Search a number
-
+
241116353296 = 2472132192712
BaseRepresentation
bin1110000010001110100…
…1111001001100010000
3212001100210221211211021
43200203221321030100
512422301241301141
6302433424125224
723264042121100
oct3404351711420
9761323854737
10241116353296
1193290993a75
123a891466814
1319977759a00
14b954a47200
156412e726d1
hex3823a79310

241116353296 has 405 divisors, whose sum is σ = 629924366133. Its totient is φ = 89093571840.

The previous prime is 241116353293. The next prime is 241116353323. The reversal of 241116353296 is 692353611142.

The square root of 241116353296 is 491036.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 35668099600 + 205448253696 = 188860^2 + 453264^2 .

It is a super-2 number, since 2×2411163532962 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (241116353293) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3396004941 + ... + 3396005011.

Almost surely, 2241116353296 is an apocalyptic number.

241116353296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

241116353296 is the 491036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241116353296

241116353296 is an abundant number, since it is smaller than the sum of its proper divisors (388808012837).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

241116353296 is a wasteful number, since it uses less digits than its factorization.

241116353296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 112 counting only the distinct ones).

The product of its digits is 233280, while the sum is 43.

The spelling of 241116353296 in words is "two hundred forty-one billion, one hundred sixteen million, three hundred fifty-three thousand, two hundred ninety-six".