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7312442137 = 7211131043591
BaseRepresentation
bin1101100111101101…
…10000001100011001
3200212121122112211021
412303312300030121
5104433441122022
63205335002441
7346131506200
oct66366601431
920777575737
107312442137
113112757010
121500b09421
138c6c6c050
144d524c237
152cbe847c7
hex1b3db0319

7312442137 has 24 divisors (see below), whose sum is σ = 9993436992. Its totient is φ = 5259693600.

The previous prime is 7312442129. The next prime is 7312442149.

7312442137 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7312442137 - 23 = 7312442129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7312442737) 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 23 ways as a sum of consecutive naturals, for example, 514789 + ... + 528802.

It is an arithmetic number, because the mean of its divisors is an integer number (416393208).

Almost surely, 27312442137 is an apocalyptic number.

7312442137 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

7312442137 is a deficient number, since it is larger than the sum of its proper divisors (2680994855).

7312442137 is a wasteful number, since it uses less digits than its factorization.

7312442137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043629 (or 1043622 counting only the distinct ones).

The product of its digits is 28224, while the sum is 34.

The square root of 7312442137 is about 85512.8185537116. The cubic root of 7312442137 is about 1940.9788995536.

The spelling of 7312442137 in words is "seven billion, three hundred twelve million, four hundred forty-two thousand, one hundred thirty-seven".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 1043591 7305137 11479501 13566683 51135959 80356507 94966781 149233513 562495549 664767467 1044634591 7312442137