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442660641144 = 23337213472749
BaseRepresentation
bin1100111000100001010…
…00010101100101111000
31120022120210002110222220
412130100220111211320
524223032111004034
6535204441444040
743660354240041
oct6342050254570
91508523073886
10442660641144
11160805434517
127195a1a0620
13329869a6577
14175d3c798c8
15b7abc8d749
hex6710a15978

442660641144 has 48 divisors (see below), whose sum is σ = 1137369555000. Its totient is φ = 143565602688.

The previous prime is 442660641133. The next prime is 442660641161. The reversal of 442660641144 is 441146066244.

It is a junction number, because it is equal to n+sod(n) for n = 442660641096 and 442660641105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6703519 + ... + 6769230.

Almost surely, 2442660641144 is an apocalyptic number.

It is an amenable number.

442660641144 is an abundant number, since it is smaller than the sum of its proper divisors (694708913856).

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

442660641144 is a wasteful number, since it uses less digits than its factorization.

442660641144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13472832 (or 13472791 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 442660641144 in words is "four hundred forty-two billion, six hundred sixty million, six hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 1369 2738 4107 5476 8214 10952 16428 32856 13472749 26945498 40418247 53890996 80836494 107781992 161672988 323345976 498491713 996983426 1495475139 1993966852 2990950278 3987933704 5981900556 11963801112 18444193381 36888386762 55332580143 73776773524 110665160286 147553547048 221330320572 442660641144