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454541223444 = 2237114791026989
BaseRepresentation
bin1101001110101001100…
…01001010011000010100
31121110020202111121001120
412213110301022120110
524421400023122234
6544451403523540
744560645436160
oct6472461123024
91543222447046
10454541223444
11165851741880
1274114b295b0
1333b2b189219
1417ddda8dca0
15bc54cc1049
hex69d4c4a614

454541223444 has 96 divisors (see below), whose sum is σ = 1325063577600. Its totient is φ = 117816063360.

The previous prime is 454541223443. The next prime is 454541223523. The reversal of 454541223444 is 444322145454.

It is a super-2 number, since 2×4545412234442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 454541223396 and 454541223405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454541223443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70899 + ... + 956090.

It is an arithmetic number, because the mean of its divisors is an integer number (13802745600).

Almost surely, 2454541223444 is an apocalyptic number.

454541223444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454541223444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662531788800).

454541223444 is an abundant number, since it is smaller than the sum of its proper divisors (870522354156).

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

454541223444 is a wasteful number, since it uses less digits than its factorization.

454541223444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027493 (or 1027491 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 42.

Adding to 454541223444 its reverse (444322145454), we get a palindrome (898863368898).

The spelling of 454541223444 in words is "four hundred fifty-four billion, five hundred forty-one million, two hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 479 924 958 1437 1916 2874 3353 5269 5748 6706 10059 10538 13412 15807 20118 21076 31614 36883 40236 63228 73766 110649 147532 221298 442596 1026989 2053978 3080967 4107956 6161934 7188923 11296879 12323868 14377846 21566769 22593758 28755692 33890637 43133538 45187516 67781274 79078153 86267076 135562548 158156306 237234459 316312612 474468918 491927731 948937836 983855462 1475783193 1967710924 2951566386 3443494117 5411205041 5903132772 6886988234 10330482351 10822410082 13773976468 16233615123 20660964702 21644820164 32467230246 37878435287 41321929404 64934460492 75756870574 113635305861 151513741148 227270611722 454541223444