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442112033363 = 71113611372251
BaseRepresentation
bin1100110111011111110…
…11100100001001010011
31120021011112210022121012
412123233323210021103
524220421140031423
6535034203121135
743640643164330
oct6335773441123
91507145708535
10442112033363
11160553798360
12718265131ab
13328ca132990
141758106d987
15b778a23078
hex66efee4253

442112033363 has 32 divisors (see below), whose sum is σ = 593710290432. Its totient is φ = 317946240000.

The previous prime is 442112033359. The next prime is 442112033431. The reversal of 442112033363 is 363330211244.

It is a cyclic number.

It is not a de Polignac number, because 442112033363 - 22 = 442112033359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442112033303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6082988 + ... + 6155238.

It is an arithmetic number, because the mean of its divisors is an integer number (18553446576).

Almost surely, 2442112033363 is an apocalyptic number.

442112033363 is a deficient number, since it is larger than the sum of its proper divisors (151598257069).

442112033363 is a wasteful number, since it uses less digits than its factorization.

442112033363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78395.

The product of its (nonzero) digits is 31104, while the sum is 32.

The spelling of 442112033363 in words is "four hundred forty-two billion, one hundred twelve million, thirty-three thousand, three hundred sixty-three".

Divisors: 1 7 11 13 77 91 143 1001 6113 42791 67243 72251 79469 470701 505757 556283 794761 874159 939263 5563327 6119113 6574841 10331893 72323251 441670363 3091692541 4858373993 5741714719 34008617951 40192003033 63158861909 442112033363