Search a number
-
+
4204476432324 = 223272488212
BaseRepresentation
bin111101001011101110010…
…100101111111111000100
3112212221111012011201011100
4331023232110233333010
51022341231431313244
612535302041340100
7612522563002200
oct75135624577704
915787435151140
104204476432324
111381121376713
1257aa32797630
1324663265c11c
141076d7b53b00
157457c414b69
hex3d2ee52ffc4

4204476432324 has 81 divisors (see below), whose sum is σ = 12363416082381. Its totient is φ = 1201254374880.

The previous prime is 4204476432281. The next prime is 4204476432353. The reversal of 4204476432324 is 4232346744024.

The square root of 4204476432324 is 2050482.

It is a perfect power (a square), and thus also a powerful number.

4204476432324 is a `hidden beast` number, since 4 + 204 + 4 + 7 + 6 + 432 + 3 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3226988289924 + 977488142400 = 1796382^2 + 988680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4204476432324.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 86095834 + ... + 86144654.

Almost surely, 24204476432324 is an apocalyptic number.

4204476432324 is the 2050482-nd square number.

It is an amenable number.

4204476432324 is an abundant number, since it is smaller than the sum of its proper divisors (8158939650057).

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

4204476432324 is an frugal number, since it uses more digits than its factorization.

4204476432324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97666 (or 48833 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 45.

The spelling of 4204476432324 in words is "four trillion, two hundred four billion, four hundred seventy-six million, four hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 48821 97642 146463 195284 292926 341747 439389 585852 683494 878778 1025241 1366988 1757556 2050482 2392229 3075723 4100964 4784458 6151446 7176687 9568916 12302892 14353374 21530061 28706748 43060122 86120244 2383490041 4766980082 7150470123 9533960164 14300940246 16684430287 21451410369 28601880492 33368860574 42902820738 50053290861 66737721148 85805641476 100106581722 116791012009 150159872583 200213163444 233582024018 300319745166 350373036027 467164048036 600639490332 700746072054 1051119108081 1401492144108 2102238216162 4204476432324