90138546284563200
90,138,546,284,563,200 is an even composite number composed of five prime numbers multiplied together.
90138546284563200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 90138546284563200:
28 × 3 × 52 × 59 × 79571456819
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 59 × 79571456819)See below for interesting mathematical facts about the number 90138546284563200 from the Numbermatics database.
Names of 90138546284563200
- Cardinal: 90138546284563200 can be written as Ninety quadrillion, one hundred thirty-eight trillion, five hundred forty-six billion, two hundred eighty-four million, five hundred sixty-three thousand, two hundred.
Scientific notation
- Scientific notation: 9.01385462845632 × 1016
Factors of 90138546284563200
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 79571456888
Divisors of 90138546284563200
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 59 60 64 75 80 96 100 118 120 128 150 160 177 192 200 236 240 256 295 300 320 354 384 400 472 480 590 600 640 708 768 800 885 944 960 1180 1200 1280 1416 1475 1600 1770 1888 1920 2360 2400 2832 2950 3200 3540 3776 3840 4425 4720 4800 5664 5900 6400 7080 7552 8850 9440 9600 11328 11800 14160 15104 17700 18880 19200 22656 23600 28320 35400 37760 45312 47200 56640 70800 75520 94400 113280 141600 188800 226560 283200 377600 566400 1132800 79571456819 159142913638 238714370457 318285827276 397857284095 477428740914 636571654552 795714568190 954857481828 1193571852285 1273143309104 1591429136380 1909714963656 1989286420475 2387143704570 2546286618208 3182858272760 3819429927312 3978572840950 4694715952321 4774287409140 5092573236416 5967859261425 6365716545520 7638859854624 7957145681900 9389431904642 9548574818280 10185146472832 11935718522850 12731433091040 14084147856963 15277719709248 15914291363800 18778863809284 19097149636560 20370292945664 23473579761605 23871437045700 25462866182080 28168295713926 30555439418496 31828582727600 37557727618568 38194299273120 46947159523210 47742874091400 50925732364160 56336591427852 61110878836992 63657165455200 70420739284815 75115455237136 76388598546240 93894319046420 95485748182800 101851464728320 112673182855704 117367898808025 127314330910400 140841478569630 150230910474272 152777197092480 187788638092840 190971496365600 225346365711408 234735797616050 254628661820800 281682957139260 300461820948544 305554394184960 352103696424075 375577276185680 381942992731200 450692731422816 469471595232100 509257323641600 563365914278520 600923641897088 704207392848150 751154552371360 763885985462400 901385462845632 938943190464200 1126731828557040 1201847283794176 1408414785696300 1502309104742720 1527771970924800 1802770925691264 1877886380928400 2253463657114080 2816829571392600 3004618209485440 3605541851382528 3755772761856800 4506927314228160 5633659142785200 6009236418970880 7511545523713600 9013854628456320 11267318285570400 15023091047427200 18027709256912640 22534636571140800 30046182094854400 45069273142281600 90138546284563200
- Sum of all divisors σ(n): 302517947396548800
- Sum of proper divisors (its aliquot sum) s(n): 212379401111985600
- 90138546284563200 is an abundant number, because the sum of its proper divisors (212379401111985600) is greater than itself. Its abundance is 122240854827422400
Bases of 90138546284563200
- Binary: 1010000000011110010000111101111111101110010001011000000002
- Hexadecimal: 0x1403C87BFDC8B00
- Base-36: ONJG4I5J4LC
Squares and roots of 90138546284563200
- 90138546284563200 squared (901385462845632002) is 8124957526294342267190614794240000
- 90138546284563200 cubed (901385462845632003) is 732371860043992693537307699845899130856275968000000
-
The
square root of 90138546284563200 is 300230821.6765280747 -
The
cube root of 90138546284563200 is 448370.3130459231
Scales and comparisons
How big is 90138546284563200?- 90,138,546,284,563,200 seconds is equal to 2,866,126,955 years, 6 days, 21 hours, 20 minutes.
-
To count from 1 to 90,138,546,284,563,200 would take you about eight billion, five hundred ninety-eight million, three hundred eighty thousand, eight hundred sixty-five 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 90138546284563200 cubic inches would be around 37364.2 feet tall.
Recreational maths with 90138546284563200
- 90138546284563200 backwards is 00236548264583109
- The number of decimal digits it has is: 17
- The sum of 90138546284563200's digits is 66
- More coming soon!
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