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7142112417 = 311565138299
BaseRepresentation
bin1101010011011001…
…11111110010100001
3200102202010220101010
412221230333302201
5104111340044132
63140412131133
7341662645116
oct65154776241
920382126333
107142112417
113035599850
121473a66aa9
1389a8a292b
144ba79090d
152bc03b6cc
hex1a9b3fca1

7142112417 has 16 divisors (see below), whose sum is σ = 10390636800. Its totient is φ = 4327674000.

The previous prime is 7142112409. The next prime is 7142112457.

7142112417 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7142112417 - 23 = 7142112409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7142112457) 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 15 ways as a sum of consecutive naturals, for example, 167334 + ... + 205632.

It is an arithmetic number, because the mean of its divisors is an integer number (649414800).

Almost surely, 27142112417 is an apocalyptic number.

It is an amenable number.

7142112417 is a deficient number, since it is larger than the sum of its proper divisors (3248524383).

7142112417 is a wasteful number, since it uses less digits than its factorization.

7142112417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43964.

The product of its digits is 3136, while the sum is 30.

The square root of 7142112417 is about 84511.0195004178. The cubic root of 7142112417 is about 1925.7898522451.

It can be divided in two parts, 71421 and 12417, that added together give a palindrome (83838).

The spelling of 7142112417 in words is "seven billion, one hundred forty-two million, one hundred twelve thousand, four hundred seventeen".

Divisors: 1 3 11 33 5651 16953 38299 62161 114897 186483 421289 1263867 216427649 649282947 2380704139 7142112417