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12440419824 = 243737025059
BaseRepresentation
bin10111001011000000…
…11011110111110000
31012002222211210202210
423211200123313300
5200434221413244
65414241212120
7620166552360
oct134540336760
935088753683
1012440419824
1153043245a8
1224b2331040
131233488a81
148603049a0
154cc26a4b9
hex2e581bdf0

12440419824 has 40 divisors (see below), whose sum is σ = 36728859520. Its totient is φ = 3554405568.

The previous prime is 12440419819. The next prime is 12440419829. The reversal of 12440419824 is 42891404421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12440419819) and next prime (12440419829).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12440419829) 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, 18512194 + ... + 18512865.

It is an arithmetic number, because the mean of its divisors is an integer number (918221488).

Almost surely, 212440419824 is an apocalyptic number.

12440419824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12440419824 is an abundant number, since it is smaller than the sum of its proper divisors (24288439696).

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

12440419824 is a wasteful number, since it uses less digits than its factorization.

12440419824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37025077 (or 37025071 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 12440419824 in words is "twelve billion, four hundred forty million, four hundred nineteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 37025059 74050118 111075177 148100236 222150354 259175413 296200472 444300708 518350826 592400944 777526239 888601416 1036701652 1555052478 1777202832 2073403304 3110104956 4146806608 6220209912 12440419824