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2444022401013 = 321727589123817
BaseRepresentation
bin100011100100001011000…
…101100100011111110101
322122122110010022220022200
4203210023011210133311
5310020324213313023
65110433550015113
7341401103432364
oct43441305443765
98578403286280
102444022401013
1186255aa25686
123358021a7499
131496163ba8bb
14864115257db
15438945aa743
hex2390b1647f5

2444022401013 has 36 divisors (see below), whose sum is σ = 3750656472420. Its totient is φ = 1533289798656.

The previous prime is 2444022400987. The next prime is 2444022401027. The reversal of 2444022401013 is 3101042204442.

2444022401013 is a `hidden beast` number, since 2 + 4 + 4 + 402 + 240 + 1 + 0 + 13 = 666.

2444022401013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 341064176049 + 2102958224964 = 584007^2 + 1450158^2 .

It is not a de Polignac number, because 2444022401013 - 26 = 2444022400949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444022401063) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19677081 + ... + 19800897.

Almost surely, 22444022401013 is an apocalyptic number.

It is an amenable number.

2444022401013 is a deficient number, since it is larger than the sum of its proper divisors (1306634071407).

2444022401013 is a wasteful number, since it uses less digits than its factorization.

2444022401013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131446 (or 131426 counting only the distinct ones).

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

Adding to 2444022401013 its reverse (3101042204442), we get a palindrome (5545064605455).

The spelling of 2444022401013 in words is "two trillion, four hundred forty-four billion, twenty-two million, four hundred one thousand, thirteen".

Divisors: 1 3 9 17 51 153 289 867 2601 7589 22767 68301 123817 129013 371451 387039 1114353 1161117 2104889 2193221 6314667 6579663 18944001 19738989 35783113 107349339 322048017 939647213 2818941639 8456824917 15974002621 47922007863 143766023589 271558044557 814674133671 2444022401013