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444444330440 = 23511291827341
BaseRepresentation
bin1100111011110101111…
…00100100100111001000
31120111012002102021201102
412131322330210213020
524240210222033230
6540101440240532
744052513322265
oct6357274444710
91514162367642
10444444330440
11161540268700
1272177610148
1332bac3a5516
1417722b0826c
15b863674045
hex677af249c8

444444330440 has 48 divisors (see below), whose sum is σ = 1099173283740. Its totient is φ = 161616118400.

The previous prime is 444444330433. The next prime is 444444330457. The reversal of 444444330440 is 44033444444.

It can be written as a sum of positive squares in 2 ways, for example, as 433482659236 + 10961671204 = 658394^2 + 104698^2 .

It is a junction number, because it is equal to n+sod(n) for n = 444444330394 and 444444330403.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45908831 + ... + 45918510.

Almost surely, 2444444330440 is an apocalyptic number.

444444330440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444444330440 is an abundant number, since it is smaller than the sum of its proper divisors (654728953300).

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

444444330440 is a wasteful number, since it uses less digits than its factorization.

444444330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91827374 (or 91827359 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 38.

Adding to 444444330440 its reverse (44033444444), we get a palindrome (488477774884).

The spelling of 444444330440 in words is "four hundred forty-four billion, four hundred forty-four million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 91827341 183654682 367309364 459136705 734618728 918273410 1010100751 1836546820 2020201502 3673093640 4040403004 5050503755 8080806008 10101007510 11111108261 20202015020 22222216522 40404030040 44444433044 55555541305 88888866088 111111082610 222222165220 444444330440