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444451060154444 = 22731512040391883
BaseRepresentation
bin110010100001110011101001…
…1100011111000000001001100
32011021200002212120010210111112
41211003213103203320001030
5431223341232344420234
64213133555345511152
7162421346412036320
oct14503472343700114
92137602776123445
10444451060154444
111196856aa707482
1241a217149424b8
13160cc72a82b4c5
147ba7790681980
15365b2d31a8ace
hex19439d38f804c

444451060154444 has 24 divisors (see below), whose sum is σ = 917576382256128. Its totient is φ = 184334541077520.

The previous prime is 444451060154429. The next prime is 444451060154471.

444451060154444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444451060154392 and 444451060154401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256020195074 + ... + 256020196809.

It is an arithmetic number, because the mean of its divisors is an integer number (38232349260672).

Almost surely, 2444451060154444 is an apocalyptic number.

It is an amenable number.

444451060154444 is an abundant number, since it is smaller than the sum of its proper divisors (473125322101684).

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

444451060154444 is a wasteful number, since it uses less digits than its factorization.

444451060154444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512040391925 (or 512040391923 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 50.

The spelling of 444451060154444 in words is "four hundred forty-four trillion, four hundred fifty-one billion, sixty million, one hundred fifty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 512040391883 1024080783766 2048161567532 3584282743181 7168565486362 14337130972724 15873252148373 31746504296746 63493008593492 111112765038611 222225530077222 444451060154444