Search a number
-
+
404242020240 = 243510116676651
BaseRepresentation
bin1011110000111101011…
…00111011011110010000
31102122102022200022210120
411320132230323132100
523110341424121430
6505412313230240
741130331322652
oct5703654733620
91378368608716
10404242020240
11146490099a53
1266417a02380
132c17343a2a6
14157cb7166d2
15a7ae028610
hex5e1eb3b790

404242020240 has 80 divisors (see below), whose sum is σ = 1265557766976. Its totient is φ = 106730560000.

The previous prime is 404242020197. The next prime is 404242020271. The reversal of 404242020240 is 42020242404.

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

It is a super-2 number, since 2×4042420202402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 404242020240.

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, 8314086 + ... + 8362565.

Almost surely, 2404242020240 is an apocalyptic number.

404242020240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404242020240 is an abundant number, since it is smaller than the sum of its proper divisors (861315746736).

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

404242020240 is a wasteful number, since it uses less digits than its factorization.

404242020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16676768 (or 16676762 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 404242020240 its reverse (42020242404), we get a palindrome (446262262644).

The spelling of 404242020240 in words is "four hundred four billion, two hundred forty-two million, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 6060 8080 12120 24240 16676651 33353302 50029953 66706604 83383255 100059906 133413208 166766510 200119812 250149765 266826416 333533020 400239624 500299530 667066040 800479248 1000599060 1334132080 1684341751 2001198120 3368683502 4002396240 5053025253 6737367004 8421708755 10106050506 13474734008 16843417510 20212101012 25265126265 26949468016 33686835020 40424202024 50530252530 67373670040 80848404048 101060505060 134747340080 202121010120 404242020240