Search a number
-
+
404022440240 = 245191090324379
BaseRepresentation
bin1011110000100011001…
…11010011000100110000
31102121212000111111122222
411320101213103010300
523104414221041430
6505334431020212
741122024036016
oct5702147230460
91377760444588
10404022440240
11146388153281
126637636a668
132c139ab8ab3
14157aa4b88b6
15a799b029e5
hex5e119d3130

404022440240 has 80 divisors (see below), whose sum is σ = 988923014400. Its totient is φ = 153082918656.

The previous prime is 404022440231. The next prime is 404022440243. The reversal of 404022440240 is 42044220404.

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

It is not an unprimeable number, because it can be changed into a prime (404022440243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16560371 + ... + 16584749.

It is an arithmetic number, because the mean of its divisors is an integer number (12361537680).

Almost surely, 2404022440240 is an apocalyptic number.

404022440240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404022440240 is an abundant number, since it is smaller than the sum of its proper divisors (584900574160).

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

404022440240 is a wasteful number, since it uses less digits than its factorization.

404022440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35314 (or 35308 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 404022440240 its reverse (42044220404), we get a palindrome (446066660644).

The spelling of 404022440240 in words is "four hundred four billion, twenty-two million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 10903 21806 24379 43612 48758 54515 87224 97516 109030 121895 174448 195032 207157 218060 243790 390064 414314 436120 463201 487580 828628 872240 926402 975160 1035785 1657256 1852804 1950320 2071570 2316005 3314512 3705608 4143140 4632010 7411216 8286280 9264020 16572560 18528040 37056080 265804237 531608474 1063216948 1329021185 2126433896 2658042370 4252867792 5050280503 5316084740 10100561006 10632169480 20201122012 21264338960 25251402515 40402244024 50502805030 80804488048 101005610060 202011220120 404022440240