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445150053144 = 233242727144701
BaseRepresentation
bin1100111101001010000…
…00101100001100011000
31120120000021100201021100
412132211000230030120
524243131403200034
6540255450311400
744106143010006
oct6364500541430
91516007321240
10445150053144
11161872666605
1272333a28560
1332c92669614
141778c731a76
15b8a55c7099
hex67a502c318

445150053144 has 48 divisors (see below), whose sum is σ = 1205651275920. Its totient is φ = 148378852800.

The previous prime is 445150053133. The next prime is 445150053163. The reversal of 445150053144 is 441350051544.

445150053144 is a `hidden beast` number, since 4 + 4 + 5 + 1 + 500 + 5 + 3 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 445150053099 and 445150053108.

It is a congruent number.

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, 3003994 + ... + 3148694.

It is an arithmetic number, because the mean of its divisors is an integer number (25117734915).

Almost surely, 2445150053144 is an apocalyptic number.

It is an amenable number.

445150053144 is an abundant number, since it is smaller than the sum of its proper divisors (760501222776).

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

445150053144 is a wasteful number, since it uses less digits than its factorization.

445150053144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187440 (or 187433 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 445150053144 in words is "four hundred forty-five billion, one hundred fifty million, fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 42727 85454 128181 144701 170908 256362 289402 341816 384543 434103 512724 578804 769086 868206 1025448 1157608 1302309 1538172 1736412 2604618 3076344 3472824 5209236 10418472 6182639627 12365279254 18547918881 24730558508 37095837762 49461117016 55643756643 74191675524 111287513286 148383351048 222575026572 445150053144