Search a number
-
+
445431021084 = 223277012521517
BaseRepresentation
bin1100111101101011100…
…00011111111000011100
31120120201212001100211100
412132311300133320130
524244220320133314
6540343404353100
744116124131350
oct6366560377034
91516655040740
10445431021084
111619a7220a15
12723b1b45790
133300893273a
14177b7b8d460
15b8c00c6c09
hex67b5c1fe1c

445431021084 has 72 divisors (see below), whose sum is σ = 1288636903008. Its totient is φ = 127084406400.

The previous prime is 445431021083. The next prime is 445431021097. The reversal of 445431021084 is 480120134544.

445431021084 is a `hidden beast` number, since 4 + 4 + 5 + 431 + 0 + 210 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445431021083) 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 23 ways as a sum of consecutive naturals, for example, 1084107 + ... + 1437410.

It is an arithmetic number, because the mean of its divisors is an integer number (17897734764).

Almost surely, 2445431021084 is an apocalyptic number.

It is an amenable number.

445431021084 is an abundant number, since it is smaller than the sum of its proper divisors (843205881924).

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

445431021084 is a wasteful number, since it uses less digits than its factorization.

445431021084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522235 (or 2522230 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 445431021084 in words is "four hundred forty-five billion, four hundred thirty-one million, twenty-one thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 701 1402 2103 2804 4206 4907 6309 8412 9814 12618 14721 19628 25236 29442 44163 58884 88326 176652 2521517 5043034 7564551 10086068 15129102 17650619 22693653 30258204 35301238 45387306 52951857 70602476 90774612 105903714 158855571 211807428 317711142 635422284 1767583417 3535166834 5302750251 7070333668 10605500502 12373083919 15908250753 21211001004 24746167838 31816501506 37119251757 49492335676 63633003012 74238503514 111357755271 148477007028 222715510542 445431021084