Search a number
-
+
446238042228 = 2232111126863743
BaseRepresentation
bin1100111111001011101…
…11000010100001110100
31120122211002121021201100
412133211313002201310
524302343414322403
6540555433530100
744145123526566
oct6374567024164
91518732537640
10446238042228
11162280817940
1272598273930
1333106ba3344
1417853025336
15b91ad892a3
hex67e5dc2874

446238042228 has 36 divisors (see below), whose sum is σ = 1230535208448. Its totient is φ = 135223649040.

The previous prime is 446238042203. The next prime is 446238042233. The reversal of 446238042228 is 822240832644.

446238042228 is a `hidden beast` number, since 4 + 4 + 6 + 2 + 380 + 42 + 228 = 666.

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

It is a super-2 number, since 2×4462380422282 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 563431476 + ... + 563432267.

It is an arithmetic number, because the mean of its divisors is an integer number (34181533568).

Almost surely, 2446238042228 is an apocalyptic number.

It is an amenable number.

446238042228 is an abundant number, since it is smaller than the sum of its proper divisors (784297166220).

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

446238042228 is a wasteful number, since it uses less digits than its factorization.

446238042228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126863764 (or 1126863759 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 446238042228 in words is "four hundred forty-six billion, two hundred thirty-eight million, forty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1126863743 2253727486 3380591229 4507454972 6761182458 10141773687 12395501173 13522364916 20283547374 24791002346 37186503519 40567094748 49582004692 74373007038 111559510557 148746014076 223119021114 446238042228