Search a number
-
+
2404121104 = 2472111132467
BaseRepresentation
bin1000111101001011…
…1111101000010000
320012112210000011101
42033102333220100
514410423333404
61034320354144
7113401456300
oct21722775020
96175700141
102404121104
111024077850
12571175954
132c40cc688
1418b413600
15e10dc2a4
hex8f4bfa10

2404121104 has 120 divisors (see below), whose sum is σ = 5965787808. Its totient is φ = 928005120.

The previous prime is 2404121077. The next prime is 2404121143. The reversal of 2404121104 is 4011214042.

2404121104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 973279 + ... + 975745.

Almost surely, 22404121104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2404121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982893904).

2404121104 is an abundant number, since it is smaller than the sum of its proper divisors (3561666704).

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

2404121104 is a wasteful number, since it uses less digits than its factorization.

2404121104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2404121104 is about 49031.8376567715. The cubic root of 2404121104 is about 1339.6317960648.

Adding to 2404121104 its reverse (4011214042), we get a palindrome (6415335146).

The spelling of 2404121104 in words is "two billion, four hundred four million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 113 154 176 196 226 308 392 452 539 616 784 791 904 1078 1232 1243 1582 1808 2156 2467 2486 3164 4312 4934 4972 5537 6328 8624 8701 9868 9944 11074 12656 17269 17402 19736 19888 22148 27137 34538 34804 39472 44296 54274 60907 69076 69608 88592 108548 120883 121814 138152 139216 189959 217096 241766 243628 276304 278771 379918 434192 483532 487256 557542 759836 967064 974512 1115084 1329713 1519672 1934128 1951397 2230168 2659426 3039344 3066481 3902794 4460336 5318852 6132962 7805588 10637704 12265924 13659779 15611176 21275408 21465367 24531848 27319558 31222352 42930734 49063696 54639116 85861468 109278232 150257569 171722936 218556464 300515138 343445872 601030276 1202060552 2404121104