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9140376961 = 172269723689
BaseRepresentation
bin10001000001100111…
…10001010110000001
3212121000020021000001
420200303301112001
5122204414030321
64110554000001
7442335631222
oct104063612601
925530207001
109140376961
113970560551
121931116001
13b288900a1
14629d17249
153876a9c91
hex220cf1581

9140376961 has 8 divisors (see below), whose sum is σ = 9678881160. Its totient is φ = 8601965568.

The previous prime is 9140376941. The next prime is 9140376989. The reversal of 9140376961 is 1696730419.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 186486336 + 8953890625 = 13656^2 + 94625^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9140376961 - 221 = 9138279809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9140376941) 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 7 ways as a sum of consecutive naturals, for example, 374005 + ... + 397693.

It is an arithmetic number, because the mean of its divisors is an integer number (1209860145).

Almost surely, 29140376961 is an apocalyptic number.

It is an amenable number.

9140376961 is a deficient number, since it is larger than the sum of its proper divisors (538504199).

9140376961 is a wasteful number, since it uses less digits than its factorization.

9140376961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46403.

The product of its (nonzero) digits is 244944, while the sum is 46.

The square root of 9140376961 is about 95605.3186857300. The cubic root of 9140376961 is about 2090.8427392069.

The spelling of 9140376961 in words is "nine billion, one hundred forty million, three hundred seventy-six thousand, nine hundred sixty-one".

Divisors: 1 17 22697 23689 385849 402713 537669233 9140376961