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444212044331 = 115310720113541
BaseRepresentation
bin1100111011011010001…
…10011110001000101011
31120110120220022221002012
412131231012132020223
524234221240404311
6540022421430135
744043663035306
oct6355506361053
91513526287065
10444212044331
11161431133710
127211186b34b
1332b73225813
14176ddd1db3d
15b84d08d78b
hex676d19e22b

444212044331 has 32 divisors (see below), whose sum is σ = 498741255936. Its totient is φ = 392200848000.

The previous prime is 444212044327. The next prime is 444212044363. The reversal of 444212044331 is 133440212444.

It is not a de Polignac number, because 444212044331 - 22 = 444212044327 is a prime.

It is a super-2 number, since 2×4442120443312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444212094331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125446421 + ... + 125449961.

It is an arithmetic number, because the mean of its divisors is an integer number (15585664248).

Almost surely, 2444212044331 is an apocalyptic number.

444212044331 is a deficient number, since it is larger than the sum of its proper divisors (54529211605).

444212044331 is a wasteful number, since it uses less digits than its factorization.

444212044331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5723.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 444212044331 its reverse (133440212444), we get a palindrome (577652256775).

The spelling of 444212044331 in words is "four hundred forty-four billion, two hundred twelve million, forty-four thousand, three hundred thirty-one".

Divisors: 1 11 53 107 583 1177 2011 3541 5671 22121 38951 62381 106583 187673 215177 378887 1172413 2064403 2366947 4167757 7120951 11404381 20081011 78330461 125448191 220891121 377410403 761941757 4151514433 8381359327 40382913121 444212044331