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12432342040 = 2351935772791
BaseRepresentation
bin10111001010000011…
…00111110000011000
31012002102122102010121
423211001213300120
5200430134421130
65413352123024
7620041110106
oct134501476030
935072572117
1012432342040
1152aa807648
1224ab696474
1312318bb111
1485d200c76
154cb6c1d7a
hex2e5067c18

12432342040 has 64 divisors (see below), whose sum is σ = 28176528960. Its totient is φ = 4936826880.

The previous prime is 12432342017. The next prime is 12432342047. The reversal of 12432342040 is 4024323421.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12432341996 and 12432342014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432342047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4453045 + ... + 4455835.

It is an arithmetic number, because the mean of its divisors is an integer number (440258265).

Almost surely, 212432342040 is an apocalyptic number.

12432342040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12432342040 is an abundant number, since it is smaller than the sum of its proper divisors (15744186920).

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

12432342040 is a wasteful number, since it uses less digits than its factorization.

12432342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 12432342040 its reverse (4024323421), we get a palindrome (16456665461).

The spelling of 12432342040 in words is "twelve billion, four hundred thirty-two million, three hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 193 386 577 772 965 1154 1544 1930 2308 2791 2885 3860 4616 5582 5770 7720 11164 11540 13955 22328 23080 27910 55820 111361 111640 222722 445444 538663 556805 890888 1077326 1113610 1610407 2154652 2227220 2693315 3220814 4309304 4454440 5386630 6441628 8052035 10773260 12883256 16104070 21546520 32208140 64416280 310808551 621617102 1243234204 1554042755 2486468408 3108085510 6216171020 12432342040