Search a number
-
+
240356248289 is a prime number
BaseRepresentation
bin1101111111011001011…
…0010100101011100001
3211222101211200111202222
43133312112110223201
512414222144421124
6302230152320425
723236152254363
oct3376626245341
9758354614688
10240356248289
1192a30921913
123a6ba9a3115
1319886134931
14b8c1b04d33
1563bb37b25e
hex37f6594ae1

240356248289 has 2 divisors, whose sum is σ = 240356248290. Its totient is φ = 240356248288.

The previous prime is 240356248259. The next prime is 240356248333. The reversal of 240356248289 is 982842653042.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127889918689 + 112466329600 = 357617^2 + 335360^2 .

It is a cyclic number.

It is not a de Polignac number, because 240356248289 - 216 = 240356182753 is a prime.

It is a super-2 number, since 2×2403562482892 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 240356248289.

It is not a weakly prime, because it can be changed into another prime (240356248259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120178124144 + 120178124145.

It is an arithmetic number, because the mean of its divisors is an integer number (120178124145).

Almost surely, 2240356248289 is an apocalyptic number.

It is an amenable number.

240356248289 is a deficient number, since it is larger than the sum of its proper divisors (1).

240356248289 is an equidigital number, since it uses as much as digits as its factorization.

240356248289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6635520, while the sum is 53.

The spelling of 240356248289 in words is "two hundred forty billion, three hundred fifty-six million, two hundred forty-eight thousand, two hundred eighty-nine".