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4234410144324 = 2232117622504009
BaseRepresentation
bin111101100111100110100…
…000110011001001000100
3112222210202022201211111100
4331213212200303021010
51023334032444104244
613001132224540100
7614632426234443
oct75474640631104
915883668654440
104234410144324
111392892154578
125847a7481630
132493c3085149
14108d37464d5a
15752302e7b69
hex3d9e6833244

4234410144324 has 18 divisors (see below), whose sum is σ = 10703647864910. Its totient is φ = 1411470048096.

The previous prime is 4234410144221. The next prime is 4234410144421.

4234410144324 is a `hidden beast` number, since 4 + 234 + 410 + 1 + 4 + 4 + 3 + 2 + 4 = 666.

4234410144324 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 3122882740224 + 1111527404100 = 1767168^2 + 1054290^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 117622504009 = 4234410144324 / (4 + 2 + 3 + 4 + 4 + 1 + 0 + 1 + 4 + 4 + 3 + 2 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58811251969 + ... + 58811252040.

Almost surely, 24234410144324 is an apocalyptic number.

It is an amenable number.

4234410144324 is an abundant number, since it is smaller than the sum of its proper divisors (6469237720586).

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

4234410144324 is a wasteful number, since it uses less digits than its factorization.

4234410144324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117622504019 (or 117622504014 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 4234410 and 144324, that added together give a palindrome (4378734).

The spelling of 4234410144324 in words is "four trillion, two hundred thirty-four billion, four hundred ten million, one hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 117622504009 235245008018 352867512027 470490016036 705735024054 1058602536081 1411470048108 2117205072162 4234410144324