Search a number
-
+
144130176 = 2732125113
BaseRepresentation
bin10001001011101…
…00000010000000
3101001012120102200
420211310002000
5243344131201
622145113200
73400041411
oct1045640200
9331176380
10144130176
11743a3153
1240328800
1323b25238
14151db808
15c9c0386
hex8974080

144130176 has 48 divisors (see below), whose sum is σ = 414752910. Its totient is φ = 48043008.

The previous prime is 144130163. The next prime is 144130183. The reversal of 144130176 is 671031441.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 143424576 + 705600 = 11976^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61405 + ... + 63708.

Almost surely, 2144130176 is an apocalyptic number.

144130176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144130176 is an abundant number, since it is smaller than the sum of its proper divisors (270622734).

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

144130176 is a wasteful number, since it uses less digits than its factorization.

144130176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125133 (or 125118 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 144130176 is about 12005.4227747298. The cubic root of 144130176 is about 524.3061746201.

The spelling of 144130176 in words is "one hundred forty-four million, one hundred thirty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 125113 250226 375339 500452 750678 1000904 1126017 1501356 2001808 2252034 3002712 4003616 4504068 6005424 8007232 9008136 12010848 16014464 18016272 24021696 36032544 48043392 72065088 144130176