140042645016100 has 72 divisors (see below), whose sum is σ = 304048911452328. Its totient is φ = 55988238028800.

The previous prime is 140042645016089. The next prime is 140042645016143. The reversal of 140042645016100 is 1610546240041.

It can be written as a sum of positive squares in 12 ways, for example, as 63755242457344 + 76287402558756 = 7984688^2 + 8734266^2 .

It is a super-2 number, since 2×140042645016100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4143624402 + ... + 4143658198.

It is an arithmetic number, because the mean of its divisors is an integer number (4222901547949).

Almost surely, 2^{140042645016100} is an apocalyptic number.

140042645016100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140042645016100 is an abundant number, since it is smaller than the sum of its proper divisors (164006266436228).

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

140042645016100 is a wasteful number, since it uses less digits than its factorization.

140042645016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53905 (or 53898 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 140042645016100 in words is "one hundred forty trillion, forty-two billion, six hundred forty-five million, sixteen thousand, one hundred".