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144240132 = 22341594969
BaseRepresentation
bin10001001100011…
…10111000000100
3101001102011021010
420212032320010
5243411141012
622151322220
73401010111
oct1046167004
9331364233
10144240132
1174468823
1240380370
1323b632ba
1415229908
15c9e2c3c
hex898ee04

144240132 has 48 divisors (see below), whose sum is σ = 350683200. Its totient is φ = 46103040.

The previous prime is 144240127. The next prime is 144240137. The reversal of 144240132 is 231042441.

It is an interprime number because it is at equal distance from previous prime (144240127) and next prime (144240137).

It is a junction number, because it is equal to n+sod(n) for n = 144240099 and 144240108.

It is not an unprimeable number, because it can be changed into a prime (144240137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26544 + ... + 31512.

It is an arithmetic number, because the mean of its divisors is an integer number (7305900).

Almost surely, 2144240132 is an apocalyptic number.

144240132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144240132 is an abundant number, since it is smaller than the sum of its proper divisors (206443068).

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

144240132 is a wasteful number, since it uses less digits than its factorization.

144240132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5076 (or 5074 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 144240132 is about 12010.0013322231. The cubic root of 144240132 is about 524.4394706842.

Adding to 144240132 its reverse (231042441), we get a palindrome (375282573).

The spelling of 144240132 in words is "one hundred forty-four million, two hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 41 59 82 118 123 164 177 236 246 354 492 708 2419 4838 4969 7257 9676 9938 14514 14907 19876 29028 29814 59628 203729 293171 407458 586342 611187 814916 879513 1172684 1222374 1759026 2444748 3518052 12020011 24040022 36060033 48080044 72120066 144240132