Search a number
-
+
235150204042431 = 32197432101388079
BaseRepresentation
bin110101011101111000101100…
…011000010111110010111111
31010211121010210000211212221100
4311131320230120113302333
5221310200104213324211
62152042302403104143
7100350020161042266
oct6535705430276277
91124533700755840
10235150204042431
1168a20706913117
1222459827672053
13a1297523b2ab2
14420d48b25d5dd
151c2bbe3021156
hexd5de2c617cbf

235150204042431 has 48 divisors (see below), whose sum is σ = 358040633932800. Its totient is φ = 148307289391296.

The previous prime is 235150204042427. The next prime is 235150204042459. The reversal of 235150204042431 is 134240402051532.

It is a happy number.

235150204042431 is a `hidden beast` number, since 2 + 3 + 5 + 1 + 5 + 0 + 2 + 0 + 404 + 243 + 1 = 666.

It is not a de Polignac number, because 235150204042431 - 22 = 235150204042427 is a prime.

It is a super-2 number, since 2×2351502040424312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235150204042231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2669720650 + ... + 2669808728.

It is an arithmetic number, because the mean of its divisors is an integer number (7459179873600).

Almost surely, 2235150204042431 is an apocalyptic number.

235150204042431 is a deficient number, since it is larger than the sum of its proper divisors (122890429890369).

235150204042431 is a wasteful number, since it uses less digits than its factorization.

235150204042431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109860 (or 109857 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 235150204042431 its reverse (134240402051532), we get a palindrome (369390606093963).

The spelling of 235150204042431 in words is "two hundred thirty-five trillion, one hundred fifty billion, two hundred four million, forty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 19 57 171 743 2229 6687 14117 21013 42351 63039 88079 127053 189117 264237 399247 792711 1197741 1673501 3593223 5020503 15061509 15612659 46837977 65442697 140513931 196328091 296640521 588984273 889921563 1243411243 1850804027 2669764689 3730233729 5552412081 11190701187 16657236243 35165276513 105495829539 316487488617 1375147392061 4125442176183 12376326528549 26127800449159 78383401347477 235150204042431