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4442313320 = 235853713009
BaseRepresentation
bin1000010001100100…
…00101001001101000
3102110120222220020222
410020302011021220
533044213011240
62012450105212
7215041016534
oct41062051150
912416886228
104442313320
11197a62a825
12a3b87b208
1355a459783
14301db0bc4
151aeee5eb5
hex108c85268

4442313320 has 32 divisors (see below), whose sum is σ = 9997144200. Its totient is φ = 1776580608.

The previous prime is 4442313319. The next prime is 4442313353. The reversal of 4442313320 is 233132444.

It can be written as a sum of positive squares in 4 ways, for example, as 3748623076 + 693690244 = 61226^2 + 26338^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4442313320.

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 7 ways as a sum of consecutive naturals, for example, 334976 + ... + 347984.

Almost surely, 24442313320 is an apocalyptic number.

4442313320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4442313320 is an abundant number, since it is smaller than the sum of its proper divisors (5554830880).

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

4442313320 is a wasteful number, since it uses less digits than its factorization.

4442313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21557 (or 21553 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 4442313320 is about 66650.6813168478. The cubic root of 4442313320 is about 1643.8785506310.

Adding to 4442313320 its reverse (233132444), we get a palindrome (4675445764).

The spelling of 4442313320 in words is "four billion, four hundred forty-two million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 8537 13009 17074 26018 34148 42685 52036 65045 68296 85370 104072 130090 170740 260180 341480 520360 111057833 222115666 444231332 555289165 888462664 1110578330 2221156660 4442313320