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12441414140 = 2253120066797
BaseRepresentation
bin10111001011001000…
…01110100111111100
31012010001201022201022
423211210032213330
5200440000223030
65414314403312
7620211163301
oct134544164774
935101638638
1012441414140
115304943651
1224b2730538
13123374651c
148604c30a8
154cc3b4de5
hex2e590e9fc

12441414140 has 24 divisors (see below), whose sum is σ = 26969776512. Its totient is φ = 4816031040.

The previous prime is 12441414103. The next prime is 12441414143. The reversal of 12441414140 is 4141414421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12441414143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10032779 + ... + 10034018.

It is an arithmetic number, because the mean of its divisors is an integer number (1123740688).

Almost surely, 212441414140 is an apocalyptic number.

12441414140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12441414140 is an abundant number, since it is smaller than the sum of its proper divisors (14528362372).

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

12441414140 is a wasteful number, since it uses less digits than its factorization.

12441414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20066837 (or 20066835 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 12441414140 its reverse (4141414421), we get a palindrome (16582828561).

The spelling of 12441414140 in words is "twelve billion, four hundred forty-one million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 20066797 40133594 80267188 100333985 200667970 401335940 622070707 1244141414 2488282828 3110353535 6220707070 12441414140