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314102414141 = 2927493940021
BaseRepresentation
bin1001001001000011111…
…01100111101100111101
31010000202100002220002222
410210201331213230331
520121240204223031
6400144024455125
731456515316355
oct4444175475475
91100670086088
10314102414141
1111123469581a
1250a6031a4a5
1323809718069
14112ba077b65
1582857c1e7b
hex4921f67b3d

314102414141 has 8 divisors (see below), whose sum is σ = 325051815000. Its totient is φ = 303160898880.

The previous prime is 314102414113. The next prime is 314102414147. The reversal of 314102414141 is 141414201413.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 597606916 + 313504807225 = 24446^2 + 559915^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 314102414141 - 214 = 314102397757 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 314102414141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314102414147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1890290 + ... + 2049731.

It is an arithmetic number, because the mean of its divisors is an integer number (40631476875).

Almost surely, 2314102414141 is an apocalyptic number.

It is an amenable number.

314102414141 is a deficient number, since it is larger than the sum of its proper divisors (10949400859).

314102414141 is a wasteful number, since it uses less digits than its factorization.

314102414141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942799.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 314102414141 its reverse (141414201413), we get a palindrome (455516615554).

The spelling of 314102414141 in words is "three hundred fourteen billion, one hundred two million, four hundred fourteen thousand, one hundred forty-one".

Divisors: 1 29 2749 79721 3940021 114260609 10831117729 314102414141