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14300423120 = 2451710515017
BaseRepresentation
bin11010101000101111…
…10010001111010000
31100220121202202121202
431110113302033100
5213241402014440
610323003410332
71014243406454
oct152427621720
940817682552
1014300423120
116079241605
1229312239a8
13146b927439
1499935a664
1558a6c7615
hex3545f23d0

14300423120 has 40 divisors (see below), whose sum is σ = 35204280264. Its totient is φ = 5383688192.

The previous prime is 14300423107. The next prime is 14300423129. The reversal of 14300423120 is 2132400341.

14300423120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 894488464 + 13405934656 = 29908^2 + 115784^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×143004231202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14300423092 and 14300423101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14300423129) 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 7 ways as a sum of consecutive naturals, for example, 5256149 + ... + 5258868.

Almost surely, 214300423120 is an apocalyptic number.

14300423120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14300423120 is an abundant number, since it is smaller than the sum of its proper divisors (20903857144).

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

14300423120 is a wasteful number, since it uses less digits than its factorization.

14300423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10515047 (or 10515041 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14300423120 its reverse (2132400341), we get a palindrome (16432823461).

The spelling of 14300423120 in words is "fourteen billion, three hundred million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 10515017 21030034 42060068 52575085 84120136 105150170 168240272 178755289 210300340 357510578 420600680 715021156 841201360 893776445 1430042312 1787552890 2860084624 3575105780 7150211560 14300423120