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14334161460 = 2235457522763
BaseRepresentation
bin11010101100110000…
…11111001000110100
31100222222020211220220
431112120133020310
5213324021131320
610330210454340
71015133235123
oct152630371064
940888224826
1014334161460
116096295733
1229405943b0
13147590ab58
1499da1daba
1558d63de40
hex35661f234

14334161460 has 48 divisors (see below), whose sum is σ = 40223553216. Its totient is φ = 3814071552.

The previous prime is 14334161449. The next prime is 14334161461. The reversal of 14334161460 is 6416143341.

14334161460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×143341614602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14334161461) 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 15 ways as a sum of consecutive naturals, for example, 233962 + ... + 288801.

It is an arithmetic number, because the mean of its divisors is an integer number (837990692).

Almost surely, 214334161460 is an apocalyptic number.

14334161460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14334161460 is an abundant number, since it is smaller than the sum of its proper divisors (25889391756).

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

14334161460 is a wasteful number, since it uses less digits than its factorization.

14334161460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523232 (or 523230 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 14334161460 in words is "fourteen billion, three hundred thirty-four million, one hundred sixty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 457 914 1371 1828 2285 2742 4570 5484 6855 9140 13710 27420 522763 1045526 1568289 2091052 2613815 3136578 5227630 6273156 7841445 10455260 15682890 31365780 238902691 477805382 716708073 955610764 1194513455 1433416146 2389026910 2866832292 3583540365 4778053820 7167080730 14334161460