140431312234112 has 128 divisors (see below), whose sum is σ = 298574919363600. Its totient is φ = 65562523729920.

The previous prime is 140431312234097. The next prime is 140431312234159. The reversal of 140431312234112 is 211432213134041.

It can be written as a sum of positive squares in 8 ways, for example, as 121530869002816 + 18900443231296 = 11024104^2 + 4347464^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139521968 + ... + 140524880.

Almost surely, 2^{140431312234112} 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 140431312234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149287459681800).

140431312234112 is an abundant number, since it is smaller than the sum of its proper divisors (158143607129488).

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

140431312234112 is a wasteful number, since it uses less digits than its factorization.

140431312234112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003454 (or 1003442 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 140431312234112 its reverse (211432213134041), we get a palindrome (351863525368153).

The spelling of 140431312234112 in words is "one hundred forty trillion, four hundred thirty-one billion, three hundred twelve million, two hundred thirty-four thousand, one hundred twelve".