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4114331144424 = 233257143488117
BaseRepresentation
bin111011110111110001001…
…111110001000011101000
3112120022210210220121111200
4323313301033301003220
51014402122233110144
612430033031124200
7603151650462564
oct73676117610350
915508723817450
104114331144424
111346972741686
12565475213660
1323ac976ca997
141031c58366a4
1572053439c69
hex3bdf13f10e8

4114331144424 has 24 divisors (see below), whose sum is σ = 11142980183010. Its totient is φ = 1371443714784.

The previous prime is 4114331144389. The next prime is 4114331144437. The reversal of 4114331144424 is 4244411334114.

4114331144424 is a `hidden beast` number, since 4 + 114 + 3 + 3 + 114 + 4 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3054909708900 + 1059421435524 = 1747830^2 + 1029282^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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, 28571743987 + ... + 28571744130.

Almost surely, 24114331144424 is an apocalyptic number.

It is an amenable number.

4114331144424 is an abundant number, since it is smaller than the sum of its proper divisors (7028649038586).

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

4114331144424 is a wasteful number, since it uses less digits than its factorization.

4114331144424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57143488129 (or 57143488122 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 4114331144424 its reverse (4244411334114), we get a palindrome (8358742478538).

The spelling of 4114331144424 in words is "four trillion, one hundred fourteen billion, three hundred thirty-one million, one hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 57143488117 114286976234 171430464351 228573952468 342860928702 457147904936 514291393053 685721857404 1028582786106 1371443714808 2057165572212 4114331144424