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2440361681 is a prime number
BaseRepresentation
bin1001000101110100…
…1111011011010001
320022001222012212222
42101131033123101
514444213033211
61042053230425
7114321506042
oct22135173321
96261865788
102440361681
11104257a93a
12581332415
132cb77acc4
141921688c9
15e439a1db
hex9174f6d1

2440361681 has 2 divisors, whose sum is σ = 2440361682. Its totient is φ = 2440361680.

The previous prime is 2440361659. The next prime is 2440361689. The reversal of 2440361681 is 1861630442.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2440360000 + 1681 = 49400^2 + 41^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2440361681 is a prime.

It is a super-2 number, since 2×24403616812 = 11910730268186291522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2440361689) 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 as a sum of consecutive naturals, namely, 1220180840 + 1220180841.

It is an arithmetic number, because the mean of its divisors is an integer number (1220180841).

Almost surely, 22440361681 is an apocalyptic number.

It is an amenable number.

2440361681 is a deficient number, since it is larger than the sum of its proper divisors (1).

2440361681 is an equidigital number, since it uses as much as digits as its factorization.

2440361681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 2440361681 is about 49400.0170141671. The cubic root of 2440361681 is about 1346.3296149896.

It can be divided in two parts, 244036 and 1681, that multiplied together give a square (410224516 = 202542).

The spelling of 2440361681 in words is "two billion, four hundred forty million, three hundred sixty-one thousand, six hundred eighty-one".