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2320144241040 = 243253222422557
BaseRepresentation
bin100001110000110011010…
…111111001000110010000
322012210200211201100110200
4201300303113321012100
5301003123411203130
64533505355055200
7326424223440213
oct41606327710620
98183624640420
102320144241040
11814a70a3557a
123157ab741500
1313aa33901422
148041d10377a
1540543dea760
hex21c335f9190

2320144241040 has 60 divisors (see below), whose sum is σ = 7791817745244. Its totient is φ = 618705130752.

The previous prime is 2320144241039. The next prime is 2320144241053. The reversal of 2320144241040 is 401424410232.

2320144241040 is a `hidden beast` number, since 2 + 3 + 201 + 4 + 4 + 2 + 410 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 949081227264 + 1371063013776 = 974208^2 + 1170924^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 2320144240995 and 2320144241013.

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 11 ways as a sum of consecutive naturals, for example, 1611210559 + ... + 1611211998.

Almost surely, 22320144241040 is an apocalyptic number.

2320144241040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2320144241040 is an abundant number, since it is smaller than the sum of its proper divisors (5471673504204).

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

2320144241040 is a wasteful number, since it uses less digits than its factorization.

2320144241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222422576 (or 3222422567 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2320144241040 its reverse (401424410232), we get a palindrome (2721568651272).

The spelling of 2320144241040 in words is "two trillion, three hundred twenty billion, one hundred forty-four million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3222422557 6444845114 9667267671 12889690228 16112112785 19334535342 25779380456 29001803013 32224225570 38669070684 48336338355 51558760912 58003606026 64448451140 77338141368 96672676710 116007212052 128896902280 145009015065 154676282736 193345353420 232014424104 257793804560 290018030130 386690706840 464028848208 580036060260 773381413680 1160072120520 2320144241040