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330434221324144 = 24729101734674053
BaseRepresentation
bin100101100100001110011011…
…0011000100011011101110000
31121022222012111000200002210211
41023020130312120203131300
5321302313241124333034
63130435215145233504
7126413041020422530
oct11310346630433560
91538865430602724
10330434221324144
1196317403598243
1231088448192894
131124ba75c7b212
145b8515ccb74c0
15283054454cd64
hex12c8736623770

330434221324144 has 40 divisors (see below), whose sum is σ = 756905974961760. Its totient is φ = 136731401925888.

The previous prime is 330434221324133. The next prime is 330434221324187. The reversal of 330434221324144 is 441423122434033.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 330434221324097 and 330434221324106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50867333779 + ... + 50867340274.

It is an arithmetic number, because the mean of its divisors is an integer number (18922649374044).

Almost surely, 2330434221324144 is an apocalyptic number.

It is an amenable number.

330434221324144 is an abundant number, since it is smaller than the sum of its proper divisors (426471753637616).

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

330434221324144 is a wasteful number, since it uses less digits than its factorization.

330434221324144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101734674097 (or 101734674091 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 330434221324144 its reverse (441423122434033), we get a palindrome (771857343758177).

The spelling of 330434221324144 in words is "three hundred thirty trillion, four hundred thirty-four billion, two hundred twenty-one million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3248 101734674053 203469348106 406938696212 712142718371 813877392424 1424285436742 1627754784848 2848570873484 2950305547537 5697141746968 5900611095074 11394283493936 11801222190148 20652138832759 23602444380296 41304277665518 47204888760592 82608555331036 165217110662072 330434221324144