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2240420013 = 331343791879
BaseRepresentation
bin1000010110001010…
…0001100010101101
312210010202010111000
42011202201202231
514042021420023
61010151550513
7106343153526
oct20542414255
95703663430
102240420013
11a4a727797
1252638b439
13299214420
1417379d84d
15d1a53243
hex858a18ad

2240420013 has 64 divisors (see below), whose sum is σ = 3705856000. Its totient is φ = 1328902848.

The previous prime is 2240420011. The next prime is 2240420023. The reversal of 2240420013 is 3100240422.

2240420013 is a `hidden beast` number, since 2 + 240 + 420 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 2240420013 - 21 = 2240420011 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240420011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1191408 + ... + 1193286.

It is an arithmetic number, because the mean of its divisors is an integer number (57904000).

Almost surely, 22240420013 is an apocalyptic number.

It is an amenable number.

2240420013 is a deficient number, since it is larger than the sum of its proper divisors (1465435987).

2240420013 is a wasteful number, since it uses less digits than its factorization.

2240420013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2240420013 is about 47333.0752539913. The cubic root of 2240420013 is about 1308.5082981535.

Adding to 2240420013 its reverse (3100240422), we get a palindrome (5340660435).

The spelling of 2240420013 in words is "two billion, two hundred forty million, four hundred twenty thousand, thirteen".

Divisors: 1 3 9 13 27 39 43 79 117 129 237 351 387 559 711 1027 1161 1677 1879 2133 3081 3397 5031 5637 9243 10191 15093 16911 24427 27729 30573 44161 50733 73281 80797 91719 132483 148441 219843 242391 397449 445323 659529 727173 1050361 1192347 1335969 1929733 2181519 3151083 4007907 5789199 6382963 9453249 17367597 19148889 28359747 52102791 57446667 82978519 172340001 248935557 746806671 2240420013