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4144042134 = 23439476481
BaseRepresentation
bin1111011100000001…
…0001000010010110
3101200210202011010000
43313000101002112
531441333322014
61523113112130
7204456530331
oct36700210226
911623664100
104144042134
111837227211
129779b8646
1351071584b
142b452b618
15193c29509
hexf7011096

4144042134 has 40 divisors (see below), whose sum is σ = 9289509768. Its totient is φ = 1380784320.

The previous prime is 4144042127. The next prime is 4144042151. The reversal of 4144042134 is 4312404414.

4144042134 is a `hidden beast` number, since 4 + 1 + 440 + 4 + 213 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4144042098 and 4144042107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 636174 + ... + 642654.

Almost surely, 24144042134 is an apocalyptic number.

4144042134 is an abundant number, since it is smaller than the sum of its proper divisors (5145467634).

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

4144042134 is a wasteful number, since it uses less digits than its factorization.

4144042134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10442 (or 10433 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4144042134 is about 64374.2350168140. The cubic root of 4144042134 is about 1606.2311873848.

Adding to 4144042134 its reverse (4312404414), we get a palindrome (8456446548).

The spelling of 4144042134 in words is "four billion, one hundred forty-four million, forty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 3947 6481 7894 11841 12962 19443 23682 35523 38886 58329 71046 106569 116658 174987 213138 319707 349974 524961 639414 1049922 25580507 51161014 76741521 153483042 230224563 460449126 690673689 1381347378 2072021067 4144042134