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243234415144 = 23723716770161
BaseRepresentation
bin1110001010000111100…
…1101010001000101000
3212020211102110112110101
43202201321222020220
512441121002241034
6303423525355144
723400401262400
oct3424171521050
9766742415411
10243234415144
1194178539206
123b182868ab4
1319c244cca46
14bab6075800
1564d8da6514
hex38a1e6a228

243234415144 has 48 divisors (see below), whose sum is σ = 544862563380. Its totient is φ = 101425927680.

The previous prime is 243234415133. The next prime is 243234415147. The reversal of 243234415144 is 441514432342.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 179553892644 + 63680522500 = 423738^2 + 252350^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (243234415147) 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, 8370577 + ... + 8399584.

Almost surely, 2243234415144 is an apocalyptic number.

It is an amenable number.

243234415144 is an abundant number, since it is smaller than the sum of its proper divisors (301628148236).

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

243234415144 is a wasteful number, since it uses less digits than its factorization.

243234415144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16770218 (or 16770207 counting only the distinct ones).

The product of its digits is 184320, while the sum is 37.

Adding to 243234415144 its reverse (441514432342), we get a palindrome (684748847486).

It can be divided in two parts, 243234 and 415144, that added together give a triangular number (658378 = T1147).

The spelling of 243234415144 in words is "two hundred forty-three billion, two hundred thirty-four million, four hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 392 518 1036 1813 2072 3626 7252 14504 16770161 33540322 67080644 117391127 134161288 234782254 469564508 620495957 821737889 939129016 1240991914 1643475778 2481983828 3286951556 4343471699 4963967656 6573903112 8686943398 17373886796 30404301893 34747773592 60808603786 121617207572 243234415144