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14241109992 = 2335475991811
BaseRepresentation
bin11010100001101011…
…00001011111101000
31100202111011100022020
431100311201133220
5213131211004432
610313044224440
71012623303054
oct152065413750
940674140266
1014241109992
11604880a79a
12291539b120
13145c55b005
1499151ac64
155853ad22c
hex350d617e8

14241109992 has 64 divisors (see below), whose sum is σ = 35747136000. Its totient is φ = 4727835840.

The previous prime is 14241109979. The next prime is 14241110021. The reversal of 14241109992 is 29990114241.

14241109992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7862767 + ... + 7864577.

It is an arithmetic number, because the mean of its divisors is an integer number (558549000).

Almost surely, 214241109992 is an apocalyptic number.

14241109992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14241109992 is an abundant number, since it is smaller than the sum of its proper divisors (21506026008).

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

14241109992 is a wasteful number, since it uses less digits than its factorization.

14241109992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 14241109992 in words is "fourteen billion, two hundred forty-one million, one hundred nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 547 599 1094 1198 1641 1797 1811 2188 2396 3282 3594 3622 4376 4792 5433 6564 7188 7244 10866 13128 14376 14488 21732 43464 327653 655306 982959 990617 1084789 1310612 1965918 1981234 2169578 2621224 2971851 3254367 3931836 3962468 4339156 5943702 6508734 7863672 7924936 8678312 11887404 13017468 23774808 26034936 593379583 1186759166 1780138749 2373518332 3560277498 4747036664 7120554996 14241109992