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231314034798 = 23371133114831
BaseRepresentation
bin1101011101101101100…
…1000001000001101110
3211010001200011110202000
43113123121001001232
512242212343103143
6254133022313130
722466114566050
oct3273331010156
9733050143660
10231314034798
118a110819000
12389b67287a6
1318a749c4452
14b2a4c618d0
15603c611bd3
hex35db64106e

231314034798 has 256 divisors, whose sum is σ = 667055554560. Its totient is φ = 58139532000.

The previous prime is 231314034773. The next prime is 231314034839. The reversal of 231314034798 is 897430413132.

231314034798 is a `hidden beast` number, since 2 + 3 + 131 + 40 + 3 + 479 + 8 = 666.

231314034798 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15589243 + ... + 15604073.

It is an arithmetic number, because the mean of its divisors is an integer number (2605685760).

Almost surely, 2231314034798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231314034798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333527777280).

231314034798 is an abundant number, since it is smaller than the sum of its proper divisors (435741519762).

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

231314034798 is a wasteful number, since it uses less digits than its factorization.

231314034798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14913 (or 14885 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 231314034798 in words is "two hundred thirty-one billion, three hundred fourteen million, thirty-four thousand, seven hundred ninety-eight".