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14405414345 = 5713115120807
BaseRepresentation
bin11010110101010000…
…10010110111001001
31101011221022212111122
431122220102313021
5214000241224340
610341234005025
71016660000360
oct153250226711
941157285448
1014405414345
116122532013
122960416775
1314875c7a1a
149a928a7d7
15594a15db5
hex35aa12dc9

14405414345 has 32 divisors (see below), whose sum is σ = 20039602176. Its totient is φ = 9737208000.

The previous prime is 14405414341. The next prime is 14405414437. The reversal of 14405414345 is 54341450441.

14405414345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14405414345 - 22 = 14405414341 is a prime.

It is a super-2 number, since 2×144054143452 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14405414341) 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, 681932 + ... + 702738.

It is an arithmetic number, because the mean of its divisors is an integer number (626237568).

Almost surely, 214405414345 is an apocalyptic number.

It is an amenable number.

14405414345 is a deficient number, since it is larger than the sum of its proper divisors (5634187831).

14405414345 is a wasteful number, since it uses less digits than its factorization.

14405414345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21101.

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 14405414345 its reverse (54341450441), we get a palindrome (68746864786).

The spelling of 14405414345 in words is "fourteen billion, four hundred five million, four hundred fourteen thousand, three hundred forty-five".

Divisors: 1 5 7 35 131 151 655 755 917 1057 4585 5285 19781 20807 98905 104035 138467 145649 692335 728245 2725717 3141857 13628585 15709285 19080019 21992999 95400095 109964995 411583267 2057916335 2881082869 14405414345