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9414000640 = 21451131337
BaseRepresentation
bin10001100010001111…
…00100000000000000
3220022002002210010101
420301013210000000
5123234441010030
64154050412144
7452200454002
oct106107440000
926262083111
109414000640
113aa0a5a020
1219a8891054
13b704843a5
146543c2372
153a17087ca
hex2311e4000

9414000640 has 240 divisors, whose sum is σ = 25517366784. Its totient is φ = 3303014400.

The previous prime is 9414000581. The next prime is 9414000683. The reversal of 9414000640 is 460004149.

It is a junction number, because it is equal to n+sod(n) for n = 9414000599 and 9414000608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27934552 + ... + 27934888.

Almost surely, 29414000640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9414000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12758683392).

9414000640 is an abundant number, since it is smaller than the sum of its proper divisors (16103366144).

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

9414000640 is a wasteful number, since it uses less digits than its factorization.

9414000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 9414000640 is about 97025.7730708702. The cubic root of 9414000640 is about 2111.5015658800.

Adding to 9414000640 its reverse (460004149), we get a palindrome (9874004789).

The spelling of 9414000640 in words is "nine billion, four hundred fourteen million, six hundred forty", and thus it is an aban number.