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14124200145 = 3511197016427
BaseRepresentation
bin11010010011101111…
…00011000011010001
31100110100011201010220
431021313203003101
5212411243401040
610253310343253
71010003502036
oct151167430321
940410151126
1014124200145
115a98819690
1228a21bab29
1314412767a3
1497dba738d
15579eb82d0
hex349de30d1

14124200145 has 64 divisors (see below), whose sum is σ = 25991746560. Its totient is φ = 6477408000.

The previous prime is 14124200071. The next prime is 14124200147. The reversal of 14124200145 is 54100242141.

14124200145 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 14124200145 - 211 = 14124198097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14124200147) 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 63 ways as a sum of consecutive naturals, for example, 2194422 + ... + 2200848.

It is an arithmetic number, because the mean of its divisors is an integer number (406121040).

Almost surely, 214124200145 is an apocalyptic number.

14124200145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14124200145 is a deficient number, since it is larger than the sum of its proper divisors (11867546415).

14124200145 is a wasteful number, since it uses less digits than its factorization.

14124200145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7166.

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 14124200145 its reverse (54100242141), we get a palindrome (68224442286).

The spelling of 14124200145 in words is "fourteen billion, one hundred twenty-four million, two hundred thousand, one hundred forty-five".

Divisors: 1 3 5 11 15 19 33 55 57 95 165 209 285 627 701 1045 2103 3135 3505 6427 7711 10515 13319 19281 23133 32135 38555 39957 66595 70697 96405 115665 122113 146509 199785 212091 353485 366339 439527 610565 732545 1060455 1343243 1831695 2197635 4029729 4505327 6716215 13515981 20148645 22526635 49558597 67579905 85601213 148675791 247792985 256803639 428006065 743378955 941613343 1284018195 2824840029 4708066715 14124200145