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4221832265145 = 3251126329122509
BaseRepresentation
bin111101011011111000110…
…011111111110110111001
3112221121021202020100221100
4331123320303333312321
51023132303024441040
612551252153202013
7614005640102655
oct75337063776671
915847252210840
104221832265145
111388518283800
12582277100309
1324816a29b5a1
141084a2bbba65
1574c45e78b30
hex3d6f8cffdb9

4221832265145 has 72 divisors (see below), whose sum is σ = 8044915624200. Its totient is φ = 2046608847360.

The previous prime is 4221832265141. The next prime is 4221832265149. The reversal of 4221832265145 is 5415622381224.

4221832265145 is a `hidden beast` number, since 4 + 2 + 218 + 32 + 265 + 145 = 666.

It is an interprime number because it is at equal distance from previous prime (4221832265141) and next prime (4221832265149).

It can be written as a sum of positive squares in 4 ways, for example, as 2359655437689 + 1862176827456 = 1536117^2 + 1364616^2 .

It is not a de Polignac number, because 4221832265145 - 22 = 4221832265141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4221832265145.

It is not an unprimeable number, because it can be changed into a prime (4221832265141) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34400151 + ... + 34522659.

It is an arithmetic number, because the mean of its divisors is an integer number (111734939225).

Almost surely, 24221832265145 is an apocalyptic number.

4221832265145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4221832265145 is a deficient number, since it is larger than the sum of its proper divisors (3823083359055).

4221832265145 is a wasteful number, since it uses less digits than its factorization.

4221832265145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128871 (or 128857 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 4221832265145 in words is "four trillion, two hundred twenty-one billion, eight hundred thirty-two million, two hundred sixty-five thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 495 605 1089 1815 5445 6329 18987 31645 56961 69619 94935 122509 208857 284805 348095 367527 612545 626571 765809 1044285 1102581 1347599 1837635 2297427 3132855 3829045 4042797 5512905 6737995 6892281 11487135 12128391 14823589 20213985 34461405 44470767 60641955 74117945 133412301 222353835 667061505 775359461 2326078383 3876797305 6978235149 8528954071 11630391915 25586862213 34891175745 42644770355 76760586639 93818494781 127934311065 281455484343 383802933195 469092473905 844366453029 1407277421715 4221832265145