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11304142240 = 25570650889
BaseRepresentation
bin10101000011100011…
…11000010110100000
31002011210201220221211
422201301320112200
5141122330022430
65105410555504
7550061423626
oct124161702640
932153656854
1011304142240
114880991416
122235898b94
1310b1c45981
14793441516
1546261a72a
hex2a1c785a0

11304142240 has 24 divisors (see below), whose sum is σ = 26706036420. Its totient is φ = 4521656832.

The previous prime is 11304142211. The next prime is 11304142249. The reversal of 11304142240 is 4224140311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10504610064 + 799532176 = 102492^2 + 28276^2 .

It is a super-3 number, since 3×113041422403 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11304142249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35325285 + ... + 35325604.

Almost surely, 211304142240 is an apocalyptic number.

11304142240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11304142240 is an abundant number, since it is smaller than the sum of its proper divisors (15401894180).

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

11304142240 is an equidigital number, since it uses as much as digits as its factorization.

11304142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70650904 (or 70650896 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 11304142240 its reverse (4224140311), we get a palindrome (15528282551).

The spelling of 11304142240 in words is "eleven billion, three hundred four million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 70650889 141301778 282603556 353254445 565207112 706508890 1130414224 1413017780 2260828448 2826035560 5652071120 11304142240