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140288130528 = 25373132314249
BaseRepresentation
bin1000001010100111010…
…0101111110111100000
3111102002220212102112020
42002221310233313200
54244302230134103
6144240353301440
713064320302000
oct2025164576740
9442086772466
10140288130528
115454aaa0947
1223232264880
13102c9495330
146b0b9d2000
1539b1188753
hex20a9d2fde0

140288130528 has 384 divisors, whose sum is σ = 482630400000. Its totient is φ = 35387928576.

The previous prime is 140288130467. The next prime is 140288130529. The reversal of 140288130528 is 825031882041.

140288130528 is digitally balanced in base 2, 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 (42).

It is a self number, because there is not a number n which added to its sum of digits gives 140288130528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140288130529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9838348 + ... + 9852596.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850000).

Almost surely, 2140288130528 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 140288130528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241315200000).

140288130528 is an abundant number, since it is smaller than the sum of its proper divisors (342342269472).

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

140288130528 is a wasteful number, since it uses less digits than its factorization.

140288130528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14319 (or 14297 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 140288130528 in words is "one hundred forty billion, two hundred eighty-eight million, one hundred thirty thousand, five hundred twenty-eight".