Search a number
-
+
414142340103 = 3337414556897
BaseRepresentation
bin1100000011011001100…
…11101001110000000111
31110120222021212200111000
412001230303221300013
523241130414340403
6514130535344343
741630555544162
oct6015463516007
91416867780430
10414142340103
1114a700610888
126831b5220b3
133009059671b
141608a52cad9
15ab8d2967a3
hex606cce9c07

414142340103 has 16 divisors (see below), whose sum is σ = 630126484960. Its totient is φ = 268632868608.

The previous prime is 414142340099. The next prime is 414142340147. The reversal of 414142340103 is 301043241414.

414142340103 is a `hidden beast` number, since 4 + 1 + 414 + 234 + 0 + 10 + 3 = 666.

It is not a de Polignac number, because 414142340103 - 22 = 414142340099 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414142340303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207277450 + ... + 207279447.

It is an arithmetic number, because the mean of its divisors is an integer number (39382905310).

Almost surely, 2414142340103 is an apocalyptic number.

414142340103 is a deficient number, since it is larger than the sum of its proper divisors (215984144857).

414142340103 is a wasteful number, since it uses less digits than its factorization.

414142340103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414556943 (or 414556937 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 414142340103 its reverse (301043241414), we get a palindrome (715185581517).

The spelling of 414142340103 in words is "four hundred fourteen billion, one hundred forty-two million, three hundred forty thousand, one hundred three".

Divisors: 1 3 9 27 37 111 333 999 414556897 1243670691 3731012073 11193036219 15338605189 46015815567 138047446701 414142340103