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240044224133 = 7224281201757
BaseRepresentation
bin1101111110001111000…
…0000010111010000101
3211221121002120001002202
43133203300002322011
512413102310133013
6302135204444245
723225343145100
oct3374360027205
9757532501082
10240044224133
119289078550a
123a6323a9685
13198365b6b5c
14b8924c1737
15639dc94858
hex37e3c02e85

240044224133 has 12 divisors (see below), whose sum is σ = 279248002092. Its totient is φ = 205742698560.

The previous prime is 240044224117. The next prime is 240044224159. The reversal of 240044224133 is 331422440042.

240044224133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 101826086404 + 138218137729 = 319102^2 + 371777^2 .

It is not a de Polignac number, because 240044224133 - 24 = 240044224117 is a prime.

It is a super-2 number, since 2×2400442241332 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 240044224096 and 240044224105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240044224933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1088891 + ... + 1290647.

It is an arithmetic number, because the mean of its divisors is an integer number (23270666841).

Almost surely, 2240044224133 is an apocalyptic number.

It is an amenable number.

240044224133 is a deficient number, since it is larger than the sum of its proper divisors (39203777959).

240044224133 is a wasteful number, since it uses less digits than its factorization.

240044224133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226052 (or 226045 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 240044224133 its reverse (331422440042), we get a palindrome (571466664175).

The spelling of 240044224133 in words is "two hundred forty billion, forty-four million, two hundred twenty-four thousand, one hundred thirty-three".

Divisors: 1 7 49 24281 169967 201757 1189769 1412299 9886093 4898861717 34292032019 240044224133