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1014000431 = 13730724109
BaseRepresentation
bin111100011100000…
…110101100101111
32121200000120002112
4330130012230233
54034041003211
6244341314235
734061601323
oct7434065457
92550016075
101014000431
11480416594
1224370597b
131320cc872
1498953983
155e04988b
hex3c706b2f

1014000431 has 8 divisors (see below), whose sum is σ = 1024771440. Its totient is φ = 1003278528.

The previous prime is 1014000409. The next prime is 1014000443. The reversal of 1014000431 is 1340004101.

It is a happy number.

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 1014000431 - 26 = 1014000367 is a prime.

It is a super-2 number, since 2×10140004312 = 2056393748136371522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014000451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30005 + ... + 54113.

It is an arithmetic number, because the mean of its divisors is an integer number (128096430).

Almost surely, 21014000431 is an apocalyptic number.

1014000431 is a deficient number, since it is larger than the sum of its proper divisors (10771009).

1014000431 is a wasteful number, since it uses less digits than its factorization.

1014000431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24553.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1014000431 is about 31843.3734236811. The cubic root of 1014000431 is about 1004.6451990480.

Adding to 1014000431 its reverse (1340004101), we get a palindrome (2354004532).

The spelling of 1014000431 in words is "one billion, fourteen million, four hundred thirty-one", and thus it is an aban number.

Divisors: 1 137 307 24109 42059 3302933 7401463 1014000431