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442444034241 = 33114373340661
BaseRepresentation
bin1100111000000111011…
…10000011000011000001
31120022000200111201012000
412130003232003003001
524222111133043431
6535131143054213
743652114145036
oct6340356030301
91508020451160
10442444034241
11160704139550
12718b9741369
1332950b563c1
14175b31b338d
15b797c539e6
hex6703b830c1

442444034241 has 32 divisors (see below), whose sum is σ = 715226682240. Its totient is φ = 268085793600.

The previous prime is 442444034233. The next prime is 442444034281. The reversal of 442444034241 is 142430444244.

It is a happy number.

442444034241 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 4 + 403 + 4 + 241 = 666.

It is not a de Polignac number, because 442444034241 - 23 = 442444034233 is a prime.

It is a super-3 number, since 3×4424440342413 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442444034196 and 442444034205.

It is not an unprimeable number, because it can be changed into a prime (442444034281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1128451 + ... + 1469111.

It is an arithmetic number, because the mean of its divisors is an integer number (22350833820).

Almost surely, 2442444034241 is an apocalyptic number.

It is an amenable number.

442444034241 is a deficient number, since it is larger than the sum of its proper divisors (272782647999).

442444034241 is a wasteful number, since it uses less digits than its factorization.

442444034241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345054 (or 345048 counting only the distinct ones).

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

Adding to 442444034241 its reverse (142430444244), we get a palindrome (584874478485).

The spelling of 442444034241 in words is "four hundred forty-two billion, four hundred forty-four million, thirty-four thousand, two hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 4373 13119 39357 48103 118071 144309 340661 432927 1021983 1298781 3065949 3747271 9197847 11241813 33725439 101176317 1489710553 4469131659 13407394977 16386816083 40222184931 49160448249 147481344747 442444034241