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11325336041040 = 2435725322438101
BaseRepresentation
bin1010010011001110001010…
…1000011011011001010000
31111002200200010210221111220
42210303202220123121100
52441023242011303130
640030442040005040
72246141245665600
oct244634250333120
944080603727456
1011325336041040
113677058a428aa
12132ab14160780
13641c89295808
142b2213536c00
151498e82b8410
hexa4ce2a1b650

11325336041040 has 480 divisors, whose sum is σ = 41634815308416. Its totient is φ = 2538360115200.

The previous prime is 11325336041039. The next prime is 11325336041057. The reversal of 11325336041040 is 4014063352311.

It is a junction number, because it is equal to n+sod(n) for n = 11325336040992 and 11325336041010.

It is a congruent number.

It is an unprimeable number.

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, 1398012990 + ... + 1398021090.

Almost surely, 211325336041040 is an apocalyptic number.

11325336041040 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 11325336041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20817407654208).

11325336041040 is an abundant number, since it is smaller than the sum of its proper divisors (30309479267376).

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

11325336041040 is a wasteful number, since it uses less digits than its factorization.

11325336041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10427 (or 10414 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 11325336041040 its reverse (4014063352311), we get a palindrome (15339399393351).

The spelling of 11325336041040 in words is "eleven trillion, three hundred twenty-five billion, three hundred thirty-six million, forty-one thousand, forty".