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4440404444440 = 2351011816072431
BaseRepresentation
bin100000010011101110010…
…1110101100010100011000
3120201111110102100111220011
41000213130232230110120
51040222422014210230
613235521005411304
7635544235010206
oct100473456542430
916644412314804
104440404444440
11146218a603108
125b86b6569b34
13262961225863
14114cb96b0076
157a789b2ae2a
hex409dcbac518

4440404444440 has 64 divisors (see below), whose sum is σ = 10145576488320. Its totient is φ = 1748859840000.

The previous prime is 4440404444431. The next prime is 4440404444453. The reversal of 4440404444440 is 444444040444.

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

It is a junction number, because it is equal to n+sod(n) for n = 4440404444393 and 4440404444402.

It is a congruent number.

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, 2304976 + ... + 3767455.

It is an arithmetic number, because the mean of its divisors is an integer number (158524632630).

Almost surely, 24440404444440 is an apocalyptic number.

4440404444440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4440404444440 is an abundant number, since it is smaller than the sum of its proper divisors (5705172043880).

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

4440404444440 is a wasteful number, since it uses less digits than its factorization.

4440404444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6072724 (or 6072720 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

Adding to 4440404444440 its reverse (444444040444), we get a palindrome (4884848484884).

The spelling of 4440404444440 in words is "four trillion, four hundred forty billion, four hundred four million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 101 181 202 362 404 505 724 808 905 1010 1448 1810 2020 3620 4040 7240 18281 36562 73124 91405 146248 182810 365620 731240 6072431 12144862 24289724 30362155 48579448 60724310 121448620 242897240 613315531 1099110011 1226631062 2198220022 2453262124 3066577655 4396440044 4906524248 5495550055 6133155310 8792880088 10991100110 12266310620 21982200220 24532621240 43964400440 111010111111 222020222222 444040444444 555050555555 888080888888 1110101111110 2220202222220 4440404444440