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3140162127 = 331066710903
BaseRepresentation
bin1011101100101011…
…0001001001001111
322002211202202122000
42323022301021033
522412340142002
61235332323343
7140546636424
oct27312611117
98084682560
103140162127
1113715a3313
12737773553
133b074a5cb
1421b08dd4b
15135a2d61c
hexbb2b124f

3140162127 has 16 divisors (see below), whose sum is σ = 4652954880. Its totient is φ = 2093053176.

The previous prime is 3140162107. The next prime is 3140162131. The reversal of 3140162127 is 7212610413.

3140162127 is a `hidden beast` number, since 3 + 14 + 0 + 1 + 621 + 27 = 666.

It is not a de Polignac number, because 3140162127 - 215 = 3140129359 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3140162127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140162107) 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 15 ways as a sum of consecutive naturals, for example, 282558 + ... + 293460.

It is an arithmetic number, because the mean of its divisors is an integer number (290809680).

Almost surely, 23140162127 is an apocalyptic number.

3140162127 is a deficient number, since it is larger than the sum of its proper divisors (1512792753).

3140162127 is a wasteful number, since it uses less digits than its factorization.

3140162127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21579 (or 21573 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3140162127 is about 56037.1495260064. The cubic root of 3140162127 is about 1464.3695528036.

It can be divided in two parts, 31401 and 62127, that added together give a triangular number (93528 = T432).

The spelling of 3140162127 in words is "three billion, one hundred forty million, one hundred sixty-two thousand, one hundred twenty-seven".

Divisors: 1 3 9 27 10667 10903 32001 32709 96003 98127 288009 294381 116302301 348906903 1046720709 3140162127