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120144042 = 232232910007
BaseRepresentation
bin1110010100101…
…00000010101010
322101001221122100
413022110002222
5221224102132
615531034230
72656131114
oct712240252
9271057570
10120144042
11618aaaa7
123429b976
131bb77665
1411d563b4
15a83337c
hex72940aa

120144042 has 48 divisors (see below), whose sum is σ = 281024640. Its totient is φ = 36982176.

The previous prime is 120144023. The next prime is 120144047. The reversal of 120144042 is 240441021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120144047) 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 23 ways as a sum of consecutive naturals, for example, 7003 + ... + 17009.

It is an arithmetic number, because the mean of its divisors is an integer number (5854680).

Almost surely, 2120144042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120144042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140512320).

120144042 is an abundant number, since it is smaller than the sum of its proper divisors (160880598).

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

120144042 is a wasteful number, since it uses less digits than its factorization.

120144042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10067 (or 10064 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 120144042 is about 10961.0237660540. The cubic root of 120144042 is about 493.4396904648.

Adding to 120144042 its reverse (240441021), we get a palindrome (360585063).

The spelling of 120144042 in words is "one hundred twenty million, one hundred forty-four 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 10007 12006 20014 30021 60042 90063 180126 230161 290203 460322 580406 690483 870609 1380966 1741218 2071449 2611827 4142898 5223654 6674669 13349338 20024007 40048014 60072021 120144042