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2140404231 = 37237974057
BaseRepresentation
bin111111110010011…
…1111101000000111
312112011112210121210
41333210333220013
513340420413411
6552220142503
7104020064400
oct17744775007
95464483553
102140404231
119a9225419
124b8997a33
132815966a4
141643a69a7
15c7d98ca6
hex7f93fa07

2140404231 has 48 divisors (see below), whose sum is σ = 3445534176. Its totient is φ = 1177473024.

The previous prime is 2140404229. The next prime is 2140404239. The reversal of 2140404231 is 1324040412.

It is not a de Polignac number, because 2140404231 - 21 = 2140404229 is a prime.

It is a super-2 number, since 2×21404042312 = 9162660544165402722, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2140404198 and 2140404207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140404239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525555 + ... + 529611.

It is an arithmetic number, because the mean of its divisors is an integer number (71781962).

Almost surely, 22140404231 is an apocalyptic number.

2140404231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2140404231 is a deficient number, since it is larger than the sum of its proper divisors (1305129945).

2140404231 is a wasteful number, since it uses less digits than its factorization.

2140404231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4208 (or 4201 counting only the distinct ones).

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

The square root of 2140404231 is about 46264.5029261096. The cubic root of 2140404231 is about 1288.7398769683.

Adding to 2140404231 its reverse (1324040412), we get a palindrome (3464444643).

The spelling of 2140404231 in words is "two billion, one hundred forty million, four hundred four thousand, two hundred thirty-one".

Divisors: 1 3 7 21 37 49 97 111 147 259 291 679 777 1813 2037 3589 4057 4753 5439 10767 12171 14259 25123 28399 75369 85197 150109 175861 198793 393529 450327 527583 596379 1050763 1180587 2754703 3152289 7355341 8264109 14560573 19282921 22066023 43681719 57848763 101924011 305772033 713468077 2140404231