Search a number
-
+
24400220412402 = 2341158491300129
BaseRepresentation
bin1011000110001000111100…
…11110000101100111110010
310012101122020022110200120000
411203010132132011213302
511144233122411144102
6123521150112330430
75065600131300552
oct543043636054762
9105348208420500
1024400220412402
11785809134610a
1228a0b14543a16
13107cc142a0b33
14604d96b37162
152c4a8bc7701c
hex16311e7859f2

24400220412402 has 40 divisors (see below), whose sum is σ = 54675081961500. Its totient is φ = 8133330341376.

The previous prime is 24400220412329. The next prime is 24400220412413. The reversal of 24400220412402 is 20421402200442.

24400220412402 is a `hidden beast` number, since 2 + 4 + 40 + 0 + 2 + 204 + 12 + 402 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17884601702361 + 6515618710041 = 4229019^2 + 2552571^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18117474 + ... + 19417602.

Almost surely, 224400220412402 is an apocalyptic number.

24400220412402 is an abundant number, since it is smaller than the sum of its proper divisors (30274861549098).

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

24400220412402 is a wasteful number, since it uses less digits than its factorization.

24400220412402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415992 (or 1415983 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 24400220412402 its reverse (20421402200442), we get a palindrome (44821622612844).

The spelling of 24400220412402 in words is "twenty-four trillion, four hundred billion, two hundred twenty million, four hundred twelve thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 115849 231698 347547 695094 1042641 1300129 2085282 2600258 3127923 3900387 6255846 7800774 9383769 11701161 18767538 23402322 35103483 70206966 105310449 210620898 150618644521 301237289042 451855933563 903711867126 1355567800689 2711135601378 4066703402067 8133406804134 12200110206201 24400220412402