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144464864 = 2543671567
BaseRepresentation
bin10001001110001…
…01101111100000
3101001211120112112
420213011233200
5243440333424
622200214452
73402634235
oct1047055740
9331746475
10144464864
1174601655
124046a428
1323c1168b
141528778c
15ca3960e
hex89c5be0

144464864 has 48 divisors (see below), whose sum is σ = 295561728. Its totient is φ = 69455232.

The previous prime is 144464857. The next prime is 144464869. The reversal of 144464864 is 468464441.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144464869) by changing a digit.

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, 91409 + ... + 92975.

It is an arithmetic number, because the mean of its divisors is an integer number (6157536).

Almost surely, 2144464864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144464864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147780864).

144464864 is an abundant number, since it is smaller than the sum of its proper divisors (151096864).

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

144464864 is a wasteful number, since it uses less digits than its factorization.

144464864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1679 counting only the distinct ones).

The product of its digits is 294912, while the sum is 41.

The square root of 144464864 is about 12019.3537263865. The cubic root of 144464864 is about 524.7116953719.

The spelling of 144464864 in words is "one hundred forty-four million, four hundred sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 43 67 86 134 172 268 344 536 688 1072 1376 1567 2144 2881 3134 5762 6268 11524 12536 23048 25072 46096 50144 67381 92192 104989 134762 209978 269524 419956 539048 839912 1078096 1679824 2156192 3359648 4514527 9029054 18058108 36116216 72232432 144464864