Search a number
-
+
12435344353421 = 1110182313600157
BaseRepresentation
bin1011010011110101010001…
…0010000110100010001101
31122000210210112021122210222
42310331110102012202031
53112220041123302141
642240415054241125
72422265265655463
oct264752422064215
948023715248728
1012435344353421
113a64888776040
12148a0777b61a5
136c28566ab902
1430dc33cc8833
1516871271a14b
hexb4f5448688d

12435344353421 has 16 divisors (see below), whose sum is σ = 13716792955008. Its totient is φ = 11179328232000.

The previous prime is 12435344353403. The next prime is 12435344353441.

12435344353421 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12435344353421 - 210 = 12435344352397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12435344353441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5885726 + ... + 7714431.

It is an arithmetic number, because the mean of its divisors is an integer number (857299559688).

Almost surely, 212435344353421 is an apocalyptic number.

12435344353421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12435344353421 is a deficient number, since it is larger than the sum of its proper divisors (1281448601587).

12435344353421 is a wasteful number, since it uses less digits than its factorization.

12435344353421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13601092.

The product of its digits is 2073600, while the sum is 44.

It can be divided in two parts, 1243534 and 4353421, that added together give a palindrome (5596955).

The spelling of 12435344353421 in words is "twelve trillion, four hundred thirty-five billion, three hundred forty-four million, three hundred fifty-three thousand, four hundred twenty-one".

Divisors: 1 11 101 823 1111 9053 83123 914353 13600157 149601727 1373615857 11192929211 15109774427 123122221321 1130485850311 12435344353421