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4115441412144 = 243228579454251
BaseRepresentation
bin111011111000110011011…
…011000110100000110000
3112120102200012002001111100
4323320303123012200300
51014411411000142034
612430335132044400
7603221321551656
oct73706333064060
915512605061440
104115441412144
11134739242a207
12565725003700
1323b11373502a
1410328d088dd6
15720bab4d099
hex3be336c6830

4115441412144 has 30 divisors (see below), whose sum is σ = 11517520063556. Its totient is φ = 1371813804000.

The previous prime is 4115441412143. The next prime is 4115441412193. The reversal of 4115441412144 is 4412141445114.

It is a happy number.

4115441412144 is a `hidden beast` number, since 4 + 11 + 54 + 41 + 412 + 144 = 666.

4115441412144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 4115441412099 and 4115441412108.

It is not an unprimeable number, because it can be changed into a prime (4115441412143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14289726982 + ... + 14289727269.

Almost surely, 24115441412144 is an apocalyptic number.

It is an amenable number.

4115441412144 is an abundant number, since it is smaller than the sum of its proper divisors (7402078651412).

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

4115441412144 is a wasteful number, since it uses less digits than its factorization.

4115441412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28579454265 (or 28579454256 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

Adding to 4115441412144 its reverse (4412141445114), we get a palindrome (8527582857258).

The spelling of 4115441412144 in words is "four trillion, one hundred fifteen billion, four hundred forty-one million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 28579454251 57158908502 85738362753 114317817004 171476725506 228635634008 257215088259 342953451012 457271268016 514430176518 685906902024 1028860353036 1371813804048 2057720706072 4115441412144