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144119304 = 2333795317
BaseRepresentation
bin10001001011100…
…01011000001000
3101001012000112000
420211301120020
5243343304204
622144551000
73366664620
oct1045613010
9331160460
10144119304
1174395a6a
1240322460
1323b202c4
14151d7880
15c9bc039
hex8971608

144119304 has 64 divisors (see below), whose sum is σ = 457526400. Its totient is φ = 41176512.

The previous prime is 144119293. The next prime is 144119309. The reversal of 144119304 is 403911441.

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

It is not an unprimeable number, because it can be changed into a prime (144119309) 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, 46147 + ... + 49170.

It is an arithmetic number, because the mean of its divisors is an integer number (7148850).

Almost surely, 2144119304 is an apocalyptic number.

144119304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144119304 is an abundant number, since it is smaller than the sum of its proper divisors (313407096).

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

144119304 is a wasteful number, since it uses less digits than its factorization.

144119304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95339 (or 95329 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 144119304 is about 12004.9699708079. The cubic root of 144119304 is about 524.2929911674.

The spelling of 144119304 in words is "one hundred forty-four million, one hundred nineteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 95317 190634 285951 381268 571902 667219 762536 857853 1143804 1334438 1715706 2001657 2287608 2573559 2668876 3431412 4003314 5147118 5337752 6004971 6862824 8006628 10294236 12009942 16013256 18014913 20588472 24019884 36029826 48039768 72059652 144119304