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265241144104040 = 235133179271768563
BaseRepresentation
bin111100010011110001000100…
…001011001001010001101000
31021210010210202101022102122102
4330103301010023021101220
5234231202330342312130
62340042033251312532
7106604016546266456
oct7423610413112150
91253123671272572
10265241144104040
117757215702a485
12258b96165ab748
13b500195326590
14496da502d19d6
15209e7e6968645
hexf13c442c9468

265241144104040 has 256 divisors, whose sum is σ = 674309770444800. Its totient is φ = 93230874547200.

The previous prime is 265241144104039. The next prime is 265241144104051. The reversal of 265241144104040 is 40401441142562.

It is a super-3 number, since 3×2652411441040403 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 265241144103985 and 265241144104003.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344728799 + ... + 345497361.

It is an arithmetic number, because the mean of its divisors is an integer number (2634022540800).

Almost surely, 2265241144104040 is an apocalyptic number.

265241144104040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 265241144104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337154885222400).

265241144104040 is an abundant number, since it is smaller than the sum of its proper divisors (409068626340760).

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

265241144104040 is a wasteful number, since it uses less digits than its factorization.

265241144104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768968 (or 768964 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 38.

The spelling of 265241144104040 in words is "two hundred sixty-five trillion, two hundred forty-one billion, one hundred forty-four million, one hundred four thousand, forty".