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4442404104 = 2332103359729
BaseRepresentation
bin1000010001100100…
…11011010100001000
3102110121011111210100
410020302123110020
533044223412404
62012452045400
7215041545315
oct41062332410
912417144710
104442404104
11197a691a56
12a3b903860
1355a48bba8
14301dd5d0c
151b0012d39
hex108c9b508

4442404104 has 48 divisors (see below), whose sum is σ = 12043359900. Its totient is φ = 1479343104.

The previous prime is 4442404093. The next prime is 4442404133. The reversal of 4442404104 is 4014042444.

4442404104 is a `hidden beast` number, since 4 + 4 + 4 + 240 + 410 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4125492900 + 316911204 = 64230^2 + 17802^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44512 + ... + 104240.

Almost surely, 24442404104 is an apocalyptic number.

It is an amenable number.

4442404104 is an abundant number, since it is smaller than the sum of its proper divisors (7600955796).

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

4442404104 is a wasteful number, since it uses less digits than its factorization.

4442404104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60774 (or 60767 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4442404104 is about 66651.3623566690. The cubic root of 4442404104 is about 1643.8897487646.

Adding to 4442404104 its reverse (4014042444), we get a palindrome (8456446548).

The spelling of 4442404104 in words is "four billion, four hundred forty-two million, four hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1033 2066 3099 4132 6198 8264 9297 12396 18594 24792 37188 59729 74376 119458 179187 238916 358374 477832 537561 716748 1075122 1433496 2150244 4300488 61700057 123400114 185100171 246800228 370200342 493600456 555300513 740400684 1110601026 1480801368 2221202052 4442404104