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240402313431 = 32723165909119
BaseRepresentation
bin1101111111100100011…
…0000011000011010111
3211222112001100212021100
43133321012003003113
512414320443012211
6302234515521143
723240251643160
oct3377106030327
9758461325240
10240402313431
1192a54925285
123a7122b91b3
1319892843007
14b8c7c96767
1563c042a156
hex37f91830d7

240402313431 has 24 divisors (see below), whose sum is σ = 414109163520. Its totient is φ = 131400021456.

The previous prime is 240402313423. The next prime is 240402313439. The reversal of 240402313431 is 134313204042.

240402313431 is a `hidden beast` number, since 240 + 402 + 3 + 13 + 4 + 3 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (240402313423) and next prime (240402313439).

It is not a de Polignac number, because 240402313431 - 23 = 240402313423 is a prime.

It is a super-2 number, since 2×2404023134312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240402313395 and 240402313404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240402313439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82953111 + ... + 82956008.

It is an arithmetic number, because the mean of its divisors is an integer number (17254548480).

Almost surely, 2240402313431 is an apocalyptic number.

240402313431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

240402313431 is a deficient number, since it is larger than the sum of its proper divisors (173706850089).

240402313431 is a wasteful number, since it uses less digits than its factorization.

240402313431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165909155 (or 165909152 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 240402313431 its reverse (134313204042), we get a palindrome (374715517473).

The spelling of 240402313431 in words is "two hundred forty billion, four hundred two million, three hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 165909119 497727357 1161363833 1493182071 3484091499 3815909737 10452274497 11447729211 26711368159 34343187633 80134104477 240402313431