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3405326537431 = 7133710110013693
BaseRepresentation
bin110001100011011101010…
…001110101001011010111
3110001112202001122210011001
4301203131101311023113
5421243102043144211
611124215125524131
7501012110656540
oct61433521651327
913045661583131
103405326537431
1110a3211065525
1246bb84b73647
131b9175859830
14bab6667b4c7
155d8a8a95ac1
hex318dd4752d7

3405326537431 has 32 divisors (see below), whose sum is σ = 4347064729728. Its totient is φ = 2595548966400.

The previous prime is 3405326537429. The next prime is 3405326537447. The reversal of 3405326537431 is 1347356235043.

It is a happy number.

It is not a de Polignac number, because 3405326537431 - 21 = 3405326537429 is a prime.

It is a super-2 number, since 2×34053265374312 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405326537411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4666780 + ... + 5346913.

It is an arithmetic number, because the mean of its divisors is an integer number (135845772804).

Almost surely, 23405326537431 is an apocalyptic number.

3405326537431 is a deficient number, since it is larger than the sum of its proper divisors (941738192297).

3405326537431 is a wasteful number, since it uses less digits than its factorization.

3405326537431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10013851.

The product of its (nonzero) digits is 2721600, while the sum is 46.

The spelling of 3405326537431 in words is "three trillion, four hundred five billion, three hundred twenty-six million, five hundred thirty-seven thousand, four hundred thirty-one".

Divisors: 1 7 13 37 91 101 259 481 707 1313 3367 3737 9191 26159 48581 340067 10013693 70095851 130178009 370506641 911246063 1011382993 2593546487 4816586333 7079680951 13147978909 33716104331 37421170741 92035852363 261948195187 486475219633 3405326537431