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7214884128 = 253244415641
BaseRepresentation
bin1101011100000101…
…00110010100100000
3200121211002002101200
412232002212110200
5104234002243003
63151532001200
7343535334414
oct65602462440
920554062350
107214884128
113072683261
121494300200
138ac9a1c0a
144c62d4d44
152c36136a3
hex1ae0a6520

7214884128 has 72 divisors (see below), whose sum is σ = 20525584716. Its totient is φ = 2403993600.

The previous prime is 7214884111. The next prime is 7214884139. The reversal of 7214884128 is 8214884127.

It can be written as a sum of positive squares in 2 ways, for example, as 6656601744 + 558282384 = 81588^2 + 23628^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 1276188 + ... + 1281828.

Almost surely, 27214884128 is an apocalyptic number.

It is an amenable number.

7214884128 is an abundant number, since it is smaller than the sum of its proper divisors (13310700588).

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

7214884128 is a wasteful number, since it uses less digits than its factorization.

7214884128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10098 (or 10087 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 7214884128 is about 84940.4740274034. The cubic root of 7214884128 is about 1932.3084522241.

Subtracting 7214884128 from its reverse (8214884127), we obtain a palindrome (999999999).

The spelling of 7214884128 in words is "seven billion, two hundred fourteen million, eight hundred eighty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4441 5641 8882 11282 13323 16923 17764 22564 26646 33846 35528 39969 45128 50769 53292 67692 71056 79938 90256 101538 106584 135384 142112 159876 180512 203076 213168 270768 319752 406152 426336 541536 639504 812304 1279008 1624608 25051681 50103362 75155043 100206724 150310086 200413448 225465129 300620172 400826896 450930258 601240344 801653792 901860516 1202480688 1803721032 2404961376 3607442064 7214884128