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12413223231456 = 253558123168681
BaseRepresentation
bin1011010010100010110111…
…0000101101111111100000
31121221200200212111020020110
42310220231300231333200
53111334240121401311
642222320034011320
72420553146353515
oct264505560557740
947850625436213
1012413223231456
113a564669a1763
121485923416b40
136c073c72c128
1430cb3601930c
15167d6a6638a6
hexb4a2dc2dfe0

12413223231456 has 48 divisors (see below), whose sum is σ = 32590550896848. Its totient is φ = 4136999500800.

The previous prime is 12413223231421. The next prime is 12413223231457. The reversal of 12413223231456 is 65413232231421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×124132232314562 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12413223231457) 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 7 ways as a sum of consecutive naturals, for example, 11048565 + ... + 12120116.

It is an arithmetic number, because the mean of its divisors is an integer number (678969810351).

Almost surely, 212413223231456 is an apocalyptic number.

12413223231456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12413223231456 is an abundant number, since it is smaller than the sum of its proper divisors (20177327665392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12413223231456 is a wasteful number, since it uses less digits than its factorization.

12413223231456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23174275 (or 23174267 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

Adding to 12413223231456 its reverse (65413232231421), we get a palindrome (77826455462877).

The spelling of 12413223231456 in words is "twelve trillion, four hundred thirteen billion, two hundred twenty-three million, two hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5581 11162 16743 22324 33486 44648 66972 89296 133944 178592 267888 535776 23168681 46337362 69506043 92674724 139012086 185349448 278024172 370698896 556048344 741397792 1112096688 2224193376 129304408661 258608817322 387913225983 517217634644 775826451966 1034435269288 1551652903932 2068870538576 3103305807864 4137741077152 6206611615728 12413223231456