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240553130323153 is a prime number
BaseRepresentation
bin110110101100100000100011…
…111000011110110011010001
31011112201122200020211211211211
4312230200203320132303101
5223012210302330320103
62211340325452140121
7101445250550504224
oct6654404370366321
91145648606754754
10240553130323153
116a714011950a9a
1222b90984767641
13a42c0a812823b
144358b956a15bb
151cc2513ebc36d
hexdac823e1ecd1

240553130323153 has 2 divisors, whose sum is σ = 240553130323154. Its totient is φ = 240553130323152.

The previous prime is 240553130323109. The next prime is 240553130323199. The reversal of 240553130323153 is 351323031355042.

240553130323153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 171339931937344 + 69213198385809 = 13089688^2 + 8319447^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-240553130323153 is a prime.

It is a super-2 number, since 2×2405531303231532 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (240553130323553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120276565161576 + 120276565161577.

It is an arithmetic number, because the mean of its divisors is an integer number (120276565161577).

Almost surely, 2240553130323153 is an apocalyptic number.

It is an amenable number.

240553130323153 is a deficient number, since it is larger than the sum of its proper divisors (1).

240553130323153 is an equidigital number, since it uses as much as digits as its factorization.

240553130323153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486000, while the sum is 40.

Adding to 240553130323153 its reverse (351323031355042), we get a palindrome (591876161678195).

The spelling of 240553130323153 in words is "two hundred forty trillion, five hundred fifty-three billion, one hundred thirty million, three hundred twenty-three thousand, one hundred fifty-three".