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12400053334 = 21719294714083
BaseRepresentation
bin10111000110001100…
…11100110001010110
31012000011212222100121
423203012130301112
5200343403201314
65410240102154
7616166466664
oct134306346126
935004788317
1012400053334
115293563669
1224a090495a
131227cc4486
14858bd7c34
154c8944d24
hex2e319cc56

12400053334 has 64 divisors (see below), whose sum is σ = 21903436800. Its totient is φ = 5223633408.

The previous prime is 12400053331. The next prime is 12400053359. The reversal of 12400053334 is 43335000421.

12400053334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124000533342 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12400053299 and 12400053308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12400053331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 873457 + ... + 887539.

It is an arithmetic number, because the mean of its divisors is an integer number (342241200).

Almost surely, 212400053334 is an apocalyptic number.

12400053334 is a deficient number, since it is larger than the sum of its proper divisors (9503383466).

12400053334 is a wasteful number, since it uses less digits than its factorization.

12400053334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14197.

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 12400053334 its reverse (43335000421), we get a palindrome (55735053755).

The spelling of 12400053334 in words is "twelve billion, four hundred million, fifty-three thousand, three hundred thirty-four".

Divisors: 1 2 17 19 29 34 38 47 58 94 323 493 551 646 799 893 986 1102 1363 1598 1786 2726 9367 14083 15181 18734 23171 25897 28166 30362 46342 51794 239411 267577 408407 440249 478822 535154 661901 816814 880498 1323802 4548809 6942919 7759733 9097618 11252317 12576119 13885838 15519466 19195129 22504634 25152238 38390258 131915461 213794023 263830922 326317193 364707451 427588046 652634386 729414902 6200026667 12400053334