Search a number
-
+
142402117824 = 2633293122957
BaseRepresentation
bin1000010010011111010…
…0111110000011000000
3111121120020201002221000
42010213310332003000
54313114420232244
6145230231332000
713200600013161
oct2044764760300
9447506632830
10142402117824
115543531288a
1223722221000
131057543c8a5
146c6c67d768
153a86a65169
hex2127d3e0c0

142402117824 has 336 divisors, whose sum is σ = 447643605600. Its totient is φ = 44337162240.

The previous prime is 142402117807. The next prime is 142402117843. The reversal of 142402117824 is 428711204241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48156154 + ... + 48159110.

Almost surely, 2142402117824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142402117824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223821802800).

142402117824 is an abundant number, since it is smaller than the sum of its proper divisors (305241487776).

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

142402117824 is a wasteful number, since it uses less digits than its factorization.

142402117824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 142402117824 in words is "one hundred forty-two billion, four hundred two million, one hundred seventeen thousand, eight hundred twenty-four".