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12400420041 = 321781048497
BaseRepresentation
bin10111000110001111…
…10110010011001001
31012000012120121101100
423203013312103021
5200344001420131
65410252012013
7616202555052
oct134307662311
935005517340
1012400420041
115293794129
1224a0a61009
1312280c2369
14858c91729
154c89b87e6
hex2e31f64c9

12400420041 has 12 divisors (see below), whose sum is σ = 18965348532. Its totient is φ = 7780655616.

The previous prime is 12400420009. The next prime is 12400420057. The reversal of 12400420041 is 14002400421.

12400420041 is a `hidden beast` number, since 1 + 240 + 0 + 420 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8299938816 + 4100481225 = 91104^2 + 64035^2 .

It is not a de Polignac number, because 12400420041 - 25 = 12400420009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12400419996 and 12400420023.

It is not an unprimeable number, because it can be changed into a prime (12400420741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40524096 + ... + 40524401.

It is an arithmetic number, because the mean of its divisors is an integer number (1580445711).

Almost surely, 212400420041 is an apocalyptic number.

It is an amenable number.

12400420041 is a deficient number, since it is larger than the sum of its proper divisors (6564928491).

12400420041 is a wasteful number, since it uses less digits than its factorization.

12400420041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81048520 (or 81048517 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12400420041 its reverse (14002400421), we get a palindrome (26402820462).

The spelling of 12400420041 in words is "twelve billion, four hundred million, four hundred twenty thousand, forty-one".

Divisors: 1 3 9 17 51 153 81048497 243145491 729436473 1377824449 4133473347 12400420041