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4142333412 = 2233719288383
BaseRepresentation
bin1111011011100110…
…1111110111100100
3101200200112100012000
43312321233313210
531440414132122
61523012325300
7204436152540
oct36671576744
911620470160
104142333412
11183626a448
12977313830
13510267b79
142b4204a20
151939dd0ac
hexf6e6fde4

4142333412 has 96 divisors (see below), whose sum is σ = 12919603200. Its totient is φ = 1121229216.

The previous prime is 4142333411. The next prime is 4142333413. The reversal of 4142333412 is 2143332414.

4142333412 is a `hidden beast` number, since 4 + 14 + 233 + 3 + 412 = 666.

It is an interprime number because it is at equal distance from previous prime (4142333411) and next prime (4142333413).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (4142333411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129828 + ... + 158555.

It is an arithmetic number, because the mean of its divisors is an integer number (134579200).

Almost surely, 24142333412 is an apocalyptic number.

4142333412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4142333412 is an abundant number, since it is smaller than the sum of its proper divisors (8777269788).

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

4142333412 is a wasteful number, since it uses less digits than its factorization.

4142333412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288422 (or 288414 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 4142333412 is about 64360.9618635396. The cubic root of 4142333412 is about 1606.0103900897.

Adding to 4142333412 its reverse (2143332414), we get a palindrome (6285665826).

The spelling of 4142333412 in words is "four billion, one hundred forty-two million, three hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2394 3591 4788 7182 14364 288383 576766 865149 1153532 1730298 2018681 2595447 3460596 4037362 5190894 5479277 6056043 7786341 8074724 10381788 10958554 12112086 15572682 16437831 18168129 21917108 24224172 31145364 32875662 36336258 38354939 49313493 54504387 65751324 72672516 76709878 98626986 109008774 115064817 147940479 153419756 197253972 218017548 230129634 295880958 345194451 460259268 591761916 690388902 1035583353 1380777804 2071166706 4142333412