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11044131441024 = 2731129434920731
BaseRepresentation
bin1010000010110110100110…
…0010000000100110000000
31110002210211111202011110010
42200231221202000212000
52421421340122103044
635253334241304520
72216624605222563
oct240555142004600
943083744664403
1011044131441024
113578876307820
1212a4515335140
136215c33c9676
142a27787104da
1514243ac2bbb9
hexa0b69880980

11044131441024 has 256 divisors, whose sum is σ = 33115638240000. Its totient is φ = 3230403993600.

The previous prime is 11044131441011. The next prime is 11044131441059. The reversal of 11044131441024 is 42014413144011.

It is a super-2 number, since 2×110441314410242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11044131440982 and 11044131441000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532724739 + ... + 532745469.

It is an arithmetic number, because the mean of its divisors is an integer number (129357961875).

Almost surely, 211044131441024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11044131441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16557819120000).

11044131441024 is an abundant number, since it is smaller than the sum of its proper divisors (22071506798976).

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

11044131441024 is a wasteful number, since it uses less digits than its factorization.

11044131441024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25137 (or 25125 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 11044131441024 its reverse (42014413144011), we get a palindrome (53058544585035).

The spelling of 11044131441024 in words is "eleven trillion, forty-four billion, one hundred thirty-one million, four hundred forty-one thousand, twenty-four".