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1341322000000 = 2756809829
BaseRepresentation
bin10011100001001101000…
…001010111011010000000
311202020012000222112210121
4103201031001113122000
5133434011413000000
62504110025310024
7165623131611523
oct23411501273200
94666160875717
101341322000000
11477940334414
12197b5a035314
1399642018508
1448cc5562bba
1524d569e5b1a
hex1384d057680

1341322000000 has 224 divisors, whose sum is σ = 3348326281500. Its totient is φ = 535219200000.

The previous prime is 1341321999961. The next prime is 1341322000043. The reversal of 1341322000000 is 2231431.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 896475686976 + 444846313024 = 946824^2 + 666968^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1617999586 + ... + 1618000414.

Almost surely, 21341322000000 is an apocalyptic number.

1341322000000 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 1341322000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674163140750).

1341322000000 is an abundant number, since it is smaller than the sum of its proper divisors (2007004281500).

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

1341322000000 is an frugal number, since it uses more digits than its factorization.

1341322000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1341322000000 its reverse (2231431), we get a palindrome (1341324231431).

The spelling of 1341322000000 in words is "one trillion, three hundred forty-one billion, three hundred twenty-two million", and thus it is an aban number.