Search a number
-
+
1342934856000 = 263353172315901
BaseRepresentation
bin10011100010101101001…
…001111011000101000000
311202101100102212010022000
4103202231021323011000
5134000312310343000
62504534042344000
7166011114634563
oct23425511730500
94671312763260
101342934856000
11478598796a61
1219832a1bb000
139983b202a8a
1448dd98424da
1524ded3d4000
hex138ad27b140

1342934856000 has 896 divisors, whose sum is σ = 5444071326720. Its totient is φ = 322375680000.

The previous prime is 1342934855987. The next prime is 1342934856019. The reversal of 1342934856000 is 6584392431.

1342934856000 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 9 + 34 + 8 + 5 + 600 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 84448050 + ... + 84463950.

Almost surely, 21342934856000 is an apocalyptic number.

1342934856000 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 1342934856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722035663360).

1342934856000 is an abundant number, since it is smaller than the sum of its proper divisors (4101136470720).

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

1342934856000 is a wasteful number, since it uses less digits than its factorization.

1342934856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15977 (or 15951 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1342934856000 in words is "one trillion, three hundred forty-two billion, nine hundred thirty-four million, eight hundred fifty-six thousand".