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14024121040 = 245997175829
BaseRepresentation
bin11010000111110011…
…10001101011010000
31100012100212011102101
431003321301223100
5212210133333130
610235333330144
71004350030156
oct150371615320
940170764371
1014024121040
115a47283786
122874796954
131426605c97
149707953d6
155712ea1ca
hex343e71ad0

14024121040 has 40 divisors (see below), whose sum is σ = 32638971240. Its totient is φ = 5603990016.

The previous prime is 14024121037. The next prime is 14024121047. The reversal of 14024121040 is 4012142041.

14024121040 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 256384144 + 13767736896 = 16012^2 + 117336^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 14024120999 and 14024121017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14024121047) 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, 8155 + ... + 167674.

It is an arithmetic number, because the mean of its divisors is an integer number (815974281).

Almost surely, 214024121040 is an apocalyptic number.

14024121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14024121040 is an abundant number, since it is smaller than the sum of its proper divisors (18614850200).

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

14024121040 is a wasteful number, since it uses less digits than its factorization.

14024121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176839 (or 176833 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 14024121040 its reverse (4012142041), we get a palindrome (18036263081).

The spelling of 14024121040 in words is "fourteen billion, twenty-four million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 997 1994 3988 4985 7976 9970 15952 19940 39880 79760 175829 351658 703316 879145 1406632 1758290 2813264 3516580 7033160 14066320 175301513 350603026 701206052 876507565 1402412104 1753015130 2804824208 3506030260 7012060520 14024121040