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14301131334 = 237924136847
BaseRepresentation
bin11010101000110100…
…11111001001000110
31100220200002202002220
431110122133021012
5213242042200314
610323030513210
71014252416310
oct152432371106
940820082086
1014301131334
116079685706
122931505806
13146bb148b9
149994a27b0
1558a7b73a9
hex35469f246

14301131334 has 32 divisors (see below), whose sum is σ = 32692724736. Its totient is φ = 4085484480.

The previous prime is 14301131297. The next prime is 14301131359. The reversal of 14301131334 is 43313110341.

14301131334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 369699 + ... + 406545.

It is an arithmetic number, because the mean of its divisors is an integer number (1021647648).

Almost surely, 214301131334 is an apocalyptic number.

14301131334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14301131334 is an abundant number, since it is smaller than the sum of its proper divisors (18391593402).

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

14301131334 is a wasteful number, since it uses less digits than its factorization.

14301131334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46100.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 14301131334 its reverse (43313110341), we get a palindrome (57614241675).

It can be divided in two parts, 143011 and 31334, that added together give a triangular number (174345 = T590).

The spelling of 14301131334 in words is "fourteen billion, three hundred one million, one hundred thirty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 9241 18482 27723 36847 55446 64687 73694 110541 129374 194061 221082 257929 388122 515858 773787 1547574 340503127 681006254 1021509381 2043018762 2383521889 4767043778 7150565667 14301131334