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141899167872 = 273371131103167
BaseRepresentation
bin1000010000100111011…
…0010111100010000000
3111120021012022121022000
42010021312113202000
54311102141332442
6145104303344000
713152252011610
oct2041166274200
9446235277260
10141899167872
11551a7421070
12236018b2000
13104c5193b77
146c2195aa40
153a57817d4c
hex2109d97880

141899167872 has 1024 divisors, whose sum is σ = 547474636800. Its totient is φ = 35110195200.

The previous prime is 141899167867. The next prime is 141899167889. The reversal of 141899167872 is 278761998141.

141899167872 is a `hidden beast` number, since 1 + 418 + 9 + 91 + 67 + 8 + 72 = 666.

141899167872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (12192768) is a multiple of the sum of its prime divisors (324).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 849695533 + ... + 849695699.

It is an arithmetic number, because the mean of its divisors is an integer number (534643200).

Almost surely, 2141899167872 is an apocalyptic number.

141899167872 is a gapful number since it is divisible by the number (12) 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 141899167872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273737318400).

141899167872 is an abundant number, since it is smaller than the sum of its proper divisors (405575468928).

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

141899167872 is a wasteful number, since it uses less digits than its factorization.

141899167872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 324 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 63.

The spelling of 141899167872 in words is "one hundred forty-one billion, eight hundred ninety-nine million, one hundred sixty-seven thousand, eight hundred seventy-two".