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140431958352 = 243271735031601
BaseRepresentation
bin1000001011001001100…
…1011010000101010000
3111102110221111122012200
42002302121122011100
54300101040131402
6144302532123200
713101014644050
oct2026231320520
9442427448180
10140431958352
11546141a7914
1223272466500
1310320212a5a
146b22b51560
1539bdae921c
hex20b265a150

140431958352 has 240 divisors, whose sum is σ = 452936510208. Its totient is φ = 39787315200.

The previous prime is 140431958351. The next prime is 140431958377. The reversal of 140431958352 is 253859134041.

140431958352 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 3 + 19 + 583 + 52 = 666.

It is a super-2 number, since 2×1404319583522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140431958298 and 140431958307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140431958351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87714352 + ... + 87715952.

Almost surely, 2140431958352 is an apocalyptic number.

140431958352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140431958352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226468255104).

140431958352 is an abundant number, since it is smaller than the sum of its proper divisors (312504551856).

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

140431958352 is a wasteful number, since it uses less digits than its factorization.

140431958352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 140431958352 in words is "one hundred forty billion, four hundred thirty-one million, nine hundred fifty-eight thousand, three hundred fifty-two".