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3440202442304 = 26373144110357
BaseRepresentation
bin110010000011111100000…
…010110110011001000000
3110011212202121211022120112
4302003330002312121000
5422331013311123204
611152223541330452
7503355265164515
oct62037402663100
913155677738515
103440202442304
111106a88658001
12476898a06a28
131bc543151634
14bc7144c330c
155e74a7b226e
hex320fc0b6640

3440202442304 has 28 divisors (see below), whose sum is σ = 6844953784284. Its totient is φ = 1715489677824.

The previous prime is 3440202442277. The next prime is 3440202442307. The reversal of 3440202442304 is 4032442020443.

It can be written as a sum of positive squares in 2 ways, for example, as 2060235363904 + 1379967078400 = 1435352^2 + 1174720^2 .

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 (3440202442307) 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, 72031307 + ... + 72079050.

It is an arithmetic number, because the mean of its divisors is an integer number (244462635153).

Almost surely, 23440202442304 is an apocalyptic number.

It is an amenable number.

3440202442304 is a deficient number, since it is larger than the sum of its proper divisors (3404751341980).

3440202442304 is a wasteful number, since it uses less digits than its factorization.

3440202442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144110742 (or 144110732 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 3440202442304 its reverse (4032442020443), we get a palindrome (7472644462747).

The spelling of 3440202442304 in words is "three trillion, four hundred forty billion, two hundred two million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 373 746 1492 2984 5968 11936 23872 144110357 288220714 576441428 1152882856 2305765712 4611531424 9223062848 53753163161 107506326322 215012652644 430025305288 860050610576 1720101221152 3440202442304