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3141400023 = 33269523827
BaseRepresentation
bin1011101100111101…
…1111010111010111
322002221002122201000
42323033133113113
522413144300043
61235415034343
7140563313436
oct27317372727
98087078630
103141400023
111372269373
1273806b9b3
133b0a91ba8
1421b2d311d
15135bc52d3
hexbb3df5d7

3141400023 has 32 divisors (see below), whose sum is σ = 4685817600. Its totient is φ = 2079973728.

The previous prime is 3141400013. The next prime is 3141400027. The reversal of 3141400023 is 3200041413.

It is not a de Polignac number, because 3141400023 - 221 = 3139302871 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3141399969 and 3141400005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141400027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3798136 + ... + 3798962.

It is an arithmetic number, because the mean of its divisors is an integer number (146431800).

Almost surely, 23141400023 is an apocalyptic number.

3141400023 is a deficient number, since it is larger than the sum of its proper divisors (1544417577).

3141400023 is a wasteful number, since it uses less digits than its factorization.

3141400023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1622 counting only the distinct ones).

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

The square root of 3141400023 is about 56048.1937532335. The cubic root of 3141400023 is about 1464.5619525363.

Adding to 3141400023 its reverse (3200041413), we get a palindrome (6341441436).

The spelling of 3141400023 in words is "three billion, one hundred forty-one million, four hundred thousand, twenty-three".

Divisors: 1 3 9 27 269 523 807 827 1569 2421 2481 4707 7263 7443 14121 22329 140687 222463 422061 432521 667389 1266183 1297563 2002167 3798549 3892689 6006501 11678067 116348149 349044447 1047133341 3141400023