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4234441120 = 255713290827
BaseRepresentation
bin1111110001100100…
…0111000110100000
3101221002211220012121
43330121013012200
532133004103440
61540102434024
7206635104250
oct37431070640
911832756177
104234441120
111883260318
129a2132914
13526377280
142c253d960
1519bb3434a
hexfc6471a0

4234441120 has 96 divisors (see below), whose sum is σ = 12312494208. Its totient is φ = 1340126208.

The previous prime is 4234441117. The next prime is 4234441157. The reversal of 4234441120 is 211444324.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130854 + ... + 159973.

It is an arithmetic number, because the mean of its divisors is an integer number (128255148).

Almost surely, 24234441120 is an apocalyptic number.

4234441120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4234441120 is an abundant number, since it is smaller than the sum of its proper divisors (8078053088).

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

4234441120 is a wasteful number, since it uses less digits than its factorization.

4234441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290862 (or 290854 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4234441120 is about 65072.5834741483. The cubic root of 4234441120 is about 1617.8268274709.

Adding to 4234441120 its reverse (211444324), we get a palindrome (4445885444).

The spelling of 4234441120 in words is "four billion, two hundred thirty-four million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 7280 14560 290827 581654 1163308 1454135 2035789 2326616 2908270 3780751 4071578 4653232 5816540 7561502 8143156 9306464 10178945 11633080 15123004 16286312 18903755 20357890 23266160 26465257 30246008 32572624 37807510 40715780 46532320 52930514 60492016 65145248 75615020 81431560 105861028 120984032 132326285 151230040 162863120 211722056 264652570 302460080 325726240 423444112 529305140 604920160 846888224 1058610280 2117220560 4234441120