Search a number
-
+
4405214433440 = 255271310148393
BaseRepresentation
bin100000000011010101100…
…1111011101000010100000
3120121010121222010201212102
41000012223033131002200
51034133334343332230
613211421053345532
7633160214602022
oct100065317350240
916533558121772
104405214433440
111449271781a97
125b19154982a8
1325c543834442
141132dbc62012
15798ca566045
hex401ab3dd0a0

4405214433440 has 48 divisors (see below), whose sum is σ = 10411156217448. Its totient is φ = 1761436102656.

The previous prime is 4405214433439. The next prime is 4405214433497. The reversal of 4405214433440 is 443344125044.

It can be written as a sum of positive squares in 4 ways, for example, as 4357556050576 + 47658382864 = 2087476^2 + 218308^2 .

It is a super-3 number, since 3×44052144334403 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4405214433394 and 4405214433403.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4640117 + ... + 5508276.

Almost surely, 24405214433440 is an apocalyptic number.

4405214433440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4405214433440 is an abundant number, since it is smaller than the sum of its proper divisors (6005941784008).

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

4405214433440 is a wasteful number, since it uses less digits than its factorization.

4405214433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10151121 (or 10151113 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 38.

Adding to 4405214433440 its reverse (443344125044), we get a palindrome (4848558558484).

The spelling of 4405214433440 in words is "four trillion, four hundred five billion, two hundred fourteen million, four hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2713 5426 10852 13565 21704 27130 43408 54260 86816 108520 217040 434080 10148393 20296786 40593572 50741965 81187144 101483930 162374288 202967860 324748576 405935720 811871440 1623742880 27532590209 55065180418 110130360836 137662951045 220260721672 275325902090 440521443344 550651804180 881042886688 1101303608360 2202607216720 4405214433440