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161415014112 = 25341153223479
BaseRepresentation
bin1001011001010100010…
…1011010011011100000
3120102122021211022110000
42112111011122123200
510121034220422422
6202053015540000
714443004660532
oct2262505323340
9512567738400
10161415014112
1162501627210
122734968a600
13122b5474291
147b53813852
1542eaceacac
hex259515a6e0

161415014112 has 480 divisors, whose sum is σ = 531116974080. Its totient is φ = 47675796480.

The previous prime is 161415014087. The next prime is 161415014147. The reversal of 161415014112 is 211410514161.

It is a happy number.

161415014112 is a `hidden beast` number, since 1 + 6 + 1 + 41 + 501 + 4 + 112 = 666.

161415014112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 336983089 + ... + 336983567.

It is an arithmetic number, because the mean of its divisors is an integer number (1106493696).

Almost surely, 2161415014112 is an apocalyptic number.

161415014112 is a gapful number since it is divisible by the number (12) 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 161415014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265558487040).

161415014112 is an abundant number, since it is smaller than the sum of its proper divisors (369701959968).

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

161415014112 is a wasteful number, since it uses less digits than its factorization.

161415014112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 161415014112 its reverse (211410514161), we get a palindrome (372825528273).

The spelling of 161415014112 in words is "one hundred sixty-one billion, four hundred fifteen million, fourteen thousand, one hundred twelve".