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441043104 = 25317535099
BaseRepresentation
bin11010010010011…
…100100010100000
31010201220022101210
4122102130202200
51400401334404
6111433030120
713633542645
oct3222344240
91121808353
10441043104
11206a59237
12103855340
13704b1b68
1442809dcc
1528abe689
hex1a49c8a0

441043104 has 96 divisors (see below), whose sum is σ = 1249214400. Its totient is φ = 135729152.

The previous prime is 441043093. The next prime is 441043117. The reversal of 441043104 is 401340144.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83947 + ... + 89045.

It is an arithmetic number, because the mean of its divisors is an integer number (13012650).

Almost surely, 2441043104 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 441043104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624607200).

441043104 is an abundant number, since it is smaller than the sum of its proper divisors (808171296).

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

441043104 is a wasteful number, since it uses less digits than its factorization.

441043104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5182 (or 5174 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 441043104 is about 21001.0262606378. The cubic root of 441043104 is about 761.1910594706.

Adding to 441043104 its reverse (401340144), we get a palindrome (842383248).

The spelling of 441043104 in words is "four hundred forty-one million, forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 68 96 102 106 136 159 204 212 272 318 408 424 544 636 816 848 901 1272 1632 1696 1802 2544 2703 3604 5088 5099 5406 7208 10198 10812 14416 15297 20396 21624 28832 30594 40792 43248 61188 81584 86496 86683 122376 163168 173366 244752 260049 270247 346732 489504 520098 540494 693464 810741 1040196 1080988 1386928 1621482 2080392 2161976 2773856 3242964 4160784 4323952 4594199 6485928 8321568 8647904 9188398 12971856 13782597 18376796 25943712 27565194 36753592 55130388 73507184 110260776 147014368 220521552 441043104