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4431420120 = 2335231605587
BaseRepresentation
bin1000010000010001…
…00001101011011000
3102102211111110121010
410020020201223120
533033420420440
62011420413520
7214546310121
oct41010415330
912384443533
104431420120
11197446a586
12a380a72a0
135581144aa
14300777048
151ae093580
hex108221ad8

4431420120 has 64 divisors (see below), whose sum is σ = 13872280320. Its totient is φ = 1130332544.

The previous prime is 4431420079. The next prime is 4431420127. The reversal of 4431420120 is 210241344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431420127) by changing a digit.

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, 800034 + ... + 805553.

It is an arithmetic number, because the mean of its divisors is an integer number (216754380).

Almost surely, 24431420120 is an apocalyptic number.

4431420120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4431420120 is an abundant number, since it is smaller than the sum of its proper divisors (9440860200).

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

4431420120 is a wasteful number, since it uses less digits than its factorization.

4431420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605624 (or 1605620 counting only the distinct ones).

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

The square root of 4431420120 is about 66568.9125643494. The cubic root of 4431420120 is about 1642.5337742013.

Adding to 4431420120 its reverse (210241344), we get a palindrome (4641661464).

The spelling of 4431420120 in words is "four billion, four hundred thirty-one million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 1605587 3211174 4816761 6422348 8027935 9633522 12844696 16055870 19267044 24083805 32111740 36928501 38534088 48167610 64223480 73857002 96335220 110785503 147714004 184642505 192670440 221571006 295428008 369285010 443142012 553927515 738570020 886284024 1107855030 1477140040 2215710060 4431420120