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14232040420 = 225131391971999
BaseRepresentation
bin11010100000100101…
…11011001111100100
31100201212002120012011
431100102323033210
5213121400243140
610312122004004
71012453230133
oct152022731744
940655076164
1014232040420
116043685684
122912346604
13145a703ac0
1499023991a
155846bacea
hex3504bb3e4

14232040420 has 96 divisors (see below), whose sum is σ = 32598720000. Its totient is φ = 5188022784.

The previous prime is 14232040397. The next prime is 14232040429. The reversal of 14232040420 is 2404023241.

It is a happy number.

14232040420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14232040391 and 14232040400.

It is not an unprimeable number, because it can be changed into a prime (14232040429) 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 31 ways as a sum of consecutive naturals, for example, 7118581 + ... + 7120579.

It is an arithmetic number, because the mean of its divisors is an integer number (339570000).

Almost surely, 214232040420 is an apocalyptic number.

14232040420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14232040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16299360000).

14232040420 is an abundant number, since it is smaller than the sum of its proper divisors (18366679580).

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

14232040420 is a wasteful number, since it uses less digits than its factorization.

14232040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 14232040420 its reverse (2404023241), we get a palindrome (16636063661).

The spelling of 14232040420 in words is "fourteen billion, two hundred thirty-two million, forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 139 197 260 278 394 556 695 788 985 1390 1807 1970 1999 2561 2780 3614 3940 3998 5122 7228 7996 9035 9995 10244 12805 18070 19990 25610 25987 27383 36140 39980 51220 51974 54766 103948 109532 129935 136915 259870 273830 277861 355979 393803 519740 547660 555722 711958 787606 1111444 1389305 1423916 1575212 1779895 1969015 2778610 3559790 3612193 3938030 5119439 5557220 7119580 7224386 7876060 10238878 14448772 18060965 20477756 25597195 36121930 51194390 54738617 72243860 102388780 109477234 218954468 273693085 547386170 711602021 1094772340 1423204042 2846408084 3558010105 7116020210 14232040420