Search a number
-
+
14215295745 = 335715795813
BaseRepresentation
bin11010011110100110…
…00011001100000001
31100200200120211211000
431033103003030001
5213103103430440
610310323042213
71012161006630
oct151723031401
940620524730
1014215295745
116035189102
122908810369
1314570c0301
1498bd1b517
15582eae730
hex34f4c3301

14215295745 has 64 divisors (see below), whose sum is σ = 29066135040. Its totient is φ = 6456962304.

The previous prime is 14215295723. The next prime is 14215295761. The reversal of 14215295745 is 54759251241.

14215295745 is a `hidden beast` number, since 1 + 4 + 21 + 52 + 9 + 574 + 5 = 666.

It is not a de Polignac number, because 14215295745 - 217 = 14215164673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 14215295745.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100459 + ... + 196271.

It is an arithmetic number, because the mean of its divisors is an integer number (454158360).

Almost surely, 214215295745 is an apocalyptic number.

14215295745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14215295745 is an abundant number, since it is smaller than the sum of its proper divisors (14850839295).

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

14215295745 is a wasteful number, since it uses less digits than its factorization.

14215295745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95991 (or 95985 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 14215295745 in words is "fourteen billion, two hundred fifteen million, two hundred ninety-five thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 157 189 315 471 785 945 1099 1413 2355 3297 4239 5495 7065 9891 16485 21195 29673 49455 95813 148365 287439 479065 670691 862317 1437195 2012073 2586951 3353455 4311585 6036219 10060365 12934755 15042641 18108657 30181095 45127923 75213205 90543285 105298487 135383769 225639615 315895461 406151307 526492435 676918845 947686383 1579477305 2030756535 2843059149 4738431915 14215295745