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2240331850657 is a prime number
BaseRepresentation
bin100000100110011110001…
…011110010001110100001
321221011200120121211111001
4200212132023302032201
5243201144423210112
64433105542352001
7320600340346345
oct40463613621641
97834616554431
102240331850657
11794134a1936a
1230223672b601
13133354606024
147a60b243625
153d422139c57
hex2099e2f23a1

2240331850657 has 2 divisors, whose sum is σ = 2240331850658. Its totient is φ = 2240331850656.

The previous prime is 2240331850633. The next prime is 2240331850733. The reversal of 2240331850657 is 7560581330422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1765175302801 + 475156547856 = 1328599^2 + 689316^2 .

It is a cyclic number.

It is not a de Polignac number, because 2240331850657 - 219 = 2240331326369 is a prime.

It is not a weakly prime, because it can be changed into another prime (2240331850957) 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 as a sum of consecutive naturals, namely, 1120165925328 + 1120165925329.

It is an arithmetic number, because the mean of its divisors is an integer number (1120165925329).

Almost surely, 22240331850657 is an apocalyptic number.

It is an amenable number.

2240331850657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2240331850657 is an equidigital number, since it uses as much as digits as its factorization.

2240331850657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 2240331850657 in words is "two trillion, two hundred forty billion, three hundred thirty-one million, eight hundred fifty thousand, six hundred fifty-seven".