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12423445000 = 23542484689
BaseRepresentation
bin10111001000111111…
…01011101000001000
31012001210220101200121
423210133223220020
5200420400220000
65412433313024
7616602353161
oct134437535010
935053811617
1012423445000
1152a579011a
1224a8705774
13122cac45b5
1485bd66768
154caa15b1a
hex2e47eba08

12423445000 has 40 divisors (see below), whose sum is σ = 29108143350. Its totient is φ = 4969376000.

The previous prime is 12423444997. The next prime is 12423445007. The reversal of 12423445000 is 54432421.

It is a happy number.

12423445000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 394181316 + 12029263684 = 19854^2 + 109678^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12423445007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1237345 + ... + 1247344.

Almost surely, 212423445000 is an apocalyptic number.

12423445000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12423445000 is an abundant number, since it is smaller than the sum of its proper divisors (16684698350).

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

12423445000 is an equidigital number, since it uses as much as digits as its factorization.

12423445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484715 (or 2484696 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 12423445000 its reverse (54432421), we get a palindrome (12477877421).

The spelling of 12423445000 in words is "twelve billion, four hundred twenty-three million, four hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 2484689 4969378 9938756 12423445 19877512 24846890 49693780 62117225 99387560 124234450 248468900 310586125 496937800 621172250 1242344500 1552930625 2484689000 3105861250 6211722500 12423445000