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4000042431 = 3272111943399
BaseRepresentation
bin1110111001101011…
…1100110110111111
3101022202210012122200
43232122330312333
531143002324211
61500530442543
7201060541200
oct35632746677
911282705580
104000042431
111772a130a0
12937733453
134b9937b18
1429d3655a7
15186282b56
hexee6bcdbf

4000042431 has 72 divisors (see below), whose sum is σ = 7718256000. Its totient is φ = 1968533280.

The previous prime is 4000042399. The next prime is 4000042439. The reversal of 4000042431 is 1342400004.

It is not a de Polignac number, because 4000042431 - 25 = 4000042399 is a prime.

It is a super-2 number, since 2×40000424312 = 32000678899600779522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000042439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70470 + ... + 113868.

It is an arithmetic number, because the mean of its divisors is an integer number (107198000).

Almost surely, 24000042431 is an apocalyptic number.

4000042431 is a deficient number, since it is larger than the sum of its proper divisors (3718213569).

4000042431 is a wasteful number, since it uses less digits than its factorization.

4000042431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43449 (or 43439 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4000042431 is about 63245.8886489865. Note that the first 3 decimals coincide. The cubic root of 4000042431 is about 1587.4066648662.

Adding to 4000042431 its reverse (1342400004), we get a palindrome (5342442435).

The spelling of 4000042431 in words is "four billion, forty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 9 11 19 21 33 49 57 63 77 99 133 147 171 209 231 399 441 539 627 693 931 1197 1463 1617 1881 2793 4389 4851 8379 10241 13167 30723 43399 92169 130197 303793 390591 477389 824581 911379 1432167 2126551 2473743 2734137 3341723 4296501 5772067 6379653 7421229 9070391 10025169 17316201 19138959 23392061 27211173 30075507 40404469 51948603 63492737 70176183 81633519 121213407 190478211 210528549 363640221 444449159 571434633 1333347477 4000042431