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1041343211440 = 24573724333137
BaseRepresentation
bin11110010011101001110…
…01000110011110110000
310200112212222222011200101
433021310321012132300
5114030132330231230
62114215251002144
7135143312152120
oct17116471063660
93615788864611
101041343211440
113716a4105634
1214999b899354
137727670556c
1438589182c80
151c14b126aca
hexf274e467b0

1041343211440 has 240 divisors, whose sum is σ = 2851278881472. Its totient is φ = 346469695488.

The previous prime is 1041343211437. The next prime is 1041343211479. The reversal of 1041343211440 is 441123431401.

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 = 1041343211399 and 1041343211408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331953552 + ... + 331956688.

Almost surely, 21041343211440 is an apocalyptic number.

1041343211440 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 1041343211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425639440736).

1041343211440 is an abundant number, since it is smaller than the sum of its proper divisors (1809935670032).

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

1041343211440 is a wasteful number, since it uses less digits than its factorization.

1041343211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3621 counting only the distinct ones).

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

Adding to 1041343211440 its reverse (441123431401), we get a palindrome (1482466642841).

The spelling of 1041343211440 in words is "one trillion, forty-one billion, three hundred forty-three million, two hundred eleven thousand, four hundred forty".