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14306042100 = 2235276812401
BaseRepresentation
bin11010101001011010…
…01110000011110100
31100221000100020102010
431110231032003310
5213244321321400
610323324044220
71014342231360
oct152455160364
940830306363
1014306042100
11608142a199
122933093670
13146cb43b8c
14999dc02a0
1558ae37450
hex354b4e0f4

14306042100 has 72 divisors (see below), whose sum is σ = 47305319488. Its totient is φ = 3269952000.

The previous prime is 14306042087. The next prime is 14306042111. The reversal of 14306042100 is 124060341.

14306042100 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 (21).

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 23 ways as a sum of consecutive naturals, for example, 3404101 + ... + 3408300.

Almost surely, 214306042100 is an apocalyptic number.

14306042100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14306042100 is an abundant number, since it is smaller than the sum of its proper divisors (32999277388).

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

14306042100 is a wasteful number, since it uses less digits than its factorization.

14306042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6812425 (or 6812418 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The spelling of 14306042100 in words is "fourteen billion, three hundred six million, forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 6812401 13624802 20437203 27249604 34062005 40874406 47686807 68124010 81748812 95373614 102186015 136248020 143060421 170310025 190747228 204372030 238434035 286120842 340620050 408744060 476868070 510930075 572241684 681240100 715302105 953736140 1021860150 1192170175 1430604210 2043720300 2384340350 2861208420 3576510525 4768680700 7153021050 14306042100