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243018434961 = 3273222512
BaseRepresentation
bin1110001001010100000…
…1110000100110010001
3212020021101001121100100
43202111001300212101
512440200204404321
6303350252243013
723362136420511
oct3422501604621
9766241047310
10243018434961
1194077631095
123b122470469
1319bbb83bc13
14ba954d3841
1564c4e42326
hex3895070991

243018434961 has 27 divisors (see below), whose sum is σ = 356059261467. Its totient is φ = 159721956000.

The previous prime is 243018434927. The next prime is 243018434963. The reversal of 243018434961 is 169434810342.

The square root of 243018434961 is 492969.

It is a perfect power (a square), and thus also a powerful number.

243018434961 is a `hidden beast` number, since 2 + 430 + 184 + 34 + 9 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 137949102225 + 105069332736 = 371415^2 + 324144^2 .

It is not a de Polignac number, because 243018434961 - 237 = 105579481489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (243018434963) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 107959086 + ... + 107961336.

Almost surely, 2243018434961 is an apocalyptic number.

243018434961 is the 492969-th square number.

243018434961 is the 246485-th centered octagonal number.

It is an amenable number.

243018434961 is a deficient number, since it is larger than the sum of its proper divisors (113040826506).

243018434961 is an frugal number, since it uses more digits than its factorization.

243018434961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4654 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 243018434961 in words is "two hundred forty-three billion, eighteen million, four hundred thirty-four thousand, nine hundred sixty-one".

Divisors: 1 3 9 73 219 657 2251 5329 6753 15987 20259 47961 164323 492969 1478907 5067001 11995579 15201003 35986737 45603009 107960211 369891073 1109673219 3329019657 27002048329 81006144987 243018434961