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2241441231440 = 245101277406093
BaseRepresentation
bin100000100111100000010…
…011101111001001010000
321221021112220010012211012
4200213200103233021100
5243210432423401230
64433412012310052
7320640001052555
oct40474023571120
97837486105735
102241441231440
11794654160594
123024a6172328
131334a03bc768
147a6b4704a2c
153d489725395
hex209e04ef250

2241441231440 has 40 divisors (see below), whose sum is σ = 5262948415368. Its totient is φ = 887699494400.

The previous prime is 2241441231433. The next prime is 2241441231479. The reversal of 2241441231440 is 441321441422.

It can be written as a sum of positive squares in 4 ways, for example, as 580363617856 + 1661077613584 = 761816^2 + 1288828^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2241441231397 and 2241441231406.

It is a congruent number.

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, 138694967 + ... + 138711126.

Almost surely, 22241441231440 is an apocalyptic number.

2241441231440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241441231440 is an abundant number, since it is smaller than the sum of its proper divisors (3021507183928).

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

2241441231440 is a wasteful number, since it uses less digits than its factorization.

2241441231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277406207 (or 277406201 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 2241441231440 its reverse (441321441422), we get a palindrome (2682762672862).

The spelling of 2241441231440 in words is "two trillion, two hundred forty-one billion, four hundred forty-one million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 277406093 554812186 1109624372 1387030465 2219248744 2774060930 4438497488 5548121860 11096243720 22192487440 28018015393 56036030786 112072061572 140090076965 224144123144 280180153930 448288246288 560360307860 1120720615720 2241441231440