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9140709312 = 2632722314081
BaseRepresentation
bin10001000001101010…
…00010011111000000
3212121000212010220100
420200311002133000
5122210010144222
64111005042400
7442341514200
oct104065023700
925530763810
109140709312
113970768219
121931256400
13b28978447
14629da2400
153877234ac
hex220d427c0

9140709312 has 252 divisors, whose sum is σ = 31805154576. Its totient is φ = 2497904640.

The previous prime is 9140709301. The next prime is 9140709323. The reversal of 9140709312 is 2139070419.

It is an interprime number because it is at equal distance from previous prime (9140709301) and next prime (9140709323).

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 642112 + ... + 656192.

Almost surely, 29140709312 is an apocalyptic number.

9140709312 is a gapful number since it is divisible by the number (92) 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 9140709312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15902577288).

9140709312 is an abundant number, since it is smaller than the sum of its proper divisors (22664445264).

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

9140709312 is a wasteful number, since it uses less digits than its factorization.

9140709312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14136 (or 14116 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9140709312 is about 95607.0568106769. The cubic root of 9140709312 is about 2090.8680804394.

The spelling of 9140709312 in words is "nine billion, one hundred forty million, seven hundred nine thousand, three hundred twelve".