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12344123424 = 253891444771
BaseRepresentation
bin10110111111100010…
…00110000000100000
31011212021122102221110
423133301012000200
5200240043422144
65400521223320
7614620214013
oct133761060040
934767572843
1012344123424
115264a326a6
122486031b40
131219540c59
148515d937a
154c3a980b9
hex2dfc46020

12344123424 has 48 divisors (see below), whose sum is σ = 32767428960. Its totient is φ = 4068472320.

The previous prime is 12344123423. The next prime is 12344123447. The reversal of 12344123424 is 42432144321.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12344123391 and 12344123400.

It is not an unprimeable number, because it can be changed into a prime (12344123423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 713842 + ... + 730929.

It is an arithmetic number, because the mean of its divisors is an integer number (682654770).

Almost surely, 212344123424 is an apocalyptic number.

It is an amenable number.

12344123424 is an abundant number, since it is smaller than the sum of its proper divisors (20423305536).

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

12344123424 is a wasteful number, since it uses less digits than its factorization.

12344123424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444873 (or 1444865 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 12344123424 its reverse (42432144321), we get a palindrome (54776267745).

The spelling of 12344123424 in words is "twelve billion, three hundred forty-four million, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 8544 1444771 2889542 4334313 5779084 8668626 11558168 17337252 23116336 34674504 46232672 69349008 128584619 138698016 257169238 385753857 514338476 771507714 1028676952 1543015428 2057353904 3086030856 4114707808 6172061712 12344123424