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11380236431040 = 2632519210945903
BaseRepresentation
bin1010010110011010101011…
…1100110010111011000000
31111021221101020120201110200
42211212222330302323000
52442423211011243130
640112001453525200
72253123603416631
oct245465274627300
944257336521420
1011380236431040
113698370868444
1213396961a3800
136471c8358c99
142b4b409d9888
1514b05ce8a760
hexa59aaf32ec0

11380236431040 has 252 divisors, whose sum is σ = 41311877634144. Its totient is φ = 2875006835712.

The previous prime is 11380236431017. The next prime is 11380236431051. The reversal of 11380236431040 is 4013463208311.

11380236431040 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 0 + 2 + 3 + 643 + 1 + 0 + 4 + 0 = 666.

11380236431040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11380236430986 and 11380236431004.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4433272 + ... + 6512631.

Almost surely, 211380236431040 is an apocalyptic number.

11380236431040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11380236431040 is an abundant number, since it is smaller than the sum of its proper divisors (29931641203104).

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

11380236431040 is a wasteful number, since it uses less digits than its factorization.

11380236431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10945964 (or 10945932 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 11380236431040 its reverse (4013463208311), we get a palindrome (15393699639351).

The spelling of 11380236431040 in words is "eleven trillion, three hundred eighty billion, two hundred thirty-six million, four hundred thirty-one thousand, forty".