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11341110040 = 23513217294183
BaseRepresentation
bin10101000111111101…
…11001101100011000
31002021101022002020121
422203332321230120
5141211311010130
65113211203024
7551020562521
oct124376715430
932241262217
1011341110040
11489a840917
122246146474
1310b97ba300
14798305848
154659bdd7a
hex2a3fb9b18

11341110040 has 384 divisors, whose sum is σ = 31377326400. Its totient is φ = 3667722240.

The previous prime is 11341109987. The next prime is 11341110047. The reversal of 11341110040 is 4001114311.

It is a junction number, because it is equal to n+sod(n) for n = 11341109996 and 11341110023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11341110047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136639839 + ... + 136639921.

Almost surely, 211341110040 is an apocalyptic number.

11341110040 is a gapful number since it is divisible by the number (10) 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 11341110040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15688663200).

11341110040 is an abundant number, since it is smaller than the sum of its proper divisors (20036216360).

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

11341110040 is a wasteful number, since it uses less digits than its factorization.

11341110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11341110040 its reverse (4001114311), we get a palindrome (15342224351).

The spelling of 11341110040 in words is "eleven billion, three hundred forty-one million, one hundred ten thousand, forty".