42148216612735931492200
42,148,216,612,735,931,492,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 42148216612735931492200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 96 divisors.
42148216612735931492200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 42148216612735931492200:
23 × 52 × 7 × 126913 × 237216589388771
(2 × 2 × 2 × 5 × 5 × 7 × 126913 × 237216589388771)See below for interesting mathematical facts about the number 42148216612735931492200 from the Numbermatics database.
Names of 42148216612735931492200
- Cardinal: 42148216612735931492200 can be written as Forty-two sextillion, one hundred forty-eight quintillion, two hundred sixteen quadrillion, six hundred twelve trillion, seven hundred thirty-five billion, nine hundred thirty-one million, four hundred ninety-two thousand, two hundred.
Scientific notation
- Scientific notation: 4.21482166127359314922 × 1022
Factors of 42148216612735931492200
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 8
- Sum of prime factors: 237216589515698
Divisors of 42148216612735931492200
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 126913 253826 507652 634565 888391 1015304 1269130 1776782 2538260 3172825 3553564 4441955 5076520 6345650 7107128 8883910 12691300 17767820 22209775 25382600 35535640 44419550 88839100 177678200 237216589388771 474433178777542 948866357555084 1186082946943855 1660516125721397 1897732715110168 2372165893887710 3321032251442794 4744331787775420 5930414734719275 6642064502885588 8302580628606985 9488663575550840 11860829469438550 13284129005771176 16605161257213970 23721658938877100 33210322514427940 41512903143034925 47443317877754200 66420645028855880 83025806286069850 166051612572139700 332103225144279400 30105869009097093923 60211738018194187846 120423476036388375692 150529345045485469615 210741083063679657461 240846952072776751384 301058690090970939230 421482166127359314922 602117380181941878460 752646725227427348075 842964332254718629844 1053705415318398287305 1204234760363883756920 1505293450454854696150 1685928664509437259688 2107410830636796574610 3010586900909709392300 4214821661273593149220 5268527076591991436525 6021173801819418784600 8429643322547186298440 10537054153183982873050 21074108306367965746100 42148216612735931492200
- Sum of all divisors σ(n): 111994715159554187741760
- Sum of proper divisors (its aliquot sum) s(n): 69846498546818256249560
- 42148216612735931492200 is an abundant number, because the sum of its proper divisors (69846498546818256249560) is greater than itself. Its abundance is 27698281934082324757360
Bases of 42148216612735931492200
- Binary: 10001110110011011100000000011011001001110110000001110001010110100111011010002
- Hexadecimal: 0x8ECDC01B2760715A768
- Base-36: 6V32E1RCVPAK8RS
Squares and roots of 42148216612735931492200
- 42148216612735931492200 squared (421482166127359314922002) is 1776472163634109158434217572014011718660840000
- 42148216612735931492200 cubed (421482166127359314922003) is 74875133559346103731573441505767454970535219485296438566905448000000
-
The
square root of 42148216612735931492200 is 205300308360.0605103879 -
The
cube root of 42148216612735931492200 is 34801107.7213609531
Scales and comparisons
How big is 42148216612735931492200?- 42,148,216,612,735,931,492,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,148,216,612,735,931,492,200 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 42148216612735931492200 cubic inches would be around 2900092.3 feet tall.
Recreational maths with 42148216612735931492200
- 42148216612735931492200 backwards is 00229413953721661284124
- The number of decimal digits it has is: 23
- The sum of 42148216612735931492200's digits is 82
- More coming soon!
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