Search a number
-
+
20042400442644 = 2232829167149119
BaseRepresentation
bin1001000111010011111000…
…01010001010100100010100
32121222000221100101011102100
410203221330022022210110
510111333314003131034
6110343203542442100
74136005236601506
oct443517412124424
977860840334370
1020042400442644
116427a30600178
1222b8427433330
13b24cb4778558
144d40b3561d76
1524b537480099
hex123a7c28a914

20042400442644 has 36 divisors (see below), whose sum is σ = 50668845776640. Its totient is φ = 6679994258640.

The previous prime is 20042400442619. The next prime is 20042400442679. The reversal of 20042400442644 is 44624400424002.

20042400442644 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 2 + 4 + 0 + 0 + 4 + 4 + 2 + 644 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20042400442599 and 20042400442608.

It is a congruent number.

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, 33276084 + ... + 33873035.

It is an arithmetic number, because the mean of its divisors is an integer number (1407467938240).

Almost surely, 220042400442644 is an apocalyptic number.

It is an amenable number.

20042400442644 is an abundant number, since it is smaller than the sum of its proper divisors (30626445333996).

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

20042400442644 is a wasteful number, since it uses less digits than its factorization.

20042400442644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67157420 (or 67157415 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 20042400442644 its reverse (44624400424002), we get a palindrome (64666800866646).

The spelling of 20042400442644 in words is "twenty trillion, forty-two billion, four hundred million, four hundred forty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 8291 16582 24873 33164 49746 74619 99492 149238 298476 67149119 134298238 201447357 268596476 402894714 604342071 805789428 1208684142 2417368284 556733345629 1113466691258 1670200036887 2226933382516 3340400073774 5010600110661 6680800147548 10021200221322 20042400442644