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4040042424 = 2331115303191
BaseRepresentation
bin1111000011001110…
…0010011110111000
3101102120001102022220
43300303202132320
531233222324144
61504520044040
7202054536225
oct36063423670
911376042286
104040042424
111793553740
12949003620
134c5001662
142a47b894c
15189a34919
hexf0ce27b8

4040042424 has 32 divisors (see below), whose sum is σ = 11018298240. Its totient is φ = 1224255200.

The previous prime is 4040042423. The next prime is 4040042429. The reversal of 4040042424 is 4242400404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4040042394 and 4040042403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040042423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7651332 + ... + 7651859.

It is an arithmetic number, because the mean of its divisors is an integer number (344321820).

Almost surely, 24040042424 is an apocalyptic number.

4040042424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4040042424 is an abundant number, since it is smaller than the sum of its proper divisors (6978255816).

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

4040042424 is a wasteful number, since it uses less digits than its factorization.

4040042424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15303211 (or 15303207 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4040042424 is about 63561.3280540928. The cubic root of 4040042424 is about 1592.6804232259.

Adding to 4040042424 its reverse (4242400404), we get a palindrome (8282442828).

The spelling of 4040042424 in words is "four billion, forty million, forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 15303191 30606382 45909573 61212764 91819146 122425528 168335101 183638292 336670202 367276584 505005303 673340404 1010010606 1346680808 2020021212 4040042424