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142163889920 = 28513173071637
BaseRepresentation
bin1000010001100110100…
…0001100111100000000
3111120221122102212200022
42010121220030330000
54312122423434140
6145150441313012
713161645061163
oct2043150147400
9446848385608
10142163889920
115532289a718
1223676495768
1310537c8c530
146c48b89ada
153a70ba90b5
hex2119a0cf00

142163889920 has 288 divisors, whose sum is σ = 389795934528. Its totient is φ = 49212555264.

The previous prime is 142163889911. The next prime is 142163889941. The reversal of 142163889920 is 29988361241.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 86843342 + ... + 86844978.

It is an arithmetic number, because the mean of its divisors is an integer number (1353458106).

Almost surely, 2142163889920 is an apocalyptic number.

142163889920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142163889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194897967264).

142163889920 is an abundant number, since it is smaller than the sum of its proper divisors (247632044608).

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

142163889920 is a wasteful number, since it uses less digits than its factorization.

142163889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 53.

The spelling of 142163889920 in words is "one hundred forty-two billion, one hundred sixty-three million, eight hundred eighty-nine thousand, nine hundred twenty".