514442535240100 has 36 divisors (see below), whose sum is σ = 1154834794631700. Its totient is φ = 198681254988160.

The previous prime is 514442535240059. The next prime is 514442535240113. The reversal of 514442535240100 is 1042535244415.

It can be written as a sum of positive squares in 6 ways, for example, as 42249896000064 + 472192639240036 = 6499992^2 + 21729994^2 .

It is a super-2 number, since 2×514442535240100² (a number of 30 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 11 ways as a sum of consecutive naturals, for example, 88696985935 + ... + 88696991734.

It is an arithmetic number, because the mean of its divisors is an integer number (32078744295325).

Almost surely, 2^{514442535240100} is an apocalyptic number.

514442535240100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

514442535240100 is an abundant number, since it is smaller than the sum of its proper divisors (640392259391600).

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

514442535240100 is a wasteful number, since it uses less digits than its factorization.

514442535240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177393977712 (or 177393977705 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

The spelling of 514442535240100 in words is "five hundred fourteen trillion, four hundred forty-two billion, five hundred thirty-five million, two hundred forty thousand, one hundred".