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411435011244132 = 223211428750312337
BaseRepresentation
bin101110110001100101010110…
…1101100011000000001100100
31222221202210200100022122102200
41131203022231230120001210
5412411422400334303012
64015014345043134500
7152443125061524021
oct13543125554300144
91887683610278380
10411435011244132
1110a106676838907
123a18aa40974430
131487620293ca35
1473857bcb78548
15328757ec333dc
hex17632adb18064

411435011244132 has 18 divisors (see below), whose sum is σ = 1040016278422758. Its totient is φ = 137145003748032.

The previous prime is 411435011244109. The next prime is 411435011244137. The reversal of 411435011244132 is 231442110534114.

411435011244132 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 3 + 501 + 12 + 4 + 4 + 132 = 666.

It can be written as a sum of positive squares in only one way, i.e., 391555683270756 + 19879327973376 = 19787766^2 + 4458624^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11428750312337 = 411435011244132 / (4 + 1 + 1 + 4 + 3 + 5 + 0 + 1 + 1 + 2 + 4 + 4 + 1 + 3 + 2).

It is not an unprimeable number, because it can be changed into a prime (411435011244137) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5714375156133 + ... + 5714375156204.

Almost surely, 2411435011244132 is an apocalyptic number.

It is an amenable number.

411435011244132 is an abundant number, since it is smaller than the sum of its proper divisors (628581267178626).

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

411435011244132 is a wasteful number, since it uses less digits than its factorization.

411435011244132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11428750312347 (or 11428750312342 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 411435011244132 its reverse (231442110534114), we get a palindrome (642877121778246).

The spelling of 411435011244132 in words is "four hundred eleven trillion, four hundred thirty-five billion, eleven million, two hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 11428750312337 22857500624674 34286250937011 45715001249348 68572501874022 102858752811033 137145003748044 205717505622066 411435011244132