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44424342444 = 22371127410561
BaseRepresentation
bin101001010111111001…
…011010101110101100
311020200000020102100110
4221113321122232230
51211440112424234
632224103500020
73131606452236
oct512771325654
9136600212313
1044424342444
1117927423aa9
128739757610
13425c889381
142216021256
15125012d1e9
hexa57e5abac

44424342444 has 48 divisors (see below), whose sum is σ = 105944702976. Its totient is φ = 14484556800.

The previous prime is 44424342419. The next prime is 44424342461.

44424342444 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97077 + ... + 313484.

It is an arithmetic number, because the mean of its divisors is an integer number (2207181312).

Almost surely, 244424342444 is an apocalyptic number.

It is an amenable number.

44424342444 is an abundant number, since it is smaller than the sum of its proper divisors (61520360532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44424342444 is a wasteful number, since it uses less digits than its factorization.

44424342444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410766 (or 410764 counting only the distinct ones).

The product of its digits is 786432, while the sum is 39.

The spelling of 44424342444 in words is "forty-four billion, four hundred twenty-four million, three hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 71 127 142 213 254 284 381 426 508 762 852 1524 9017 18034 27051 36068 54102 108204 410561 821122 1231683 1642244 2463366 4926732 29149831 52141247 58299662 87449493 104282494 116599324 156423741 174898986 208564988 312847482 349797972 625694964 3702028537 7404057074 11106085611 14808114148 22212171222 44424342444