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14143134461652 = 223476235949939
BaseRepresentation
bin1100110111001111010010…
…0000010110111011010100
31212002001220100122222120000
43031303310200112323110
53323210114410233102
650025133303211300
72656544025245040
oct315636440267324
955061810588500
1014143134461652
1145630847691a9
12170504b146b30
137b78cc018981
1436c7620a5020
15197d66dc401c
hexcdcf4816ed4

14143134461652 has 60 divisors (see below), whose sum is σ = 42254796793440. Its totient is φ = 4040895559824.

The previous prime is 14143134461597. The next prime is 14143134461653. The reversal of 14143134461652 is 25616443134141.

14143134461652 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 3 + 134 + 461 + 6 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14143134461598 and 14143134461607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14143134461653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3117972702 + ... + 3117977237.

It is an arithmetic number, because the mean of its divisors is an integer number (704246613224).

Almost surely, 214143134461652 is an apocalyptic number.

14143134461652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14143134461652 is an abundant number, since it is smaller than the sum of its proper divisors (28111662331788).

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

14143134461652 is a wasteful number, since it uses less digits than its factorization.

14143134461652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6235949962 (or 6235949951 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

Adding to 14143134461652 its reverse (25616443134141), we get a palindrome (39759577595793).

The spelling of 14143134461652 in words is "fourteen trillion, one hundred forty-three billion, one hundred thirty-four million, four hundred sixty-one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 6235949939 12471899878 18707849817 24943799756 37415699634 43651649573 56123549451 74831399268 87303299146 112247098902 130954948719 168370648353 174606598292 224494197804 261909897438 336741296706 392864846157 505111945059 523819794876 673482593412 785729692314 1010223890118 1178594538471 1571459384628 2020447780236 2357189076942 3535783615413 4714378153884 7071567230826 14143134461652