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14300412468 = 22331411039103
BaseRepresentation
bin11010101000101111…
…01111101000110100
31100220121202020000020
431110113233220310
5213241401144333
610323003245140
71014243333426
oct152427575064
940817666006
1014300412468
116079234601
1229312197b0
13146b922634
14999356816
1558a6c43b3
hex3545efa34

14300412468 has 96 divisors (see below), whose sum is σ = 35630579712. Its totient is φ = 4456339200.

The previous prime is 14300412463. The next prime is 14300412473. The reversal of 14300412468 is 86421400341.

It is an interprime number because it is at equal distance from previous prime (14300412463) and next prime (14300412473).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14300412463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1566405 + ... + 1575507.

It is an arithmetic number, because the mean of its divisors is an integer number (371151872).

Almost surely, 214300412468 is an apocalyptic number.

It is an amenable number.

14300412468 is an abundant number, since it is smaller than the sum of its proper divisors (21330167244).

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

14300412468 is a wasteful number, since it uses less digits than its factorization.

14300412468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9285 (or 9283 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 14300412468 in words is "fourteen billion, three hundred million, four hundred twelve thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 31 41 62 82 93 103 123 124 164 186 206 246 309 372 412 492 618 1236 1271 2542 3193 3813 4223 5084 6386 7626 8446 9103 9579 12669 12772 15252 16892 18206 19158 25338 27309 36412 38316 50676 54618 109236 130913 261826 282193 373223 392739 523652 564386 746446 785478 846579 937609 1119669 1128772 1492892 1570956 1693158 1875218 2239338 2812827 3386316 3750436 4478676 5625654 11251308 11569913 23139826 29065879 34709739 38441969 46279652 58131758 69419478 76883938 87197637 115325907 116263516 138838956 153767876 174395274 230651814 348790548 461303628 1191701039 2383402078 3575103117 4766804156 7150206234 14300412468