Search a number
-
+
14942436101 = 419733711149
BaseRepresentation
bin11011110101010001…
…10111101100000101
31102120100211101212022
431322220313230011
5221100230423401
610510420132525
71036200416435
oct157250675405
942510741768
1014942436101
11637868544a
122a90237145
131541942b88
14a1a71c2c5
155c6c4371b
hex37aa37b05

14942436101 has 16 divisors (see below), whose sum is σ = 15511969200. Its totient is φ = 14383595520.

The previous prime is 14942436097. The next prime is 14942436169. The reversal of 14942436101 is 10163424941.

It can be written as a sum of positive squares in 8 ways, for example, as 3790864900 + 11151571201 = 61570^2 + 105601^2 .

It is a cyclic number.

It is not a de Polignac number, because 14942436101 - 22 = 14942436097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14942436001) 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, 1334675 + ... + 1345823.

It is an arithmetic number, because the mean of its divisors is an integer number (969498075).

Almost surely, 214942436101 is an apocalyptic number.

It is an amenable number.

14942436101 is a deficient number, since it is larger than the sum of its proper divisors (569533099).

14942436101 is a wasteful number, since it uses less digits than its factorization.

14942436101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11624.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 14942436101 in words is "fourteen billion, nine hundred forty-two million, four hundred thirty-six thousand, one hundred one".

Divisors: 1 41 97 337 3977 11149 13817 32689 457109 1081453 1340249 3757213 44339573 154045733 364449661 14942436101