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144104664 = 233111928729
BaseRepresentation
bin10001001011011…
…01110011011000
3101001011021102210
420211231303120
5243342322124
622144355120
73366604134
oct1045556330
9331137383
10144104664
1174385a70
1240315aa0
1323b16742
14151d23c4
15c9b7a29
hex896dcd8

144104664 has 64 divisors (see below), whose sum is σ = 413712000. Its totient is φ = 41368320.

The previous prime is 144104663. The next prime is 144104671. The reversal of 144104664 is 466401441.

144104664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144104663) 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, 9349 + ... + 19380.

It is an arithmetic number, because the mean of its divisors is an integer number (6464250).

Almost surely, 2144104664 is an apocalyptic number.

It is an amenable number.

144104664 is an abundant number, since it is smaller than the sum of its proper divisors (269607336).

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

144104664 is a wasteful number, since it uses less digits than its factorization.

144104664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28768 (or 28764 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 144104664 is about 12004.3602078578. The cubic root of 144104664 is about 524.2752375677.

The spelling of 144104664 in words is "one hundred forty-four million, one hundred four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 28729 57458 86187 114916 172374 229832 316019 344748 545851 632038 689496 948057 1091702 1264076 1637553 1896114 2183404 2528152 3275106 3792228 4366808 6004361 6550212 7584456 12008722 13100424 18013083 24017444 36026166 48034888 72052332 144104664