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1342423272960 = 293357111737401
BaseRepresentation
bin10011100010001110101…
…010011000111000000000
311202100000210020000022000
4103202032222120320000
5133443240324213320
62504411205344000
7165662333356050
oct23421652307000
94670023200260
101342423272960
11478355a39060
12198206a08000
1399789223713
1448d8b913560
1524dbd52dc90
hex1388ea98e00

1342423272960 has 2560 divisors, whose sum is σ = 6480973762560. Its totient is φ = 254803968000.

The previous prime is 1342423272937. The next prime is 1342423273013. The reversal of 1342423272960 is 692723242431.

1342423272960 is a `hidden beast` number, since 1 + 3 + 4 + 242 + 327 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3347688760 + ... + 3347689160.

It is an arithmetic number, because the mean of its divisors is an integer number (2531630376).

Almost surely, 21342423272960 is an apocalyptic number.

1342423272960 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 1342423272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240486881280).

1342423272960 is an abundant number, since it is smaller than the sum of its proper divisors (5138550489600).

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

1342423272960 is a wasteful number, since it uses less digits than its factorization.

1342423272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 1342423272960 in words is "one trillion, three hundred forty-two billion, four hundred twenty-three million, two hundred seventy-two thousand, nine hundred sixty".