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2441344340240 = 245132579134033
BaseRepresentation
bin100011100001101011011…
…101100101000100010000
322122101112111002022120122
4203201223131211010100
5304444333122341430
65105312121525412
7341244534333131
oct43415335450420
98571474068518
102441344340240
11861406263a13
12335195343868
131492aa616160
14862399a3c88
154378940aee5
hex2386b765110

2441344340240 has 80 divisors (see below), whose sum is σ = 6136536330288. Its totient is φ = 897911881728.

The previous prime is 2441344340219. The next prime is 2441344340243. The reversal of 2441344340240 is 420434431442.

It can be written as a sum of positive squares in 8 ways, for example, as 165434173696 + 2275910166544 = 406736^2 + 1508612^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2441344340240.

It is not an unprimeable number, because it can be changed into a prime (2441344340243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4299737 + ... + 4834296.

Almost surely, 22441344340240 is an apocalyptic number.

2441344340240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2441344340240 is an abundant number, since it is smaller than the sum of its proper divisors (3695191990048).

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

2441344340240 is a wasteful number, since it uses less digits than its factorization.

2441344340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9134316 (or 9134310 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 2441344340240 its reverse (420434431442), we get a palindrome (2861778771682).

The spelling of 2441344340240 in words is "two trillion, four hundred forty-one billion, three hundred forty-four million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 257 260 514 520 1028 1040 1285 2056 2570 3341 4112 5140 6682 10280 13364 16705 20560 26728 33410 53456 66820 133640 267280 9134033 18268066 36536132 45670165 73072264 91340330 118742429 146144528 182680660 237484858 365361320 474969716 593712145 730722640 949939432 1187424290 1899878864 2347446481 2374848580 4694892962 4749697160 9389785924 9499394320 11737232405 18779571848 23474464810 30516804253 37559143696 46948929620 61033608506 93897859240 122067217012 152584021265 187795718480 244134434024 305168042530 488268868048 610336085060 1220672170120 2441344340240