Search a number
-
+
14001416514 = 23529993431
BaseRepresentation
bin11010000101000110…
…01010100101000010
31100010210010122200000
431002203022211002
5212133330312024
610233202540430
71003653035211
oct150243124502
940123118600
1014001416514
115a35486508
122869067716
1314219b6857
1496b765078
1556e312cc9
hex3428ca942

14001416514 has 48 divisors (see below), whose sum is σ = 32544832320. Its totient is φ = 4506198480.

The previous prime is 14001416503. The next prime is 14001416579. The reversal of 14001416514 is 41561410041.

14001416514 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 4 + 1 + 651 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482622 + ... + 510809.

It is an arithmetic number, because the mean of its divisors is an integer number (678017340).

Almost surely, 214001416514 is an apocalyptic number.

14001416514 is an abundant number, since it is smaller than the sum of its proper divisors (18543415806).

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

14001416514 is an equidigital number, since it uses as much as digits as its factorization.

14001416514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993477 (or 993465 counting only the distinct ones).

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

Adding to 14001416514 its reverse (41561410041), we get a palindrome (55562826555).

The spelling of 14001416514 in words is "fourteen billion, one million, four hundred sixteen thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 783 1566 2349 4698 7047 14094 993431 1986862 2980293 5960586 8940879 17881758 26822637 28809499 53645274 57618998 80467911 86428497 160935822 172856994 241403733 259285491 482807466 518570982 777856473 1555712946 2333569419 4667138838 7000708257 14001416514