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23140432305 = 32513713992683
BaseRepresentation
bin10101100011010001…
…101111100110110001
32012201200210202111100
4111203101233212301
5334342422313210
614344111435013
71446304300134
oct254321574661
965650722440
1023140432305
1198a5197321
124599825a69
13224a1bb1c3
14119740621b
159067ee5c0
hex56346f9b1

23140432305 has 48 divisors (see below), whose sum is σ = 40446806400. Its totient is φ = 12238159104.

The previous prime is 23140432297. The next prime is 23140432379. The reversal of 23140432305 is 50323404132.

23140432305 is a `hidden beast` number, since 2 + 314 + 0 + 43 + 2 + 305 = 666.

It is not a de Polignac number, because 23140432305 - 23 = 23140432297 is a prime.

It is a super-2 number, since 2×231404323052 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8623494 + ... + 8626176.

It is an arithmetic number, because the mean of its divisors is an integer number (842641800).

Almost surely, 223140432305 is an apocalyptic number.

It is an amenable number.

23140432305 is a deficient number, since it is larger than the sum of its proper divisors (17306374095).

23140432305 is a wasteful number, since it uses less digits than its factorization.

23140432305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 23140432305 its reverse (50323404132), we get a palindrome (73463836437).

The spelling of 23140432305 in words is "twenty-three billion, one hundred forty million, four hundred thirty-two thousand, three hundred five".

Divisors: 1 3 5 9 15 45 137 411 685 1233 1399 2055 2683 4197 6165 6995 8049 12591 13415 20985 24147 40245 62955 120735 191663 367571 574989 958315 1102713 1724967 1837855 2874945 3308139 3753517 5513565 8624835 11260551 16540695 18767585 33781653 56302755 168908265 514231829 1542695487 2571159145 4628086461 7713477435 23140432305