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1425406400334 = 23376775570039
BaseRepresentation
bin10100101111100000110…
…101111001011101001110
312001021020000121122202000
4110233200311321131032
5141323213014302314
63010453410013130
7204660620331030
oct24574065713516
95037200548660
101425406400334
114aa569830964
121b03058771a6
13a45523b2c57
144cdc0941c50
152712885c209
hex14be0d7974e

1425406400334 has 64 divisors (see below), whose sum is σ = 3625427635200. Its totient is φ = 406657334304.

The previous prime is 1425406400333. The next prime is 1425406400381. The reversal of 1425406400334 is 4330046045241.

1425406400334 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 4 + 0 + 640 + 0 + 3 + 3 + 4 = 666.

It is a super-2 number, since 2×14254064003342 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1425406400333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2529114 + ... + 3040925.

It is an arithmetic number, because the mean of its divisors is an integer number (56647306800).

Almost surely, 21425406400334 is an apocalyptic number.

1425406400334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1425406400334 is an abundant number, since it is smaller than the sum of its proper divisors (2200021234866).

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

1425406400334 is a wasteful number, since it uses less digits than its factorization.

1425406400334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5570734 (or 5570728 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 1425406400334 in words is "one trillion, four hundred twenty-five billion, four hundred six million, four hundred thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 677 1354 2031 4062 4739 6093 9478 12186 14217 18279 28434 36558 42651 85302 127953 255906 5570039 11140078 16710117 33420234 38990273 50130351 77980546 100260702 116970819 150391053 233941638 300782106 350912457 701824914 1052737371 2105474742 3770916403 7541832806 11312749209 22625498418 26396414821 33938247627 52792829642 67876495254 79189244463 101814742881 158378488926 203629485762 237567733389 475135466778 712703200167 1425406400334