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140322034314 = 23472112146093
BaseRepresentation
bin1000001010101111011…
…0000101001010001010
3111102012021122220210000
42002223312011022022
54244334420044224
6144244004103430
713065211416600
oct2025366051212
9442167586700
10140322034314
1154568148300
1223241694b76
1310303506147
146b122d9870
1539b41340c9
hex20abd8528a

140322034314 has 180 divisors, whose sum is σ = 402036516882. Its totient is φ = 36447032160.

The previous prime is 140322034301. The next prime is 140322034337. The reversal of 140322034314 is 413430223041.

140322034314 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 220 + 3 + 431 + 4 = 666.

140322034314 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 74930850225 + 65391184089 = 273735^2 + 255717^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 887452 + ... + 1033544.

Almost surely, 2140322034314 is an apocalyptic number.

140322034314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140322034314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201018258441).

140322034314 is an abundant number, since it is smaller than the sum of its proper divisors (261714482568).

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

140322034314 is a wasteful number, since it uses less digits than its factorization.

140322034314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146143 (or 146116 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 140322034314 its reverse (413430223041), we get a palindrome (553752257355).

The spelling of 140322034314 in words is "one hundred forty billion, three hundred twenty-two million, thirty-four thousand, three hundred fourteen".