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11032104341440 = 2657213431258637
BaseRepresentation
bin1010000010001001110010…
…1010010000111111000000
31110001122210022122012110101
42200202130222100333000
52421222222202411230
635244025003012144
72216020554450400
oct240423452207700
943048708565411
1011032104341440
1135737643268a6
1212a211950a054
136204277670b0
142a1d5727a800
15141e84e06aca
hexa089ca90fc0

11032104341440 has 336 divisors, whose sum is σ = 33675292661472. Its totient is φ = 3410279276544.

The previous prime is 11032104341393. The next prime is 11032104341561. The reversal of 11032104341440 is 4414340123011.

It is a super-2 number, since 2×110321043414402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11032104341399 and 11032104341408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8135802 + ... + 9394438.

It is an arithmetic number, because the mean of its divisors is an integer number (100224085302).

Almost surely, 211032104341440 is an apocalyptic number.

11032104341440 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 11032104341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16837646330736).

11032104341440 is an abundant number, since it is smaller than the sum of its proper divisors (22643188320032).

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

11032104341440 is a wasteful number, since it uses less digits than its factorization.

11032104341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258724 (or 1258707 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 11032104341440 its reverse (4414340123011), we get a palindrome (15446444464451).

The spelling of 11032104341440 in words is "eleven trillion, thirty-two billion, one hundred four million, three hundred forty-one thousand, four hundred forty".