Search a number
-
+
23434142112 = 2532233537763
BaseRepresentation
bin10101110100110010…
…001010000110100000
32020111011110202121100
4111310302022012200
5340443120021422
614433202554400
71456501631013
oct256462120640
966434422540
1023434142112
119a35a648a7
124660068a00
132295cc5ba4
1411c441d37a
159224b97ac
hex574c8a1a0

23434142112 has 72 divisors (see below), whose sum is σ = 69538289184. Its totient is φ = 7471753344.

The previous prime is 23434142041. The next prime is 23434142113. The reversal of 23434142112 is 21124143432.

23434142112 is a `hidden beast` number, since 2 + 3 + 434 + 14 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23434142113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1762258 + ... + 1775505.

It is an arithmetic number, because the mean of its divisors is an integer number (965809572).

Almost surely, 223434142112 is an apocalyptic number.

It is an amenable number.

23434142112 is an abundant number, since it is smaller than the sum of its proper divisors (46104147072).

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

23434142112 is a wasteful number, since it uses less digits than its factorization.

23434142112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537802 (or 3537791 counting only the distinct ones).

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

Adding to 23434142112 its reverse (21124143432), we get a palindrome (44558285544).

The spelling of 23434142112 in words is "twenty-three billion, four hundred thirty-four million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 3537763 7075526 10613289 14151052 21226578 28302104 31839867 42453156 56604208 63679734 81368549 84906312 113208416 127359468 162737098 169812624 244105647 254718936 325474196 339625248 488211294 509437872 650948392 732316941 976422588 1018875744 1301896784 1464633882 1952845176 2603793568 2929267764 3905690352 5858535528 7811380704 11717071056 23434142112