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2420144013 = 371009114217
BaseRepresentation
bin1001000001000000…
…0111011110001101
320020122221001110110
42100100013132031
514424024102023
61040052030233
7113654612310
oct22020073615
96218831413
102420144013
111032121021
12576602379
132c751c7a1
1418d5c4977
15e2704a93
hex9040778d

2420144013 has 16 divisors (see below), whose sum is σ = 3691525760. Its totient is φ = 1381556736.

The previous prime is 2420144009. The next prime is 2420144033. The reversal of 2420144013 is 3104410242.

It is not a de Polignac number, because 2420144013 - 22 = 2420144009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420144033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35920 + ... + 78297.

It is an arithmetic number, because the mean of its divisors is an integer number (230720360).

Almost surely, 22420144013 is an apocalyptic number.

It is an amenable number.

2420144013 is a deficient number, since it is larger than the sum of its proper divisors (1271381747).

2420144013 is a wasteful number, since it uses less digits than its factorization.

2420144013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115236.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2420144013 is about 49194.9592234814. The cubic root of 2420144013 is about 1342.6013203737.

Adding to 2420144013 its reverse (3104410242), we get a palindrome (5524554255).

The spelling of 2420144013 in words is "two billion, four hundred twenty million, one hundred forty-four thousand, thirteen".

Divisors: 1 3 7 21 1009 3027 7063 21189 114217 342651 799519 2398557 115244953 345734859 806714671 2420144013