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4424431044330 = 23251119792258273
BaseRepresentation
bin100000001100010010010…
…1001000000011011101010
3120122222020012120201021200
41000120210221000123222
51034442213321404310
613224320000145030
7634440345234453
oct100304451003352
916588205521250
104424431044330
111456432a861a0
125b5599008176
132612b6b23b0b
141142020a412a
157a15263b9c0
hex40624a406ea

4424431044330 has 96 divisors (see below), whose sum is σ = 12555642116160. Its totient is φ = 1072046883840.

The previous prime is 4424431044317. The next prime is 4424431044401. The reversal of 4424431044330 is 334401344244.

4424431044330 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 4 + 310 + 4 + 4 + 330 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 830074 + ... + 3088346.

It is an arithmetic number, because the mean of its divisors is an integer number (130787938710).

Almost surely, 24424431044330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4424431044330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6277821058080).

4424431044330 is an abundant number, since it is smaller than the sum of its proper divisors (8131211071830).

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

4424431044330 is a wasteful number, since it uses less digits than its factorization.

4424431044330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260276 (or 2260273 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4424431044330 its reverse (334401344244), we get a palindrome (4758832388574).

The spelling of 4424431044330 in words is "four trillion, four hundred twenty-four billion, four hundred thirty-one million, forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1979 3958 5937 9895 11874 17811 19790 21769 29685 35622 43538 59370 65307 89055 108845 130614 178110 195921 217690 326535 391842 653070 979605 1959210 2258273 4516546 6774819 11291365 13549638 20324457 22582730 24841003 33874095 40648914 49682006 67748190 74523009 101622285 124205015 149046018 203244570 223569027 248410030 372615045 447138054 745230090 1117845135 2235690270 4469122267 8938244534 13407366801 22345611335 26814733602 40222100403 44691222670 49160344937 67036834005 80444200806 98320689874 134073668010 147481034811 201110502015 245801724685 294962069622 402221004030 442443104433 491603449370 737405174055 884886208866 1474810348110 2212215522165 4424431044330