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14142020424 = 2337405720749
BaseRepresentation
bin11010010101110111…
…00001101101001000
31100111120201001222020
431022323201231020
5212430324123144
610255144324440
71010311122150
oct151273415510
940446631866
1014142020424
115aa7890294
1228a8173720
131444b75a2c
149822c5760
1557b838419
hex34aee1b48

14142020424 has 64 divisors (see below), whose sum is σ = 40417680000. Its totient is φ = 4039386624.

The previous prime is 14142020423. The next prime is 14142020437. The reversal of 14142020424 is 42402024141.

14142020424 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 14142020394 and 14142020403.

It is not an unprimeable number, because it can be changed into a prime (14142020423) 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 15 ways as a sum of consecutive naturals, for example, 671202 + ... + 691950.

It is an arithmetic number, because the mean of its divisors is an integer number (631526250).

Almost surely, 214142020424 is an apocalyptic number.

14142020424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14142020424 is an abundant number, since it is smaller than the sum of its proper divisors (26275659576).

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

14142020424 is a wasteful number, since it uses less digits than its factorization.

14142020424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24822 (or 24818 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14142020424 its reverse (42402024141), we get a palindrome (56544044565).

The spelling of 14142020424 in words is "fourteen billion, one hundred forty-two million, twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 4057 8114 12171 16228 20749 24342 28399 32456 41498 48684 56798 62247 82996 85197 97368 113596 124494 145243 165992 170394 227192 248988 290486 340788 435729 497976 580972 681576 871458 1161944 1742916 3485832 84178693 168357386 252536079 336714772 505072158 589250851 673429544 1010144316 1178501702 1767752553 2020288632 2357003404 3535505106 4714006808 7071010212 14142020424