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4104432144 = 243256350627
BaseRepresentation
bin1111010010100100…
…1010101000010000
3101121001012202102100
43310221022220100
531401213312034
61515140120400
7203466045321
oct36451125020
911531182370
104104432144
11181693268a
12966696100
13505457697
142ad17a448
15190503099
hexf4a4aa10

4104432144 has 60 divisors (see below), whose sum is σ = 11507339376. Its totient is φ = 1365686976.

The previous prime is 4104432119. The next prime is 4104432149. The reversal of 4104432144 is 4412344014.

4104432144 is a `hidden beast` number, since 4 + 1 + 0 + 443 + 214 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (4104432149) 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 11 ways as a sum of consecutive naturals, for example, 55759 + ... + 106385.

Almost surely, 24104432144 is an apocalyptic number.

It is an amenable number.

4104432144 is an abundant number, since it is smaller than the sum of its proper divisors (7402907232).

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

4104432144 is a wasteful number, since it uses less digits than its factorization.

4104432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51204 (or 51195 counting only the distinct ones).

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

The square root of 4104432144 is about 64065.8422562289. The cubic root of 4104432144 is about 1601.0971828633.

Adding to 4104432144 its reverse (4412344014), we get a palindrome (8516776158).

The spelling of 4104432144 in words is "four billion, one hundred four million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 563 1126 1689 2252 3378 4504 5067 6756 9008 10134 13512 20268 27024 40536 50627 81072 101254 151881 202508 303762 405016 455643 607524 810032 911286 1215048 1822572 2430096 3645144 7290288 28503001 57006002 85509003 114012004 171018006 228024008 256527009 342036012 456048016 513054018 684072024 1026108036 1368144048 2052216072 4104432144