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141888193920 = 273251119432741
BaseRepresentation
bin1000010000100100110…
…0100000010110000000
3111120020102200001212100
42010021030200112000
54311041334201140
6145103232230400
713152056514564
oct2041114402600
9446212601770
10141888193920
11551a1206190
12235ba09b400
13104c2b20bc5
146c203016a4
153a5689b530
hex2109320580

141888193920 has 768 divisors, whose sum is σ = 575925292800. Its totient is φ = 31817318400.

The previous prime is 141888193753. The next prime is 141888193927. The reversal of 141888193920 is 29391888141.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141888193927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51763750 + ... + 51766490.

It is an arithmetic number, because the mean of its divisors is an integer number (749902725).

Almost surely, 2141888193920 is an apocalyptic number.

141888193920 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 141888193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287962646400).

141888193920 is an abundant number, since it is smaller than the sum of its proper divisors (434037098880).

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

141888193920 is a wasteful number, since it uses less digits than its factorization.

141888193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 141888193920 in words is "one hundred forty-one billion, eight hundred eighty-eight million, one hundred ninety-three thousand, nine hundred twenty".