Search a number
-
+
404222402440 = 23559439390161
BaseRepresentation
bin1011110000111011000…
…10000101111110001000
31102122100221202122020101
411320131202011332020
523110321413334230
6505410332535144
741130002505133
oct5703542057610
91378327678211
10404222402440
1114648000a89a
12664113214b4
132c16c35bb1c
14157c8c8b21a
15a7ac450aca
hex5e1d885f88

404222402440 has 64 divisors (see below), whose sum is σ = 927024912000. Its totient is φ = 158585994240.

The previous prime is 404222402431. The next prime is 404222402531. The reversal of 404222402440 is 44204222404.

It is a junction number, because it is equal to n+sod(n) for n = 404222402399 and 404222402408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840960 + ... + 1231120.

It is an arithmetic number, because the mean of its divisors is an integer number (14484764250).

Almost surely, 2404222402440 is an apocalyptic number.

404222402440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404222402440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463512456000).

404222402440 is an abundant number, since it is smaller than the sum of its proper divisors (522802509560).

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

404222402440 is a wasteful number, since it uses less digits than its factorization.

404222402440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390670 (or 390666 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 404222402440 its reverse (44204222404), we get a palindrome (448426624844).

The spelling of 404222402440 in words is "four hundred four billion, two hundred twenty-two million, four hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 439 472 590 878 1180 1756 2195 2360 3512 4390 8780 17560 25901 51802 103604 129505 207208 259010 390161 518020 780322 1036040 1560644 1950805 3121288 3901610 7803220 15606440 23019499 46038998 92077996 115097495 171280679 184155992 230194990 342561358 460389980 685122716 856403395 920779960 1370245432 1712806790 3425613580 6851227160 10105560061 20211120122 40422240244 50527800305 80844480488 101055600610 202111201220 404222402440