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1042411300000 = 25557330391
BaseRepresentation
bin11110010101101001000…
…11100010010010100000
310200122122102202200201221
433022310203202102200
5114034324243100000
62114513243504424
7135211631566000
oct17126443422240
93618572680657
101042411300000
113720a2004354
1214a039528114
13773b6a92225
143864ad76000
151c1aeca761a
hexf2b48e24a0

1042411300000 has 288 divisors, whose sum is σ = 2991521030400. Its totient is φ = 357386400000.

The previous prime is 1042411299967. The next prime is 1042411300019. The reversal of 1042411300000 is 31142401.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 34284805 + ... + 34315195.

It is an arithmetic number, because the mean of its divisors is an integer number (10387225800).

Almost surely, 21042411300000 is an apocalyptic number.

1042411300000 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 1042411300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495760515200).

1042411300000 is an abundant number, since it is smaller than the sum of its proper divisors (1949109730400).

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

1042411300000 is an frugal number, since it uses more digits than its factorization.

1042411300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30447 (or 30405 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1042411300000 its reverse (31142401), we get a palindrome (1042442442401).

The spelling of 1042411300000 in words is "one trillion, forty-two billion, four hundred eleven million, three hundred thousand".