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1004032000431 = 321575931198259
BaseRepresentation
bin11101001110001001111…
…10001000000110101111
310112222120201100021021100
432213010332020012233
5112422224143003211
62045125042134143
7132352564122225
oct16470476100657
93488521307240
101004032000431
11357897986559
12142708351353
13738ab712905
1436849b2ab15
151b1b570d156
hexe9c4f881af

1004032000431 has 24 divisors (see below), whose sum is σ = 1461968267760. Its totient is φ = 663969136896.

The previous prime is 1004032000381. The next prime is 1004032000469. The reversal of 1004032000431 is 1340002304001.

It is not a de Polignac number, because 1004032000431 - 27 = 1004032000303 is a prime.

It is a super-2 number, since 2×10040320004312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004032000331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238780 + ... + 1437038.

It is an arithmetic number, because the mean of its divisors is an integer number (60915344490).

Almost surely, 21004032000431 is an apocalyptic number.

1004032000431 is a deficient number, since it is larger than the sum of its proper divisors (457936267329).

1004032000431 is a wasteful number, since it uses less digits than its factorization.

1004032000431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199015 (or 1199012 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1004032000431 its reverse (1340002304001), we get a palindrome (2344034304432).

The spelling of 1004032000431 in words is "one trillion, four billion, thirty-two million, four hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 9 157 471 593 1413 1779 5337 93101 279303 837909 1198259 3594777 10784331 188126663 564379989 710567587 1693139967 2131702761 6395108283 111559111159 334677333477 1004032000431