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14023114020 = 22325174582717
BaseRepresentation
bin11010000111101011…
…11011110100100100
31100012021222000001100
431003311323310210
5212204404122040
610235300000100
71004335334226
oct150365736444
940167860040
1014023114020
115a46756133
122874390030
131426342806
149705b2416
1557119bb30
hex343d7bd24

14023114020 has 72 divisors (see below), whose sum is σ = 45038952504. Its totient is φ = 3519525888.

The previous prime is 14023113967. The next prime is 14023114043. The reversal of 14023114020 is 2041132041.

It can be written as a sum of positive squares in 4 ways, for example, as 7524174564 + 6498939456 = 86742^2 + 80616^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14023113984 and 14023114002.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2288299 + ... + 2294418.

It is an arithmetic number, because the mean of its divisors is an integer number (625541007).

Almost surely, 214023114020 is an apocalyptic number.

14023114020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14023114020 is an abundant number, since it is smaller than the sum of its proper divisors (31015838484).

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

14023114020 is a wasteful number, since it uses less digits than its factorization.

14023114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582749 (or 4582744 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14023114020 its reverse (2041132041), we get a palindrome (16064246061).

The spelling of 14023114020 in words is "fourteen billion, twenty-three million, one hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 4582717 9165434 13748151 18330868 22913585 27496302 41244453 45827170 54992604 68740755 77906189 82488906 91654340 137481510 155812378 164977812 206222265 233718567 274963020 311624756 389530945 412444530 467437134 701155701 779061890 824889060 934874268 1168592835 1402311402 1558123780 2337185670 2804622804 3505778505 4674371340 7011557010 14023114020