2061827036986680 2199282172785792 2319555416610015 2474192444384016 2617374877508091 2749102715982240 3092740555480020 3298923259178688 3489833170010788 3665470287976320 3711288666576024 4123654073973360 4362291462513485 4639110833220030 4948384888768032 5234749755016182 5498205431964480 6185481110960040 6597846518357376 6979666340021576 7422577333152048 7852124632524273 8247308147946720 8724582925026970 9278221666440060 9896769777536064 10469499510032364 10996410863928960 12370962221920080 13086874387540455 13959332680043152 14845154666304096 15704249265048546 16494616295893440 17449165850053940 18556443332880120 19793539555072128 20938999020064728 23556373897572819 24741924443840160 26173748775080910 27918665360086304 29690309332608192 31408498530097092 32989232591786880 34898331700107880 37112886665760240 39260623162621365 41877998040129456 47112747795145638 49483848887680320 52347497550161820 55837330720172608 59380618665216384 62816997060194184 69796663400215760 70669121692718457 74225773331520480 78521246325242730 83755996080258912 94225495590291276 98967697775360640 104694995100323640 111674661440345216 117781869487864095 125633994120388368 139593326800431520 141338243385436914 148451546663040960 157042492650485460 167511992160517824 188450991180582552 209389990200647280 212007365078155371 235563738975728190 251267988240776736 279186653600863040 282676486770873828 296903093326081920 314084985300970920 335023984321035648 353345608463592285 376901982361165104 418779980401294560 424014730156310742 471127477951456380 502535976481553472 558373307201726080 565352973541747656 628169970601941840 706691216927184570 753803964722330208 837559960802589120 848029460312621484 942254955902912760 1005071952963106944 1060036825390776855 1130705947083495312 1256339941203883680 1413382433854369140 1507607929444660416 1675119921605178240 1696058920625242968 1884509911805825520 2120073650781553710 2261411894166990624 2512679882407767360 2826764867708738280 3015215858889320832 3392117841250485936 3769019823611651040 4240147301563107420 4522823788333981248 5025359764815534720 5653529735417476560 6784235682500971872 7538039647223302080 8480294603126214840 9045647576667962496 11307059470834953120 13568471365001943744 15076079294446604160 16960589206252429680 22614118941669906240 27136942730003887488 33921178412504859360 45228237883339812480 67842356825009718720 135684713650019437440
- Sum of all divisors σ(n): 486952687736263213920
- Sum of proper divisors (its aliquot sum) s(n): 351267974086243776480
- 135684713650019437440 is an abundant number, because the sum of its proper divisors (351267974086243776480) is greater than itself. Its abundance is 215583260436224339040
Bases of 135684713650019437440
- Binary: 11101011011000000001111000000101101001000000000000100001011100000002
- Hexadecimal: 0x75B00F02D20010B80
- Base-36: SMVA0RU2B7C00
Squares and roots of 135684713650019437440
- 135684713650019437440 squared (1356847136500194374402) is 18410341518287771049460978489814073753600
- 135684713650019437440 cubed (1356847136500194374403) is 2498001917107940303051514080691739673798933708309741174784000
-
The
square root of 135684713650019437440 is 11648378155.3493290357 -
The
cube root of 135684713650019437440 is 5138586.1359001835
Scales and comparisons
How big is 135684713650019437440?- 135,684,713,650,019,437,440 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 135,684,713,650,019,437,440 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 135684713650019437440 cubic inches would be around 428215.5 feet tall.
Recreational maths with 135684713650019437440
- 135684713650019437440 backwards is 044734910056317486531
- 135684713650019437440 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 135684713650019437440's digits is 81
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 135684713650019437440 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 135684713650019437440 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/135684713650019437440/
Chicago style:
Numbermatics. 2024. "Number 135684713650019437440 - Facts about the integer". https://numbermatics.com/n/135684713650019437440/
The information we have on file for 135684713650019437440 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!
Keywords: Divisors of 135684713650019437440, math, Factors of 135684713650019437440, curriculum, school, college, exams, university, Prime factorization of 135684713650019437440, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five quintillion, six hundred eighty-four quadrillion, seven hundred thirteen trillion, six hundred fifty billion, nineteen million, four hundred thirty-seven thousand, four hundred forty.