Search a number
-
+
1426914394776 = 2334131313973257
BaseRepresentation
bin10100110000111010101…
…110011100001010011000
312001102010010011201020000
4110300322232130022120
5141334310041113101
63011303155333000
7205043161143213
oct24607256341230
95042103151200
101426914394776
11500172a81462
121b06668b1160
13a4732943c60
144d0c4d2677a
15271b5e35486
hex14c3ab9c298

1426914394776 has 320 divisors, whose sum is σ = 4349233738080. Its totient is φ = 434468136960.

The previous prime is 1426914394753. The next prime is 1426914394783. The reversal of 1426914394776 is 6774934196241.

1426914394776 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 91 + 439 + 47 + 76 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 438105340 + ... + 438108596.

Almost surely, 21426914394776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1426914394776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174616869040).

1426914394776 is an abundant number, since it is smaller than the sum of its proper divisors (2922319343304).

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

1426914394776 is a wasteful number, since it uses less digits than its factorization.

1426914394776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 3803 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 1426914394776 in words is "one trillion, four hundred twenty-six billion, nine hundred fourteen million, three hundred ninety-four thousand, seven hundred seventy-six".