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439044060816 = 2432552172
BaseRepresentation
bin1100110001110010001…
…00001011011010010000
31112222020201212011110100
412120321010023122100
524143130234421231
6533405525532400
743501630641054
oct6307104133220
91488221764410
10439044060816
1115a219a21159
127110ab74100
133252b63c6ca
141736d811c64
15b6495041e6
hex663910b690

439044060816 has 45 divisors (see below), whose sum is σ = 1228735839721. Its totient is φ = 146345369856.

The previous prime is 439044060811. The next prime is 439044060901. The reversal of 439044060816 is 618060440934.

The square root of 439044060816 is 662604.

It is a perfect power (a square), and thus also a powerful number.

439044060816 is a `hidden beast` number, since 4 + 39 + 0 + 4 + 4 + 0 + 608 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 293352224400 + 145691836416 = 541620^2 + 381696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (439044060811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7923640 + ... + 7978856.

Almost surely, 2439044060816 is an apocalyptic number.

439044060816 is the 662604-th square number.

It is an amenable number.

439044060816 is an abundant number, since it is smaller than the sum of its proper divisors (789691778905).

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

439044060816 is an frugal number, since it uses more digits than its factorization.

439044060816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110448 (or 55222 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 439044060816 in words is "four hundred thirty-nine billion, forty-four million, sixty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 55217 110434 165651 220868 331302 441736 496953 662604 883472 993906 1325208 1987812 2650416 3975624 7951248 3048917089 6097834178 9146751267 12195668356 18293502534 24391336712 27440253801 36587005068 48782673424 54880507602 73174010136 109761015204 146348020272 219522030408 439044060816