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4434214240 = 25527713839
BaseRepresentation
bin1000010000100110…
…01011110101100000
3102110000202102102001
410020103023311200
533040124323430
62012000333344
7214612125211
oct41023136540
912400672361
104434214240
111975aa8875
12a39014254
13558882211
14300ca3408
151ae4463ca
hex1084cbd60

4434214240 has 24 divisors (see below), whose sum is σ = 10475831520. Its totient is φ = 1773685632.

The previous prime is 4434214219. The next prime is 4434214277. The reversal of 4434214240 is 424124344.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 4434214199 and 4434214208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13856760 + ... + 13857079.

It is an arithmetic number, because the mean of its divisors is an integer number (436492980).

Almost surely, 24434214240 is an apocalyptic number.

4434214240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4434214240 is an abundant number, since it is smaller than the sum of its proper divisors (6041617280).

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

4434214240 is a wasteful number, since it uses less digits than its factorization.

4434214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27713854 (or 27713846 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 4434214240 is about 66589.8959302385. The cubic root of 4434214240 is about 1642.8789210616.

Adding to 4434214240 its reverse (424124344), we get a palindrome (4858338584).

The spelling of 4434214240 in words is "four billion, four hundred thirty-four million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 27713839 55427678 110855356 138569195 221710712 277138390 443421424 554276780 886842848 1108553560 2217107120 4434214240