Search a number
-
+
14145105337 = 11329366463
BaseRepresentation
bin11010010110001110…
…10010110110111001
31100111210111210200021
431023013102312321
5212432121332322
610255334410441
71010346261106
oct151307226671
940453453607
1014145105337
115aa95a8000
1228a9200a21
1314456b5c1c
14982889aad
1557bc474c7
hex34b1d2db9

14145105337 has 16 divisors (see below), whose sum is σ = 16095098880. Its totient is φ = 12415732560.

The previous prime is 14145105319. The next prime is 14145105341. The reversal of 14145105337 is 73350154141.

It is not a de Polignac number, because 14145105337 - 215 = 14145072569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14145105347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144633 + ... + 221830.

It is an arithmetic number, because the mean of its divisors is an integer number (1005943680).

Almost surely, 214145105337 is an apocalyptic number.

It is an amenable number.

14145105337 is a deficient number, since it is larger than the sum of its proper divisors (1949993543).

14145105337 is an equidigital number, since it uses as much as digits as its factorization.

14145105337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366525 (or 366503 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

Adding to 14145105337 its reverse (73350154141), we get a palindrome (87495259478).

The spelling of 14145105337 in words is "fourteen billion, one hundred forty-five million, one hundred five thousand, three hundred thirty-seven".

Divisors: 1 11 29 121 319 1331 3509 38599 366463 4031093 10627427 44342023 116901697 487762253 1285918667 14145105337