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1041343890048 = 2734711172772
BaseRepresentation
bin11110010011101001110…
…11101100001010000000
310200112220001020122120000
433021310323230022000
5114030133013440143
62114215313320000
7135143321006430
oct17116473541200
93615801218500
101041343890048
113716a4529470
1214999bb66000
13772768b23c7
14385892bc2c0
151c14b20cbd3
hexf274eec280

1041343890048 has 960 divisors, whose sum is σ = 4105816102080. Its totient is φ = 253649387520.

The previous prime is 1041343890043. The next prime is 1041343890053. The reversal of 1041343890048 is 8400983431401.

It is an interprime number because it is at equal distance from previous prime (1041343890043) and next prime (1041343890053).

It is a super-2 number, since 2×10413438900482 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1041343889985 and 1041343890012.

It is not an unprimeable number, because it can be changed into a prime (1041343890043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3759364086 + ... + 3759364362.

It is an arithmetic number, because the mean of its divisors is an integer number (4276891773).

Almost surely, 21041343890048 is an apocalyptic number.

1041343890048 is a gapful number since it is divisible by the number (18) 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 1041343890048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052908051040).

1041343890048 is an abundant number, since it is smaller than the sum of its proper divisors (3064472212032).

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

1041343890048 is an equidigital number, since it uses as much as digits as its factorization.

1041343890048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

It can be divided in two parts, 1041343 and 890048, that added together give a palindrome (1931391).

The spelling of 1041343890048 in words is "one trillion, forty-one billion, three hundred forty-three million, eight hundred ninety thousand, forty-eight".