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144156042 = 232232912007
BaseRepresentation
bin10001001011110…
…10010110001010
3101001020212220200
420211322112022
5243400443132
622145433030
73400210002
oct1045722612
9331225820
10144156042
1174410628
124033b776
1323b33c44
1415207002
15c9c7d7c
hex897a58a

144156042 has 48 divisors (see below), whose sum is σ = 337184640. Its totient is φ = 44374176.

The previous prime is 144156037. The next prime is 144156043. The reversal of 144156042 is 240651441.

144156042 is a `hidden beast` number, since 1 + 44 + 15 + 604 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144155997 and 144156015.

It is not an unprimeable number, because it can be changed into a prime (144156043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6003 + ... + 18009.

It is an arithmetic number, because the mean of its divisors is an integer number (7024680).

Almost surely, 2144156042 is an apocalyptic number.

It is a pronic number, being equal to 12006×12007.

It is a practical number, because each smaller number is the sum of distinct divisors of 144156042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168592320).

144156042 is an abundant number, since it is smaller than the sum of its proper divisors (193028598).

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

144156042 is a wasteful number, since it uses less digits than its factorization.

144156042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12067 (or 12064 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 144156042 is about 12006.4999895890. The cubic root of 144156042 is about 524.3375372227.

The spelling of 144156042 in words is "one hundred forty-four million, one hundred fifty-six thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 29 46 58 69 87 138 174 207 261 414 522 667 1334 2001 4002 6003 12006 12007 24014 36021 72042 108063 216126 276161 348203 552322 696406 828483 1044609 1656966 2089218 2485449 3133827 4970898 6267654 8008669 16017338 24026007 48052014 72078021 144156042