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11254404225240 = 2335511105260047
BaseRepresentation
bin1010001111000101111011…
…0001000001100011011000
31110211220120210002100200000
42203301132301001203120
52433343004440201430
635534111341013000
72241050425340031
oct243613661014330
943756523070600
1011254404225240
113649a69868830
121319219254160
13638393a95187
142aca04c81a88
15147b45e93e60
hexa3c5ec418d8

11254404225240 has 192 divisors, whose sum is σ = 41379830069760. Its totient is φ = 2728340392320.

The previous prime is 11254404225199. The next prime is 11254404225241. The reversal of 11254404225240 is 4252240445211.

11254404225240 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 4 + 404 + 2 + 2 + 5 + 240 = 666.

It is a super-2 number, since 2×112544042252402 (a number of 27 digits) contains 22 as substring.

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 = 11254404225195 and 11254404225204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11254404225241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52523104 + ... + 52736943.

It is an arithmetic number, because the mean of its divisors is an integer number (215519948280).

Almost surely, 211254404225240 is an apocalyptic number.

11254404225240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11254404225240 is an abundant number, since it is smaller than the sum of its proper divisors (30125425844520).

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

11254404225240 is a wasteful number, since it uses less digits than its factorization.

11254404225240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105260084 (or 105260068 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 11254404225240 in words is "eleven trillion, two hundred fifty-four billion, four hundred four million, two hundred twenty-five thousand, two hundred forty".