Search a number
-
+
320141430441 = 32737613224047
BaseRepresentation
bin1001010100010011110…
…10101000111010101001
31010121100012120201002100
410222021322220322221
520221122201233231
6403023153524013
732062255155030
oct4521172507251
91117305521070
10320141430441
11113853545088
1252066873609
132425c8c49a1
14116d0121717
1584daa651e6
hex4a89ea8ea9

320141430441 has 48 divisors (see below), whose sum is σ = 543658745344. Its totient is φ = 177702532992.

The previous prime is 320141430439. The next prime is 320141430457. The reversal of 320141430441 is 144034141023.

320141430441 is a `hidden beast` number, since 3 + 201 + 4 + 14 + 3 + 0 + 441 = 666.

It is not a de Polignac number, because 320141430441 - 21 = 320141430439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (320141430481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1316880 + ... + 1540926.

Almost surely, 2320141430441 is an apocalyptic number.

It is an amenable number.

320141430441 is a deficient number, since it is larger than the sum of its proper divisors (223517314903).

320141430441 is a wasteful number, since it uses less digits than its factorization.

320141430441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224710 (or 224707 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 320141430441 its reverse (144034141023), we get a palindrome (464175571464).

The spelling of 320141430441 in words is "three hundred twenty billion, one hundred forty-one million, four hundred thirty thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 37 63 111 259 333 613 777 1839 2331 4291 5517 12873 22681 38619 68043 158767 204129 224047 476301 672141 1428903 1568329 2016423 4704987 8289739 14114961 24869217 58028173 74607651 137340811 174084519 412022433 522253557 961385677 1236067299 2884157031 5081610007 8652471093 15244830021 35571270049 45734490063 106713810147 320141430441