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142143137472 = 26374123311071
BaseRepresentation
bin1000010001100001100…
…1000010011011000000
3111120220012101112200010
42010120121002123000
54312102120344342
6145144420424520
713161303506340
oct2043031023300
9446805345603
10142143137472
1155312106036
122366b548140
13105338a478b
146c46106d20
153a6de5a29c
hex21186426c0

142143137472 has 224 divisors, whose sum is σ = 442226663424. Its totient is φ = 39448166400.

The previous prime is 142143137449. The next prime is 142143137473. The reversal of 142143137472 is 274731341241.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 142143137472.

It is not an unprimeable number, because it can be changed into a prime (142143137473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12833697 + ... + 12844767.

It is an arithmetic number, because the mean of its divisors is an integer number (1974226176).

Almost surely, 2142143137472 is an apocalyptic number.

142143137472 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 142143137472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221113331712).

142143137472 is an abundant number, since it is smaller than the sum of its proper divisors (300083525952).

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

142143137472 is a wasteful number, since it uses less digits than its factorization.

142143137472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11367 (or 11357 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The spelling of 142143137472 in words is "one hundred forty-two billion, one hundred forty-three million, one hundred thirty-seven thousand, four hundred seventy-two".