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4413044304 = 2432191281571
BaseRepresentation
bin1000001110000100…
…11011011001010000
3102101112220212201100
410013002123121100
533014214404204
62005522504400
7214234154244
oct40702333120
912345825640
104413044304
111965059559
12a31b05100
1355437c426
142dc152424
151ac663a39
hex10709b650

4413044304 has 120 divisors (see below), whose sum is σ = 12481058304. Its totient is φ = 1455552000.

The previous prime is 4413044269. The next prime is 4413044323. The reversal of 4413044304 is 4034403144.

It is a super-3 number, since 3×44130443043 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7728339 + ... + 7728909.

Almost surely, 24413044304 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 4413044304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6240529152).

4413044304 is an abundant number, since it is smaller than the sum of its proper divisors (8068014000).

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

4413044304 is a wasteful number, since it uses less digits than its factorization.

4413044304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4413044304 is about 66430.7481818472. The cubic root of 4413044304 is about 1640.2602581214.

Adding to 4413044304 its reverse (4034403144), we get a palindrome (8447447448).

The spelling of 4413044304 in words is "four billion, four hundred thirteen million, forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 191 281 382 562 571 573 764 843 1124 1142 1146 1528 1686 1713 1719 2248 2284 2292 2529 3056 3372 3426 3438 4496 4568 4584 5058 5139 6744 6852 6876 9136 9168 10116 10278 13488 13704 13752 20232 20556 27408 27504 40464 41112 53671 82224 107342 109061 160451 161013 214684 218122 320902 322026 327183 429368 436244 481353 483039 641804 644052 654366 858736 872488 962706 966078 981549 1283608 1288104 1308732 1444059 1744976 1925412 1932156 1963098 2567216 2576208 2617464 2888118 3850824 3864312 3926196 5234928 5776236 7701648 7728624 7852392 11552472 15704784 23104944 30646141 61292282 91938423 122584564 183876846 245169128 275815269 367753692 490338256 551630538 735507384 1103261076 1471014768 2206522152 4413044304