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12432411423421 = 1179569166715083
BaseRepresentation
bin1011010011101010010101…
…1101110111001010111101
31122000112020010110101012221
42310322211131313022331
53112143034311022141
642235212043325341
72422132513324243
oct264724535671275
948015203411187
1012432411423421
113a63613155350
121489599520851
136c24a9b7b382
1430da36580793
151685deec3bd1
hexb4ea57772bd

12432411423421 has 32 divisors (see below), whose sum is σ = 13767613286400. Its totient is φ = 11132094180480.

The previous prime is 12432411423379. The next prime is 12432411423427.

12432411423421 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12432411423421 - 27 = 12432411423293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432411423427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824258946 + ... + 824274028.

It is an arithmetic number, because the mean of its divisors is an integer number (430237915200).

Almost surely, 212432411423421 is an apocalyptic number.

12432411423421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12432411423421 is a deficient number, since it is larger than the sum of its proper divisors (1335201862979).

12432411423421 is a wasteful number, since it uses less digits than its factorization.

12432411423421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17409.

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 1243241 and 1423421, that added together give a palindrome (2666662).

The spelling of 12432411423421 in words is "twelve trillion, four hundred thirty-two billion, four hundred eleven million, four hundred twenty-three thousand, four hundred twenty-one".

Divisors: 1 11 79 569 869 1667 6259 15083 18337 44951 131693 165913 494461 948523 1191557 1448623 8582227 10433753 13107127 25143361 74933317 94404497 276576971 677995933 824266487 1986325519 7457955263 14306572409 21849580709 157372296499 1130219220311 12432411423421