Search a number
-
+
441305444997 = 3357746436101
BaseRepresentation
bin1100110101111111101…
…10101011001010000101
31120012002100001101101000
412122333312223022011
524212243143214442
6534422151123513
743611650250624
oct6327766531205
91505070041330
10441305444997
1116017a4675aa
1271640373599
13327cbcb4061
1417505cab6bb
15b72cce8d4c
hex66bfdab285

441305444997 has 32 divisors (see below), whose sum is σ = 655167346560. Its totient is φ = 293582361600.

The previous prime is 441305444981. The next prime is 441305445001. The reversal of 441305444997 is 799444503144.

It is a happy number.

441305444997 is a `hidden beast` number, since 4 + 4 + 1 + 3 + 0 + 544 + 4 + 9 + 97 = 666.

It is not a de Polignac number, because 441305444997 - 24 = 441305444981 is a prime.

It is a super-3 number, since 3×4413054449973 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441305449997) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 72330247 + ... + 72336347.

It is an arithmetic number, because the mean of its divisors is an integer number (20473979580).

Almost surely, 2441305444997 is an apocalyptic number.

It is an amenable number.

441305444997 is a deficient number, since it is larger than the sum of its proper divisors (213861901563).

441305444997 is a wasteful number, since it uses less digits than its factorization.

441305444997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11330 (or 11324 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 441305444997 in words is "four hundred forty-one billion, three hundred five million, four hundred forty-four thousand, nine hundred ninety-seven".

Divisors: 1 3 9 27 577 1731 4643 5193 6101 13929 15579 18303 41787 54909 125361 164727 2679011 3520277 8037033 10560831 24111099 28326943 31682493 72333297 84980829 95047479 254942487 764827461 16344646111 49033938333 147101814999 441305444997