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231416945655168 = 273713167251157991
BaseRepresentation
bin110100100111100011110100…
…110101110011110110000000
31010100101020120211120002100110
4310213203310311303312000
5220313013401041431133
62140103251023351320
766513215434243410
oct6447436465636600
91110336524502313
10231416945655168
1167811414882189
1221b561a2a52540
139c186a7c7b490
1441208d5d90640
151bb4a44a17c63
hexd278f4d73d80

231416945655168 has 512 divisors, whose sum is σ = 764122721402880. Its totient is φ = 60425487360000.

The previous prime is 231416945655083. The next prime is 231416945655199. The reversal of 231416945655168 is 861556549614132.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 231416945655099 and 231416945655108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1464668653 + ... + 1464826643.

It is an arithmetic number, because the mean of its divisors is an integer number (1492427190240).

Almost surely, 2231416945655168 is an apocalyptic number.

231416945655168 is a gapful number since it is divisible by the number (28) 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 231416945655168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382061360701440).

231416945655168 is an abundant number, since it is smaller than the sum of its proper divisors (532705775747712).

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

231416945655168 is a wasteful number, since it uses less digits than its factorization.

231416945655168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158446 (or 158434 counting only the distinct ones).

The product of its digits is 186624000, while the sum is 66.

The spelling of 231416945655168 in words is "two hundred thirty-one trillion, four hundred sixteen billion, nine hundred forty-five million, six hundred fifty-five thousand, one hundred sixty-eight".