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231449097116160 = 29335711197220747
BaseRepresentation
bin110100101000000001110001…
…001101111001101000000000
31010100111022120112012112101000
4310220001301031321220000
5220314030222330204120
62140130125233012000
766515434250200320
oct6450016115715000
91110438515175330
10231449097116160
1167824013502750
1221b604763b4000
139c1b72ccab801
1441222a603d280
151bb57c7471990
hexd28071379a00

231449097116160 has 1280 divisors, whose sum is σ = 1030196514631680. Its totient is φ = 47848973598720.

The previous prime is 231449097116147. The next prime is 231449097116227. The reversal of 231449097116160 is 61611790944132.

231449097116160 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 4 + 9 + 0 + 9 + 7 + 11 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 231449097116097 and 231449097116106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1048370907 + ... + 1048591653.

It is an arithmetic number, because the mean of its divisors is an integer number (804841027056).

Almost surely, 2231449097116160 is an apocalyptic number.

231449097116160 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 231449097116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515098257315840).

231449097116160 is an abundant number, since it is smaller than the sum of its proper divisors (798747417515520).

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

231449097116160 is a wasteful number, since it uses less digits than its factorization.

231449097116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220994 (or 220972 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 231449097116160 in words is "two hundred thirty-one trillion, four hundred forty-nine billion, ninety-seven million, one hundred sixteen thousand, one hundred sixty".