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10040094000 = 2432531931947
BaseRepresentation
bin10010101100110111…
…11010110100110000
3221220201012121202100
421112123322310300
5131030231002000
64340134020400
7503542251036
oct112633726460
927821177670
1010040094000
11429240a252
121b424a7700
13c400b7a31
146b35dc556
153db67ca00
hex2566fad30

10040094000 has 480 divisors, whose sum is σ = 38143272960. Its totient is φ = 2452032000.

The previous prime is 10040093977. The next prime is 10040094007. The reversal of 10040094000 is 49004001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10040094007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10601527 + ... + 10602473.

It is an arithmetic number, because the mean of its divisors is an integer number (79465152).

Almost surely, 210040094000 is an apocalyptic number.

10040094000 is a gapful number since it is divisible by the number (10) 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 10040094000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19071636480).

10040094000 is an abundant number, since it is smaller than the sum of its proper divisors (28103178960).

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

10040094000 is a wasteful number, since it uses less digits than its factorization.

10040094000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10040094000 its reverse (49004001), we get a palindrome (10089098001).

The spelling of 10040094000 in words is "ten billion, forty million, ninety-four thousand".