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442663240464 = 24331024683427
BaseRepresentation
bin1100111000100001100…
…10010000001100010000
31120022120221222112121000
412130100302100030100
524223033242143324
6535205013302000
743660415314164
oct6342062201420
91508527875530
10442663240464
1116080694a415
127195b034900
13329873a6723
14175d4354ca4
15b7ac1039c9
hex6710c90310

442663240464 has 40 divisors (see below), whose sum is σ = 1270607450720. Its totient is φ = 147554413344.

The previous prime is 442663240457. The next prime is 442663240471. The reversal of 442663240464 is 464042366244.

442663240464 is a `hidden beast` number, since 4 + 4 + 2 + 6 + 632 + 4 + 0 + 4 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (442663240457) and next prime (442663240471).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 512341282 + ... + 512342145.

It is an arithmetic number, because the mean of its divisors is an integer number (31765186268).

Almost surely, 2442663240464 is an apocalyptic number.

It is an amenable number.

442663240464 is an abundant number, since it is smaller than the sum of its proper divisors (827944210256).

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

442663240464 is a wasteful number, since it uses less digits than its factorization.

442663240464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024683444 (or 1024683432 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 45.

The spelling of 442663240464 in words is "four hundred forty-two billion, six hundred sixty-three million, two hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1024683427 2049366854 3074050281 4098733708 6148100562 8197467416 9222150843 12296201124 16394934832 18444301686 24592402248 27666452529 36888603372 49184804496 55332905058 73777206744 110665810116 147554413488 221331620232 442663240464