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232140114432 = 293397233743
BaseRepresentation
bin1101100000110010100…
…0010000101000000000
3211012012020120122222000
43120030220100220000
512300410332130212
6254351012144000
722525435262352
oct3301450205000
9735166518860
10232140114432
118a4a5051946
1238ba7308000
1318b76ba8a75
14b3428590d2
156089ddb1dc
hex360ca10a00

232140114432 has 320 divisors, whose sum is σ = 698152815360. Its totient is φ = 76150996992.

The previous prime is 232140114359. The next prime is 232140114463. The reversal of 232140114432 is 234411041232.

232140114432 is a `hidden beast` number, since 2 + 3 + 214 + 0 + 1 + 1 + 443 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 232140114396 and 232140114405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312435853 + ... + 312436595.

It is an arithmetic number, because the mean of its divisors is an integer number (2181727548).

Almost surely, 2232140114432 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 232140114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349076407680).

232140114432 is an abundant number, since it is smaller than the sum of its proper divisors (466012700928).

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

232140114432 is an equidigital number, since it uses as much as digits as its factorization.

232140114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 232140114432 its reverse (234411041232), we get a palindrome (466551155664).

The spelling of 232140114432 in words is "two hundred thirty-two billion, one hundred forty million, one hundred fourteen thousand, four hundred thirty-two".