135306346302391680
135,306,346,302,391,680 is an even composite number composed of five prime numbers multiplied together.
135306346302391680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 135306346302391680:
27 × 33 × 5 × 13 × 602325259537
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 602325259537)See below for interesting mathematical facts about the number 135306346302391680 from the Numbermatics database.
Names of 135306346302391680
- Cardinal: 135306346302391680 can be written as One hundred thirty-five quadrillion, three hundred six trillion, three hundred forty-six billion, three hundred two million, three hundred ninety-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3530634630239168 × 1017
Factors of 135306346302391680
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 602325259560
Divisors of 135306346302391680
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 90 96 104 108 117 120 128 130 135 144 156 160 180 192 195 208 216 234 240 260 270 288 312 320 351 360 384 390 416 432 468 480 520 540 576 585 624 640 702 720 780 832 864 936 960 1040 1080 1152 1170 1248 1404 1440 1560 1664 1728 1755 1872 1920 2080 2160 2340 2496 2808 2880 3120 3456 3510 3744 4160 4320 4680 4992 5616 5760 6240 7020 7488 8320 8640 9360 11232 12480 14040 14976 17280 18720 22464 24960 28080 37440 44928 56160 74880 112320 224640 602325259537 1204650519074 1806975778611 2409301038148 3011626297685 3613951557222 4818602076296 5420927335833 6023252595370 7227903114444 7830228373981 9034878893055 9637204152592 10841854671666 12046505190740 14455806228888 15660456747962 16262782007499 18069757786110 19274408305184 21683709343332 23490685121943 24093010381480 27104636679165 28911612457776 31320913495924 32525564014998 36139515572220 38548816610368 39151141869905 43367418686664 46981370243886 48186020762960 54209273358330 57823224915552 62641826991848 65051128029996 70472055365829 72279031144440 77097633220736 78302283739810 81313910037495 86734837373328 93962740487772 96372041525920 108418546716660 115646449831104 117453425609715 125283653983696 130102256059992 140944110731658 144558062288880 156604567479620 162627820074990 173469674746656 187925480975544 192744083051840 211416166097487 216837093433320 231292899662208 234906851219430 250567307967392 260204512119984 281888221463316 289116124577760 313209134959240 325255640149980 346939349493312 352360276829145 375850961951088 385488166103680 422832332194974 433674186866640 469813702438860 501134615934784 520409024239968 563776442926632 578232249155520 626418269918480 650511280299960 693878698986624 704720553658290 751701923902176 845664664389948 867348373733280 939627404877720 1002269231869568 1040818048479936 1057080830487435 1127552885853264 1156464498311040 1252836539836960 1301022560599920 1409441107316580 1503403847804352 1691329328779896 1734696747466560 1879254809755440 2081636096959872 2114161660974870 2255105771706528 2505673079673920 2602045121199840 2818882214633160 3006807695608704 3382658657559792 3469393494933120 3758509619510880 4228323321949740 4510211543413056 5011346159347840 5204090242399680 5637764429266320 6765317315119584 7517019239021760 8456646643899480 9020423086826112 10408180484799360 11275528858532640 13530634630239168 15034038478043520 16913293287798960 22551057717065280 27061269260478336 33826586575597920 45102115434130560 67653173151195840 135306346302391680
- Sum of all divisors σ(n): 516072282372158400
- Sum of proper divisors (its aliquot sum) s(n): 380765936069766720
- 135306346302391680 is an abundant number, because the sum of its proper divisors (380765936069766720) is greater than itself. Its abundance is 245459589767375040
Bases of 135306346302391680
- Binary: 1111000001011010001100111101100110011010111000101100000002
- Hexadecimal: 0x1E0B467B335C580
- Base-36: 110A3HDM3XC0
Squares and roots of 135306346302391680
- 135306346302391680 squared (1353063463023916802) is 18307807349702742654643288133222400
- 135306346302391680 cubed (1353063463023916803) is 2477162521296350916371083102676727848679585349632000
-
The
square root of 135306346302391680 is 367840109.6976669835 -
The
cube root of 135306346302391680 is 513380.5240514881
Scales and comparisons
How big is 135306346302391680?- 135,306,346,302,391,680 seconds is equal to 4,302,323,282 years, 21 weeks, 1 day, 4 hours, 48 minutes.
-
To count from 1 to 135,306,346,302,391,680 would take you about twelve billion, nine hundred six million, nine hundred sixty-nine thousand, eight hundred forty-seven 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 135306346302391680 cubic inches would be around 42781.7 feet tall.
Recreational maths with 135306346302391680
- 135306346302391680 backwards is 086193203643603531
- The number of decimal digits it has is: 18
- The sum of 135306346302391680's digits is 63
- 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 135306346302391680 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 135306346302391680 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/135306346302391680/
Chicago style:
Numbermatics. 2024. "Number 135306346302391680 - Facts about the integer". https://numbermatics.com/n/135306346302391680/
The information we have on file for 135306346302391680 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 135306346302391680, math, Factors of 135306346302391680, curriculum, school, college, exams, university, Prime factorization of 135306346302391680, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five quadrillion, three hundred six trillion, three hundred forty-six billion, three hundred two million, three hundred ninety-one thousand, six hundred eighty.