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141217131935 = 5112461506327
BaseRepresentation
bin1000001110000100110…
…0100110110110011111
3111111111122221120212202
42003201030212312133
54303203041210220
6144512501122115
713126330546625
oct2034114466637
9444448846782
10141217131935
1154987431400
12234513b933b
1310416aa42c9
146b9913b515
153a179e3275
hex20e1326d9f

141217131935 has 24 divisors (see below), whose sum is σ = 186670981728. Its totient is φ = 102480382400.

The previous prime is 141217131893. The next prime is 141217131941. The reversal of 141217131935 is 539131712141.

141217131935 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 141217131935 - 230 = 140143390111 is a prime.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 25742 + ... + 532068.

It is an arithmetic number, because the mean of its divisors is an integer number (7777957572).

Almost surely, 2141217131935 is an apocalyptic number.

141217131935 is a deficient number, since it is larger than the sum of its proper divisors (45453849793).

141217131935 is a wasteful number, since it uses less digits than its factorization.

141217131935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506815 (or 506804 counting only the distinct ones).

The product of its digits is 22680, while the sum is 38.

The spelling of 141217131935 in words is "one hundred forty-one billion, two hundred seventeen million, one hundred thirty-one thousand, nine hundred thirty-five".

Divisors: 1 5 11 55 121 461 605 2305 5071 25355 55781 278905 506327 2531635 5569597 27847985 61265567 233416747 306327835 1167083735 2567584217 12837921085 28243426387 141217131935