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3114166272 = 211371937103
BaseRepresentation
bin1011100110011110…
…0110100000000000
322001000212001000120
42321213212200000
522334211310042
61233003220240
7140112655650
oct27147464000
98030761016
103114166272
111358958238
1272ab17680
133a8248049
14217844360
151335e5dec
hexb99e6800

3114166272 has 384 divisors, whose sum is σ = 10357401600. Its totient is φ = 812187648.

The previous prime is 3114166271. The next prime is 3114166273. The reversal of 3114166272 is 2726614113.

It is an interprime number because it is at equal distance from previous prime (3114166271) and next prime (3114166273).

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3114166271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30234573 + ... + 30234675.

It is an arithmetic number, because the mean of its divisors is an integer number (26972400).

Almost surely, 23114166272 is an apocalyptic number.

3114166272 is a gapful number since it is divisible by the number (32) 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 3114166272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5178700800).

3114166272 is an abundant number, since it is smaller than the sum of its proper divisors (7243235328).

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

3114166272 is a wasteful number, since it uses less digits than its factorization.

3114166272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 3114166272 is about 55804.7154996780. The cubic root of 3114166272 is about 1460.3174189438.

The spelling of 3114166272 in words is "three billion, one hundred fourteen million, one hundred sixty-six thousand, two hundred seventy-two".