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4434043120 = 245139674409
BaseRepresentation
bin1000010000100101…
…00010000011110000
3102110000102201200021
410020102202003300
533040103334440
62011552533224
7214610513263
oct41022420360
912400381607
104434043120
1119759a1251
12a38b51214
13558822370
14300c5acda
151ae41084a
hex1084a20f0

4434043120 has 80 divisors (see below), whose sum is σ = 11116163520. Its totient is φ = 1635121152.

The previous prime is 4434043087. The next prime is 4434043157. The reversal of 4434043120 is 213404344.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 1003476 + ... + 1007884.

It is an arithmetic number, because the mean of its divisors is an integer number (138952044).

Almost surely, 24434043120 is an apocalyptic number.

4434043120 is a gapful number since it is divisible by the number (40) 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 4434043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5558081760).

4434043120 is an abundant number, since it is smaller than the sum of its proper divisors (6682120400).

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

4434043120 is a wasteful number, since it uses less digits than its factorization.

4434043120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5402 (or 5396 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4434043120 is about 66588.6110382248. The cubic root of 4434043120 is about 1642.8577874370.

Adding to 4434043120 its reverse (213404344), we get a palindrome (4647447464).

The spelling of 4434043120 in words is "four billion, four hundred thirty-four million, forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 967 1040 1934 3868 4409 4835 7736 8818 9670 12571 15472 17636 19340 22045 25142 35272 38680 44090 50284 57317 62855 70544 77360 88180 100568 114634 125710 176360 201136 229268 251420 286585 352720 458536 502840 573170 917072 1005680 1146340 2292680 4263503 4585360 8527006 17054012 21317515 34108024 42635030 55425539 68216048 85270060 110851078 170540120 221702156 277127695 341080240 443404312 554255390 886808624 1108510780 2217021560 4434043120