Search a number
-
+
214011408384 = 2123219615009
BaseRepresentation
bin1100011101010000010…
…0101111000000000000
3202110101211012222102200
43013110010233000000
512001243410032014
6242152051113200
721314254646064
oct3072404570000
9673354188380
10214011408384
1182841951754
1235587ba2800
13172480c3977
14a502cc7aa4
1558785aca09
hex31d412f000

214011408384 has 312 divisors, whose sum is σ = 661514989200. Its totient is φ = 66461368320.

The previous prime is 214011408379. The next prime is 214011408421. The reversal of 214011408384 is 483804110412.

It is a happy number.

214011408384 is a `hidden beast` number, since 214 + 0 + 1 + 1 + 408 + 38 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 42722872 + ... + 42727880.

It is an arithmetic number, because the mean of its divisors is an integer number (2120240350).

Almost surely, 2214011408384 is an apocalyptic number.

214011408384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214011408384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330757494600).

214011408384 is an abundant number, since it is smaller than the sum of its proper divisors (447503580816).

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

214011408384 is a wasteful number, since it uses less digits than its factorization.

214011408384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119 (or 5094 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Adding to 214011408384 its reverse (483804110412), we get a palindrome (697815518796).

The spelling of 214011408384 in words is "two hundred fourteen billion, eleven million, four hundred eight thousand, three hundred eighty-four".