342378545052513600
342,378,545,052,513,600 is an even composite number composed of five prime numbers multiplied together.
342378545052513600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 342378545052513600:
26 × 33 × 52 × 7901 × 1003091923
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7901 × 1003091923)See below for interesting mathematical facts about the number 342378545052513600 from the Numbermatics database.
Names of 342378545052513600
- Cardinal: 342378545052513600 can be written as Three hundred forty-two quadrillion, three hundred seventy-eight trillion, five hundred forty-five billion, fifty-two million, five hundred thirteen thousand, six hundred.
Scientific notation
- Scientific notation: 3.423785450525136 × 1017
Factors of 342378545052513600
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 1003099834
Divisors of 342378545052513600
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 135 144 150 160 180 192 200 216 225 240 270 288 300 320 360 400 432 450 480 540 576 600 675 720 800 864 900 960 1080 1200 1350 1440 1600 1728 1800 2160 2400 2700 2880 3600 4320 4800 5400 7200 7901 8640 10800 14400 15802 21600 23703 31604 39505 43200 47406 63208 71109 79010 94812 118515 126416 142218 158020 189624 197525 213327 237030 252832 284436 316040 355545 379248 395050 426654 474060 505664 568872 592575 632080 711090 758496 790100 853308 948120 1066635 1137744 1185150 1264160 1422180 1516992 1580200 1706616 1777725 1896240 2133270 2275488 2370300 2528320 2844360 3160400 3413232 3555450 3792480 4266540 4550976 4740600 5333175 5688720 6320800 6826464 7110900 7584960 8533080 9481200 10666350 11377440 12641600 13652928 14221800 17066160 18962400 21332700 22754880 28443600 34132320 37924800 42665400 56887200 68264640 85330800 113774400 170661600 341323200 1003091923 2006183846 3009275769 4012367692 5015459615 6018551538 8024735384 9027827307 10030919230 12037103076 15046378845 16049470768 18055654614 20061838460 24074206152 25077298075 27083481921 30092757690 32098941536 36111309228 40123676920 45139136535 48148412304 50154596150 54166963842 60185515380 64197883072 72222618456 75231894225 80247353840 90278273070 96296824608 100309192300 108333927684 120371030760 135417409605 144445236912 150463788450 160494707680 180556546140 192593649216 200618384600 216667855368 225695682675 240742061520 270834819210 288890473824 300927576900 320989415360 361113092280 401236769200 433335710736 451391365350 481484123040 541669638420 577780947648 601855153800 677087048025 722226184560 802473538400 866671421472 902782730700 962968246080 1083339276840 1203710307600 1354174096050 1444452369120 1604947076800 1733342842944 1805565461400 2166678553680 2407420615200 2708348192100 2888904738240 3611130922800 4333357107360 4814841230400 5416696384200 7222261845600 7925429283623 8666714214720 10833392768400 14444523691200 15850858567246 21666785536800 23776287850869 31701717134492 39627146418115 43333571073600 47552575701738 63403434268984 71328863552607 79254292836230 95105151403476 118881439254345 126806868537968 142657727105214 158508585672460 190210302806952 198135732090575 213986590657821 237762878508690 253613737075936 285315454210428 317017171344920 356644317763035 380420605613904 396271464181150 427973181315642 475525757017380 507227474151872 570630908420856 594407196271725 634034342689840 713288635526070 760841211227808 792542928362300 855946362631284 951051514034760 1069932953289105 1141261816841712 1188814392543450 1268068685379680 1426577271052140 1521682422455616 1585085856724600 1711892725262568 1783221588815175 1902103028069520 2139865906578210 2282523633683424 2377628785086900 2536137370759360 2853154542104280 3170171713449200 3423785450525136 3566443177630350 3804206056139040 4279731813156420 4565047267366848 4755257570173800 5349664766445525 5706309084208560 6340343426898400 6847570901050272 7132886355260700 7608412112278080 8559463626312840 9510515140347600 10699329532891050 11412618168417120 12680686853796800 13695141802100544 14265772710521400 17118927252625680 19021030280695200 21398659065782100 22825236336834240 28531545421042800 34237854505251360 38042060561390400 42797318131564200 57063090842085600 68475709010502720 85594636263128400 114126181684171200 171189272526256800 342378545052513600
- Sum of all divisors σ(n): 1248254571745391040
- Sum of proper divisors (its aliquot sum) s(n): 905876026692877440
- 342378545052513600 is an abundant number, because the sum of its proper divisors (905876026692877440) is greater than itself. Its abundance is 563497481640363840
Bases of 342378545052513600
- Binary: 100110000000101111101111001000001001001000111110101010000002
- Hexadecimal: 0x4C05F790491F540
- Base-36: 2LN72C8C72O0
Squares and roots of 342378545052513600
- 342378545052513600 squared (3423785450525136002) is 117223068112276084924181678184960000
- 342378545052513600 cubed (3423785450525136003) is 40134663506872787904258579705899352658733715456000000
-
The
square root of 342378545052513600 is 585131220.3707076165 -
The
cube root of 342378545052513600 is 699576.9859539819
Scales and comparisons
How big is 342378545052513600?- 342,378,545,052,513,600 seconds is equal to 10,886,578,686 years, 15 weeks, 2 days, 12 hours.
-
To count from 1 to 342,378,545,052,513,600 would take you about thirty-two billion, six hundred fifty-nine million, seven hundred thirty-six thousand and fifty-eight 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 342378545052513600 cubic inches would be around 58298.1 feet tall.
Recreational maths with 342378545052513600
- 342378545052513600 backwards is 006315250545873243
- The number of decimal digits it has is: 18
- The sum of 342378545052513600'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 342378545052513600 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 342378545052513600 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/342378545052513600/
Chicago style:
Numbermatics. 2024. "Number 342378545052513600 - Facts about the integer". https://numbermatics.com/n/342378545052513600/
The information we have on file for 342378545052513600 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 342378545052513600, math, Factors of 342378545052513600, curriculum, school, college, exams, university, Prime factorization of 342378545052513600, STEM, science, technology, engineering, physics, economics, calculator, three hundred forty-two quadrillion, three hundred seventy-eight trillion, five hundred forty-five billion, fifty-two million, five hundred thirteen thousand, six hundred.