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231742439424 = 216331961113
BaseRepresentation
bin1101011111010011101…
…1010000000000000000
3211011011112021200102000
43113310323100000000
512244102031030144
6254243324424000
722512536143116
oct3276473200000
9734145250360
10231742439424
118a310624811
1238ab60a8000
1318b1269c802
14b305adbab6
156065036769
hex35f4ed0000

231742439424 has 544 divisors, whose sum is σ = 741127862400. Its totient is φ = 71345111040.

The previous prime is 231742439407. The next prime is 231742439431. The reversal of 231742439424 is 424934247132.

231742439424 is a `hidden beast` number, since 2 + 3 + 174 + 2 + 439 + 42 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 231742439424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2050817992 + ... + 2050818104.

Almost surely, 2231742439424 is an apocalyptic number.

231742439424 is a gapful number since it is divisible by the number (24) 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 231742439424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370563931200).

231742439424 is an abundant number, since it is smaller than the sum of its proper divisors (509385422976).

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

231742439424 is an equidigital number, since it uses as much as digits as its factorization.

231742439424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 198 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 231742439424 in words is "two hundred thirty-one billion, seven hundred forty-two million, four hundred thirty-nine thousand, four hundred twenty-four".