Search a number
-
+
241005134500304 = 24372831914375623
BaseRepresentation
bin110110110011000101100001…
…011011100101000111010000
31011121022212101012110010122212
4312303011201123211013100
5223042112003413002204
62212324121430251252
7101523021621561116
oct6663054133450720
91147285335403585
10241005134500304
116a878781486399
12230444abab6b28
13a4628c07b3a25
1443729d4419ab6
151cce16b195c6e
hexdb31616e51d0

241005134500304 has 40 divisors (see below), whose sum is σ = 479584617239040. Its totient is φ = 117241592773248.

The previous prime is 241005134500301. The next prime is 241005134500343. The reversal of 241005134500304 is 403005431500142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241005134500301) 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 7 ways as a sum of consecutive naturals, for example, 9577037 + ... + 23952659.

It is an arithmetic number, because the mean of its divisors is an integer number (11989615430976).

Almost surely, 2241005134500304 is an apocalyptic number.

It is an amenable number.

241005134500304 is a deficient number, since it is larger than the sum of its proper divisors (238579482738736).

241005134500304 is a wasteful number, since it uses less digits than its factorization.

241005134500304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14403987 (or 14403981 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 241005134500304 in words is "two hundred forty-one trillion, five billion, one hundred thirty-four million, five hundred thousand, three hundred four".

Divisors: 1 2 4 8 16 37 74 148 296 592 28319 56638 113276 226552 453104 1047803 2095606 4191212 8382424 14375623 16764848 28751246 57502492 115004984 230009968 531898051 1063796102 2127592204 4255184408 8510368816 407103267737 814206535474 1628413070948 3256826141896 6513652283792 15062820906269 30125641812538 60251283625076 120502567250152 241005134500304