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123142120332144 = 2433167810060259
BaseRepresentation
bin11011111111111101000010…
…010101101101101101110000
3121011000021100002112020000220
4123333331002111231231300
5112120030030301112034
61113522413100213040
734636503352266024
oct3377750225555560
9534007302466026
10123142120332144
1136267309689a41
1211989926b3a180
135393337ba8064
14225a179014384
15e38320cec749
hex6fff4256db70

123142120332144 has 40 divisors (see below), whose sum is σ = 318217592056320. Its totient is φ = 41034412429248.

The previous prime is 123142120332073. The next prime is 123142120332151. The reversal of 123142120332144 is 441233021241321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404878114 + ... + 405182145.

It is an arithmetic number, because the mean of its divisors is an integer number (7955439801408).

Almost surely, 2123142120332144 is an apocalyptic number.

It is an amenable number.

123142120332144 is an abundant number, since it is smaller than the sum of its proper divisors (195075471724176).

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

123142120332144 is a wasteful number, since it uses less digits than its factorization.

123142120332144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810063437 (or 810063431 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 123142120332144 its reverse (441233021241321), we get a palindrome (564375141573465).

The spelling of 123142120332144 in words is "one hundred twenty-three trillion, one hundred forty-two billion, one hundred twenty million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 3167 6334 9501 12668 19002 25336 38004 50672 76008 152016 810060259 1620120518 2430180777 3240241036 4860361554 6480482072 9720723108 12960964144 19441446216 38882892432 2565460840253 5130921680506 7696382520759 10261843361012 15392765041518 20523686722024 30785530083036 41047373444048 61571060166072 123142120332144