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14300260668 = 22341710923819
BaseRepresentation
bin11010101000101110…
…01010100100111100
31100220121110111210000
431110113022210330
5213241331320133
610323000114300
71014242132031
oct152427124474
940817414700
1014300260668
116079140551
122931165990
13146b89b505
14999317388
1558a694413
hex3545ca93c

14300260668 has 120 divisors (see below), whose sum is σ = 39947569200. Its totient is φ = 4445010432.

The previous prime is 14300260631. The next prime is 14300260669. The reversal of 14300260668 is 86606200341.

14300260668 is a `hidden beast` number, since 1 + 43 + 0 + 0 + 2 + 606 + 6 + 8 = 666.

14300260668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14300260669) 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 39 ways as a sum of consecutive naturals, for example, 588463 + ... + 612281.

It is an arithmetic number, because the mean of its divisors is an integer number (332896410).

Almost surely, 214300260668 is an apocalyptic number.

14300260668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14300260668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19973784600).

14300260668 is an abundant number, since it is smaller than the sum of its proper divisors (25647308532).

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

14300260668 is a wasteful number, since it uses less digits than its factorization.

14300260668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23961 (or 23950 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 14300260668 in words is "fourteen billion, three hundred million, two hundred sixty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 109 153 162 204 218 306 324 327 436 459 612 654 918 981 1308 1377 1836 1853 1962 2754 2943 3706 3924 5508 5559 5886 7412 8829 11118 11772 16677 17658 22236 23819 33354 35316 47638 50031 66708 71457 95276 100062 142914 150093 200124 214371 285828 300186 404923 428742 600372 643113 809846 857484 1214769 1286226 1619692 1929339 2429538 2572452 2596271 3644307 3858678 4859076 5192542 7288614 7717356 7788813 10385084 10932921 14577228 15577626 21865842 23366439 31155252 32798763 43731684 44136607 46732878 65597526 70099317 88273214 93465756 131195052 132409821 140198634 176546428 210297951 264819642 280397268 397229463 420595902 529639284 794458926 841191804 1191688389 1588917852 2383376778 3575065167 4766753556 7150130334 14300260668