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144257052064 = 2574311095471
BaseRepresentation
bin1000011001011001100…
…0111110110110100000
3111210100112002112100011
42012112120332312200
54330414301131224
6150134253134304
713264552465546
oct2062630766640
9453315075304
10144257052064
11561a7388394
1223b5b48a394
13107ac824c08
146da6b75d96
153b44820394
hex219663eda0

144257052064 has 48 divisors (see below), whose sum is σ = 284696778240. Its totient is φ = 71953342720.

The previous prime is 144257052011. The next prime is 144257052067. The reversal of 144257052064 is 460250752441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (144257052067) 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, 26364849 + ... + 26370319.

It is an arithmetic number, because the mean of its divisors is an integer number (5931182880).

Almost surely, 2144257052064 is an apocalyptic number.

It is an amenable number.

144257052064 is a deficient number, since it is larger than the sum of its proper divisors (140439726176).

144257052064 is a wasteful number, since it uses less digits than its factorization.

144257052064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7333 (or 7325 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 144257052064 in words is "one hundred forty-four billion, two hundred fifty-seven million, fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 32 743 1109 1486 2218 2972 4436 5471 5944 8872 10942 11888 17744 21884 23776 35488 43768 87536 175072 823987 1647974 3295948 4064953 6067339 6591896 8129906 12134678 13183792 16259812 24269356 26367584 32519624 48538712 65039248 97077424 130078496 194154848 4508032877 9016065754 18032131508 36064263016 72128526032 144257052064