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214442304440 = 235721310218243
BaseRepresentation
bin1100011110110111000…
…0011110001110111000
3202111111212000202200212
43013231300132032320
512003134212220230
6242302522450252
721331036340600
oct3075560361670
9674455022625
10214442304440
1182a430aa2a1
1235688363988
13172b6462050
14a544211c00
1558a1325895
hex31edc1e3b8

214442304440 has 192 divisors, whose sum is σ = 605109929760. Its totient is φ = 67792757760.

The previous prime is 214442304379. The next prime is 214442304449. The reversal of 214442304440 is 44403244412.

It is a junction number, because it is equal to n+sod(n) for n = 214442304397 and 214442304406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214442304449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26010959 + ... + 26019201.

Almost surely, 2214442304440 is an apocalyptic number.

214442304440 is a gapful number since it is divisible by the number (20) 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 214442304440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302554964880).

214442304440 is an abundant number, since it is smaller than the sum of its proper divisors (390667625320).

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

214442304440 is a wasteful number, since it uses less digits than its factorization.

214442304440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9302 (or 9291 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 214442304440 its reverse (44403244412), we get a palindrome (258845548852).

The spelling of 214442304440 in words is "two hundred fourteen billion, four hundred forty-two million, three hundred four thousand, four hundred forty".