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9141940640 = 255723367967
BaseRepresentation
bin10001000001110011…
…01111000110100000
3212121010011200222002
420200321233012200
5122210314100030
64111051303132
7442355133110
oct104071570640
925533150862
109141940640
113971429348
12193174aaa8
13b28cb9a41
1462a203040
153878b8245
hex220e6f1a0

9141940640 has 192 divisors, whose sum is σ = 25853313024. Its totient is φ = 2986841088.

The previous prime is 9141940627. The next prime is 9141940651. The reversal of 9141940640 is 460491419.

It is a junction number, because it is equal to n+sod(n) for n = 9141940594 and 9141940603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9453437 + ... + 9454403.

It is an arithmetic number, because the mean of its divisors is an integer number (134652672).

Almost surely, 29141940640 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 9141940640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12926656512).

9141940640 is an abundant number, since it is smaller than the sum of its proper divisors (16711372384).

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

9141940640 is a wasteful number, since it uses less digits than its factorization.

9141940640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 9141940640 is about 95613.4961184874. The cubic root of 9141940640 is about 2090.9619618778.

The spelling of 9141940640 in words is "nine billion, one hundred forty-one million, nine hundred forty thousand, six hundred forty".