Search a number
-
+
404444040880 = 24511766959929
BaseRepresentation
bin1011110001010101011…
…11100100111010110000
31102122221101211001000111
411320222233210322300
523111300133302010
6505444331231104
741135333424265
oct5705257447260
91378841731014
10404444040880
11146584132060
12664735a8494
132c1a6251229
141580a4a326c
15a7c1b3158a
hex5e2abe4eb0

404444040880 has 80 divisors (see below), whose sum is σ = 1025968039200. Its totient is φ = 147048929280.

The previous prime is 404444040877. The next prime is 404444040893. The reversal of 404444040880 is 88040444404.

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

It is a super-2 number, since 2×4044440408802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 6718756 + ... + 6778684.

It is an arithmetic number, because the mean of its divisors is an integer number (12824600490).

Almost surely, 2404444040880 is an apocalyptic number.

404444040880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404444040880 is an abundant number, since it is smaller than the sum of its proper divisors (621523998320).

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

404444040880 is a wasteful number, since it uses less digits than its factorization.

404444040880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67622 (or 67616 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 404444040880 in words is "four hundred four billion, four hundred forty-four million, forty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 7669 15338 30676 38345 59929 61352 76690 84359 119858 122704 153380 168718 239716 299645 306760 337436 421795 479432 599290 613520 659219 674872 843590 958864 1198580 1318438 1349744 1687180 2397160 2636876 3296095 3374360 4794320 5273752 6592190 6748720 10547504 13184380 26368760 52737520 459595501 919191002 1838382004 2297977505 3676764008 4595955010 5055550511 7353528016 9191910020 10111101022 18383820040 20222202044 25277752555 36767640080 40444404088 50555505110 80888808176 101111010220 202222020440 404444040880