Search a number
-
+
214236305024 = 277239103019
BaseRepresentation
bin1100011110000101111…
…0101001011010000000
3202110222111101220121212
43013201132221122000
512002223443230044
6242230243305252
721322655355320
oct3074136513200
9673874356555
10214236305024
1182947899945
123562b37b228
13172828870c1
14a524b0b280
15588d1d3a9e
hex31e17a9680

214236305024 has 32 divisors (see below), whose sum is σ = 487770160800. Its totient is φ = 91815558912.

The previous prime is 214236305021. The next prime is 214236305029. The reversal of 214236305024 is 420503632412.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (214236305021) 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 3 ways as a sum of consecutive naturals, for example, 119550614 + ... + 119552405.

It is an arithmetic number, because the mean of its divisors is an integer number (15242817525).

Almost surely, 2214236305024 is an apocalyptic number.

It is an amenable number.

214236305024 is an abundant number, since it is smaller than the sum of its proper divisors (273533855776).

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

214236305024 is an equidigital number, since it uses as much as digits as its factorization.

214236305024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239103040 (or 239103028 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 214236305024 its reverse (420503632412), we get a palindrome (634739937436).

The spelling of 214236305024 in words is "two hundred fourteen billion, two hundred thirty-six million, three hundred five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 239103019 478206038 956412076 1673721133 1912824152 3347442266 3825648304 6694884532 7651296608 13389769064 15302593216 26779538128 30605186432 53559076256 107118152512 214236305024