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1334333400340 = 2251711334730177
BaseRepresentation
bin10011011010101100011…
…101111110010100010100
311201120010222200220100011
4103122230131332110110
5133330203322302330
62500552335330004
7165255011523433
oct23325435762424
94646128626304
101334333400340
11474984467016
12196729680904
1398a9a1a4645
144882133311a
1524a981ce82a
hex136ac77e514

1334333400340 has 48 divisors (see below), whose sum is σ = 2993185660752. Its totient is φ = 497891803136.

The previous prime is 1334333400331. The next prime is 1334333400451. The reversal of 1334333400340 is 430043334331.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 82293249424 + 1252040150916 = 286868^2 + 1118946^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17326669 + ... + 17403508.

It is an arithmetic number, because the mean of its divisors is an integer number (62358034599).

Almost surely, 21334333400340 is an apocalyptic number.

1334333400340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334333400340 is an abundant number, since it is smaller than the sum of its proper divisors (1658852260412).

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

1334333400340 is a wasteful number, since it uses less digits than its factorization.

1334333400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34730316 (or 34730314 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 31.

Adding to 1334333400340 its reverse (430043334331), we get a palindrome (1764376734671).

The spelling of 1334333400340 in words is "one trillion, three hundred thirty-four billion, three hundred thirty-three million, four hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 113 170 226 340 452 565 1130 1921 2260 3842 7684 9605 19210 38420 34730177 69460354 138920708 173650885 347301770 590413009 694603540 1180826018 2361652036 2952065045 3924510001 5904130090 7849020002 11808260180 15698040004 19622550005 39245100010 66716670017 78490200020 133433340034 266866680068 333583350085 667166700170 1334333400340