Search a number
-
+
221407345744448 = 2633149121286417
BaseRepresentation
bin110010010101111001101010…
…001100011001101001000000
31002000221100001121101211201012
4302111321222030121221000
5213010014221002310243
62102521044103100052
764431103266650153
oct6225715214315100
91060840047354635
10221407345744448
1164602367660156
12209ba288141628
139670813ca8916
143c9625bcc7c9a
151a8e4a6de6d18
hexc95e6a319a40

221407345744448 has 56 divisors (see below), whose sum is σ = 441580100047584. Its totient is φ = 110144430950400.

The previous prime is 221407345744447. The next prime is 221407345744451. The reversal of 221407345744448 is 844447543704122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (221407345744447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241865 + ... + 21044552.

Almost surely, 2221407345744448 is an apocalyptic number.

It is an amenable number.

221407345744448 is a deficient number, since it is larger than the sum of its proper divisors (220172754303136).

221407345744448 is a wasteful number, since it uses less digits than its factorization.

221407345744448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21287251 (or 21287241 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 59.

The spelling of 221407345744448 in words is "two hundred twenty-one trillion, four hundred seven billion, three hundred forty-five million, seven hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 331 491 662 982 1324 1964 2648 3928 5296 7856 10592 15712 21184 31424 162521 325042 650084 1300168 2600336 5200672 10401344 21286417 42572834 85145668 170291336 340582672 681165344 1362330688 7045804027 10451630747 14091608054 20903261494 28183216108 41806522988 56366432216 83613045976 112732864432 167226091952 225465728864 334452183904 450931457728 668904367808 3459489777257 6918979554514 13837959109028 27675918218056 55351836436112 110703672872224 221407345744448