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14314121145 = 34535343509
BaseRepresentation
bin11010101010011000…
…00010011110111001
31100221120112200210000
431111030002132321
5213303403334040
610324213143213
71014501010422
oct152514023671
940846480700
1014314121145
116085a48095
12293592ab09
13147171228c
1499b0c4649
1558b9d1130
hex3553027b9

14314121145 has 20 divisors (see below), whose sum is σ = 25659388260. Its totient is φ = 7634197728.

The previous prime is 14314121137. The next prime is 14314121147. The reversal of 14314121145 is 54112141341.

It is a happy number.

14314121145 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 2 ways, for example, as 11408803344 + 2905317801 = 106812^2 + 53901^2 .

It is not a de Polignac number, because 14314121145 - 23 = 14314121137 is a prime.

It is a super-2 number, since 2×143141211452 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14314121147) 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 19 ways as a sum of consecutive naturals, for example, 17671350 + ... + 17672159.

It is an arithmetic number, because the mean of its divisors is an integer number (1282969413).

Almost surely, 214314121145 is an apocalyptic number.

14314121145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14314121145 is a deficient number, since it is larger than the sum of its proper divisors (11345267115).

14314121145 is an equidigital number, since it uses as much as digits as its factorization.

14314121145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35343526 (or 35343517 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

Adding to 14314121145 its reverse (54112141341), we get a palindrome (68426262486).

The spelling of 14314121145 in words is "fourteen billion, three hundred fourteen million, one hundred twenty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 35343509 106030527 176717545 318091581 530152635 954274743 1590457905 2862824229 4771373715 14314121145