Search a number
-
+
2402440223304 = 23311471271524569
BaseRepresentation
bin100010111101011100100…
…110001001101001001000
322111200010012010102000210
4202331130212021221020
5303330144144121204
65035355451401120
7335366464650522
oct42753446115110
98450105112023
102402440223304
11846961969060
123297384531a0
1314571a602714
14843c8b82a12
154275dc45389
hex22f5c989a48

2402440223304 has 128 divisors (see below), whose sum is σ = 6744209817600. Its totient is φ = 706911690240.

The previous prime is 2402440223299. The next prime is 2402440223333. The reversal of 2402440223304 is 4033220442042.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 813532 + ... + 2338100.

It is an arithmetic number, because the mean of its divisors is an integer number (52689139200).

Almost surely, 22402440223304 is an apocalyptic number.

2402440223304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2402440223304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372104908800).

2402440223304 is an abundant number, since it is smaller than the sum of its proper divisors (4341769594296).

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

2402440223304 is a wasteful number, since it uses less digits than its factorization.

2402440223304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524763 (or 1524759 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 2402440223304 its reverse (4033220442042), we get a palindrome (6435660665346).

The spelling of 2402440223304 in words is "two trillion, four hundred two billion, four hundred forty million, two hundred twenty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 127 132 141 188 254 264 282 376 381 508 517 564 762 1016 1034 1128 1397 1524 1551 2068 2794 3048 3102 4136 4191 5588 5969 6204 8382 11176 11938 12408 16764 17907 23876 33528 35814 47752 65659 71628 131318 143256 196977 262636 393954 525272 787908 1524569 1575816 3049138 4573707 6098276 9147414 12196552 16770259 18294828 33540518 36589656 50310777 67081036 71654743 100621554 134162072 143309486 193620263 201243108 214964229 286618972 387240526 402486216 429928458 573237944 580860789 774481052 788202173 859856916 1161721578 1548962104 1576404346 1719713832 2129822893 2323443156 2364606519 3152808692 4259645786 4646886312 4729213038 6305617384 6389468679 8519291572 9100152361 9458426076 12778937358 17038583144 18200304722 18916852152 25557874716 27300457083 36400609444 51115749432 54600914166 72801218888 100101675971 109201828332 200203351942 218403656664 300305027913 400406703884 600610055826 800813407768 1201220111652 2402440223304