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1342235785400 = 2352172947289637
BaseRepresentation
bin10011100010000011011…
…111001011100010111000
311202022112201102122201022
4103202003133023202320
5133442344330113100
62504340431042012
7165654565634066
oct23420337134270
94668481378638
101342235785400
1147826a121964
12198174070308
139975942a733
1448d70a6b036
1524dabd46e85
hex138837cb8b8

1342235785400 has 192 divisors, whose sum is σ = 3490948886400. Its totient is φ = 477505495040.

The previous prime is 1342235785379. The next prime is 1342235785441. The reversal of 1342235785400 is 45875322431.

It is a Cunningham number, because it is equal to 11585492-1.

It is a congruent number.

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, 4489382 + ... + 4779018.

It is an arithmetic number, because the mean of its divisors is an integer number (18182025450).

Almost surely, 21342235785400 is an apocalyptic number.

1342235785400 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 1342235785400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745474443200).

1342235785400 is an abundant number, since it is smaller than the sum of its proper divisors (2148713101000).

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

1342235785400 is a wasteful number, since it uses less digits than its factorization.

1342235785400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289746 (or 289737 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 44.

The spelling of 1342235785400 in words is "one trillion, three hundred forty-two billion, two hundred thirty-five million, seven hundred eighty-five thousand, four hundred".