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134041314 = 231119139769
BaseRepresentation
bin1111111110101…
…00111011100010
3100100020000010010
413333110323202
5233303310224
621144545350
73215222001
oct777247342
9310200103
10134041314
1169732250
1238a82256
1321a020b4
1413b32c38
15bb7ae29
hex7fd4ee2

134041314 has 64 divisors (see below), whose sum is σ = 310464000. Its totient is φ = 38154240.

The previous prime is 134041301. The next prime is 134041319. The reversal of 134041314 is 413140431.

It is not an unprimeable number, because it can be changed into a prime (134041319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173922 + ... + 174690.

It is an arithmetic number, because the mean of its divisors is an integer number (4851000).

Almost surely, 2134041314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134041314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155232000).

134041314 is an abundant number, since it is smaller than the sum of its proper divisors (176422686).

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

134041314 is a wasteful number, since it uses less digits than its factorization.

134041314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 134041314 is about 11577.6212582724. The cubic root of 134041314 is about 511.7755796451.

Adding to 134041314 its reverse (413140431), we get a palindrome (547181745).

The spelling of 134041314 in words is "one hundred thirty-four million, forty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 139 209 278 417 418 627 769 834 1254 1529 1538 2307 2641 3058 4587 4614 5282 7923 8459 9174 14611 15846 16918 25377 29051 29222 43833 50754 58102 87153 87666 106891 160721 174306 213782 320673 321442 482163 641346 964326 1175801 2030929 2351602 3527403 4061858 6092787 7054806 12185574 22340219 44680438 67020657 134041314