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4040444004 = 22373131137257
BaseRepresentation
bin1111000011010100…
…0100100001100100
3101102120210211012020
43300311010201210
531233323202004
61504532423140
7202061131062
oct36065044144
911376724166
104040444004
1117937a8423
12949177ab0
134c511238c
142a4881032
15189ab38d9
hexf0d44864

4040444004 has 96 divisors (see below), whose sum is σ = 9737836416. Its totient is φ = 1303511040.

The previous prime is 4040444003. The next prime is 4040444011. The reversal of 4040444004 is 4004440404.

It is not an unprimeable number, because it can be changed into a prime (4040444003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15721444 + ... + 15721700.

It is an arithmetic number, because the mean of its divisors is an integer number (101435796).

Almost surely, 24040444004 is an apocalyptic number.

It is an amenable number.

4040444004 is an abundant number, since it is smaller than the sum of its proper divisors (5697392412).

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

4040444004 is a wasteful number, since it uses less digits than its factorization.

4040444004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 603 counting only the distinct ones).

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

The square root of 4040444004 is about 63564.4869718934. The cubic root of 4040444004 is about 1592.7331922604.

Adding to 4040444004 its reverse (4004440404), we get a palindrome (8044884408).

The spelling of 4040444004 in words is "four billion, forty million, four hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 12 73 131 137 146 219 257 262 274 292 393 411 438 514 524 548 771 786 822 876 1028 1542 1572 1644 3084 9563 10001 17947 18761 19126 20002 28689 30003 33667 35209 35894 37522 38252 40004 53841 56283 57378 60006 67334 70418 71788 75044 101001 105627 107682 112566 114756 120012 134668 140836 202002 211254 215364 225132 404004 422508 1310131 2457691 2570257 2620262 3930393 4612379 4915382 5140514 5240524 7373073 7710771 7860786 9224758 9830764 10281028 13837137 14746146 15421542 15721572 18449516 27674274 29492292 30843084 55348548 336703667 673407334 1010111001 1346814668 2020222002 4040444004