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144914664 = 23317418663
BaseRepresentation
bin10001010001100…
…11100011101000
3101002200102112210
420220303203220
5244044232124
622214005120
73406516506
oct1050634350
9332612483
10144914664
1174889594
12406467a0
132403b32b
1415363676
15cac7a29
hex8a338e8

144914664 has 64 divisors (see below), whose sum is σ = 392999040. Its totient is φ = 44349440.

The previous prime is 144914659. The next prime is 144914669. The reversal of 144914664 is 466419441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144914659) and next prime (144914669).

It is not an unprimeable number, because it can be changed into a prime (144914669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12397 + ... + 21059.

It is an arithmetic number, because the mean of its divisors is an integer number (6140610).

Almost surely, 2144914664 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 144914664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196499520).

144914664 is an abundant number, since it is smaller than the sum of its proper divisors (248084376).

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

144914664 is a wasteful number, since it uses less digits than its factorization.

144914664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8730 (or 8726 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 144914664 is about 12038.0506727626. The cubic root of 144914664 is about 525.2557049154.

The spelling of 144914664 in words is "one hundred forty-four million, nine hundred fourteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 68 82 102 123 136 164 204 246 328 408 492 697 984 1394 2091 2788 4182 5576 8364 8663 16728 17326 25989 34652 51978 69304 103956 147271 207912 294542 355183 441813 589084 710366 883626 1065549 1178168 1420732 1767252 2131098 2841464 3534504 4262196 6038111 8524392 12076222 18114333 24152444 36228666 48304888 72457332 144914664