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1414105627 = 112937119809
BaseRepresentation
bin101010001001001…
…1000101000011011
310122112220000020111
41110102120220123
510344002340002
6352153105151
750020461634
oct12422305033
93575800214
101414105627
11666253540
123356b81b7
13196c79cbc
14d5b4488b
158422e3d7
hex54498a1b

1414105627 has 16 divisors (see below), whose sum is σ = 1639000800. Its totient is φ = 1207664640.

The previous prime is 1414105601. The next prime is 1414105669. The reversal of 1414105627 is 7265014141.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1414105627 is a prime.

It is a super-3 number, since 3×14141056273 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1414105127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48102 + ... + 71707.

It is an arithmetic number, because the mean of its divisors is an integer number (102437550).

Almost surely, 21414105627 is an apocalyptic number.

1414105627 is a deficient number, since it is larger than the sum of its proper divisors (224895173).

1414105627 is a wasteful number, since it uses less digits than its factorization.

1414105627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119886.

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 1414105627 is about 37604.5958228512. The cubic root of 1414105627 is about 1122.4334914621.

Adding to 1414105627 its reverse (7265014141), we get a palindrome (8679119768).

The spelling of 1414105627 in words is "one billion, four hundred fourteen million, one hundred five thousand, six hundred twenty-seven".

Divisors: 1 11 29 37 319 407 1073 11803 119809 1317899 3474461 4432933 38219071 48762263 128555057 1414105627