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231190339798440 = 2333511233741954577
BaseRepresentation
bin110100100100010000110010…
…000101000100010110101000
31010022120120200021122211202000
4310210100302011010112220
5220300310303442022230
62135411213105411000
766460644066243111
oct6444206205042650
91108516607584660
10231190339798440
11677342aa773040
1221b1a2a1039a60
139c0020381c319
14411395a549208
151badbd0916b60
hexd244321445a8

231190339798440 has 1024 divisors, whose sum is σ = 903120067584000. Its totient is φ = 52035011297280.

The previous prime is 231190339798391. The next prime is 231190339798469. The reversal of 231190339798440 is 44897933091132.

231190339798440 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 90 + 3 + 39 + 79 + 8 + 440 = 666.

It is a super-2 number, since 2×2311903397984402 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4236012432 + ... + 4236067008.

It is an arithmetic number, because the mean of its divisors is an integer number (881953191000).

Almost surely, 2231190339798440 is an apocalyptic number.

231190339798440 is a gapful number since it is divisible by the number (20) 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 231190339798440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451560033792000).

231190339798440 is an abundant number, since it is smaller than the sum of its proper divisors (671929727785560).

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

231190339798440 is a wasteful number, since it uses less digits than its factorization.

231190339798440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55087 (or 55077 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 231190339798440 in words is "two hundred thirty-one trillion, one hundred ninety billion, three hundred thirty-nine million, seven hundred ninety-eight thousand, four hundred forty".