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114214132017 = 32411392226787
BaseRepresentation
bin110101001011110110…
…0010101100100110001
3101220210210001001201200
41222113230111210301
53332402304211032
6124245205121413
711152222050426
oct1522754254461
9356723031650
10114214132017
114448a999947
121a1760b9269
13aa025b314b
145756b57d4d
152e8706947c
hex1a97b15931

114214132017 has 24 divisors (see below), whose sum is σ = 170215674720. Its totient is φ = 73751152320.

The previous prime is 114214132013. The next prime is 114214132031. The reversal of 114214132017 is 710231412411.

It is a happy number.

114214132017 is a `hidden beast` number, since 1 + 1 + 42 + 1 + 413 + 201 + 7 = 666.

It is not a de Polignac number, because 114214132017 - 22 = 114214132013 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114214132013) by changing a digit.

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, 1062103 + ... + 1164684.

It is an arithmetic number, because the mean of its divisors is an integer number (7092319780).

Almost surely, 2114214132017 is an apocalyptic number.

It is an amenable number.

114214132017 is a deficient number, since it is larger than the sum of its proper divisors (56001542703).

114214132017 is a wasteful number, since it uses less digits than its factorization.

114214132017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226973 (or 2226970 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 114214132017 its reverse (710231412411), we get a palindrome (824445544428).

The spelling of 114214132017 in words is "one hundred fourteen billion, two hundred fourteen million, one hundred thirty-two thousand, seventeen".

Divisors: 1 3 9 41 123 139 369 417 1251 5699 17097 51291 2226787 6680361 20041083 91298267 273894801 309523393 821684403 928570179 2785710537 12690459113 38071377339 114214132017