Search a number
-
+
133314214304 = 25113277133097
BaseRepresentation
bin111110000101000100…
…1010111100110100000
3110202002220012202221202
41330022021113212200
54141011414324204
6141124350140332
712426436060505
oct1741211274640
9422086182852
10133314214304
11515a1442417
1221a067b16a8
13c7576c299b
1466497054ac
153703cc2e1e
hex1f0a2579a0

133314214304 has 48 divisors (see below), whose sum is σ = 265742934408. Its totient is φ = 65828216832.

The previous prime is 133314214291. The next prime is 133314214309. The reversal of 133314214304 is 403412413331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19029650704 + 114284563600 = 137948^2 + 338060^2 .

It is not an unprimeable number, because it can be changed into a prime (133314214309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 935084 + ... + 1068180.

Almost surely, 2133314214304 is an apocalyptic number.

It is an amenable number.

133314214304 is a deficient number, since it is larger than the sum of its proper divisors (132428720104).

133314214304 is a wasteful number, since it uses less digits than its factorization.

133314214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133497 (or 133489 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 133314214304 its reverse (403412413331), we get a palindrome (536726627635).

The spelling of 133314214304 in words is "one hundred thirty-three billion, three hundred fourteen million, two hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 32 113 226 277 452 554 904 1108 1808 2216 3616 4432 8864 31301 62602 125204 133097 250408 266194 500816 532388 1001632 1064776 2129552 4259104 15039961 30079922 36867869 60159844 73735738 120319688 147471476 240639376 294942952 481278752 589885904 1179771808 4166069197 8332138394 16664276788 33328553576 66657107152 133314214304