Search a number
-
+
2414003131 = 139197199443
BaseRepresentation
bin1000111111100010…
…1100001110111011
320020020101001202101
42033320230032323
514420441100011
61035312244231
7113551455001
oct21770541673
96206331671
102414003131
111029707311
12574540677
132c617c627
1418c866a71
15e1de02c1
hex8fe2c3bb

2414003131 has 16 divisors (see below), whose sum is σ = 2461536000. Its totient is φ = 2367132768.

The previous prime is 2414003117. The next prime is 2414003149. The reversal of 2414003131 is 1313004142.

It is a cyclic number.

It is not a de Polignac number, because 2414003131 - 219 = 2413478843 is a prime.

It is a super-2 number, since 2×24140031312 = 11654822232955606322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2414003099 and 2414003108.

It is not an unprimeable number, because it can be changed into a prime (2414003161) 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, 5448996 + ... + 5449438.

It is an arithmetic number, because the mean of its divisors is an integer number (153846000).

Almost surely, 22414003131 is an apocalyptic number.

2414003131 is a deficient number, since it is larger than the sum of its proper divisors (47532869).

2414003131 is a wasteful number, since it uses less digits than its factorization.

2414003131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2414003131 is about 49132.5058489795. The cubic root of 2414003131 is about 1341.4647847642.

Adding to 2414003131 its reverse (1313004142), we get a palindrome (3727007273).

The spelling of 2414003131 in words is "two billion, four hundred fourteen million, three thousand, one hundred thirty-one".

Divisors: 1 139 197 199 443 27383 27661 39203 61577 87271 88157 5449217 12130669 12253823 17366929 2414003131