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144307008 = 26371031
BaseRepresentation
bin10001001100111…
…11001101000000
3101001112120000000
420212133031000
5243420311013
622153000000
73401406066
oct1046371500
9331476000
10144307008
1174503a9a
12403b3000
1323b87881
1415246036
15ca07973
hex899f340

144307008 has 112 divisors (see below), whose sum is σ = 429889920. Its totient is φ = 48055680.

The previous prime is 144306983. The next prime is 144307013. The reversal of 144307008 is 800703441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139453 + ... + 140483.

Almost surely, 2144307008 is an apocalyptic number.

144307008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144307008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214944960).

144307008 is an abundant number, since it is smaller than the sum of its proper divisors (285582912).

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

144307008 is an frugal number, since it uses more digits than its factorization.

144307008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 144307008 is about 12012.7851891225. The cubic root of 144307008 is about 524.5205091455.

The spelling of 144307008 in words is "one hundred forty-four million, three hundred seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1031 1296 1458 1728 1944 2062 2187 2592 2916 3093 3888 4124 4374 5184 5832 6186 7776 8248 8748 9279 11664 12372 15552 16496 17496 18558 23328 24744 27837 32992 34992 37116 46656 49488 55674 65984 69984 74232 83511 98976 111348 139968 148464 167022 197952 222696 250533 296928 334044 445392 501066 593856 668088 751599 890784 1002132 1336176 1503198 1781568 2004264 2254797 2672352 3006396 4008528 4509594 5344704 6012792 8017056 9019188 12025584 16034112 18038376 24051168 36076752 48102336 72153504 144307008