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231412387968 = 273337712359
BaseRepresentation
bin1101011110000101000…
…0001101000010000000
3211010022112020022221000
43113201100031002000
512242413032403333
6254150454332000
722501420562016
oct3274120150200
9733275208830
10231412387968
118a161295213
1238a2365a000
1318a8c1ac4a8
14b2b3d448b6
15604608d713
hex35e140d080

231412387968 has 384 divisors, whose sum is σ = 713447568000. Its totient is φ = 73789470720.

The previous prime is 231412387967. The next prime is 231412387991. The reversal of 231412387968 is 869783214132.

It is a happy number.

231412387968 is a `hidden beast` number, since 2 + 314 + 1 + 238 + 7 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (231412387967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644602573 + ... + 644602931.

It is an arithmetic number, because the mean of its divisors is an integer number (1857936375).

Almost surely, 2231412387968 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 231412387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356723784000).

231412387968 is an abundant number, since it is smaller than the sum of its proper divisors (482035180032).

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

231412387968 is an equidigital number, since it uses as much as digits as its factorization.

231412387968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 472 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 231412387968 in words is "two hundred thirty-one billion, four hundred twelve million, three hundred eighty-seven thousand, nine hundred sixty-eight".