Search a number
-
+
240305040221233 = 13171087353123173
BaseRepresentation
bin110110101000111001100000…
…100011110110010000110001
31011111211221022102112212100111
4312220321200203312100301
5222444124210244034413
62211030340024221321
7101421315625440361
oct6650714043662061
91144757272485314
10240305040221233
116a628882513509
1222b5088790a841
13a41188b957270
14434ab7c7b29a1
151cbad43bb8d3d
hexda8e608f6431

240305040221233 has 8 divisors (see below), whose sum is σ = 274012987039848. Its totient is φ = 208771799649024.

The previous prime is 240305040221177. The next prime is 240305040221293. The reversal of 240305040221233 is 332122040503042.

It can be written as a sum of positive squares in 4 ways, for example, as 76570060186624 + 163734980034609 = 8750432^2 + 12795897^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-240305040221233 is a prime.

It is a super-3 number, since 3×2403050402212333 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240305040221195 and 240305040221204.

It is not an unprimeable number, because it can be changed into a prime (240305040221293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 543676561366 + ... + 543676561807.

It is an arithmetic number, because the mean of its divisors is an integer number (34251623379981).

Almost surely, 2240305040221233 is an apocalyptic number.

It is an amenable number.

240305040221233 is a deficient number, since it is larger than the sum of its proper divisors (33707946818615).

240305040221233 is a wasteful number, since it uses less digits than its factorization.

240305040221233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087353123203.

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 240305040221233 its reverse (332122040503042), we get a palindrome (572427080724275).

The spelling of 240305040221233 in words is "two hundred forty trillion, three hundred five billion, forty million, two hundred twenty-one thousand, two hundred thirty-three".

Divisors: 1 13 17 221 1087353123173 14135590601249 18485003093941 240305040221233