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444152144 = 24377110567
BaseRepresentation
bin11010011110010…
…011100101010000
31010221202021012102
4122132103211100
51402200332034
6112023415532
714002142132
oct3236234520
91127667172
10444152144
11208792097
121048b45a8
1371030027
1442db9052
1528ed597e
hex1a793950

444152144 has 40 divisors (see below), whose sum is σ = 896335488. Its totient is φ = 213010560.

The previous prime is 444152143. The next prime is 444152153. The reversal of 444152144 is 441251444.

It is a super-2 number, since 2×4441521442 = 394542254039593472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444152143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36749 + ... + 47315.

Almost surely, 2444152144 is an apocalyptic number.

It is an amenable number.

444152144 is an abundant number, since it is smaller than the sum of its proper divisors (452183344).

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

444152144 is a wasteful number, since it uses less digits than its factorization.

444152144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10683 (or 10677 counting only the distinct ones).

The product of its digits is 10240, while the sum is 29.

The square root of 444152144 is about 21074.9174138358. The cubic root of 444152144 is about 762.9754914381.

The spelling of 444152144 in words is "four hundred forty-four million, one hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 37 71 74 142 148 284 296 568 592 1136 2627 5254 10508 10567 21016 21134 42032 42268 84536 169072 390979 750257 781958 1500514 1563916 3001028 3127832 6002056 6255664 12004112 27759509 55519018 111038036 222076072 444152144