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2441012445540 = 2232513561180253
BaseRepresentation
bin100011100001010111101…
…011100000000101100100
322122100200100120022122100
4203201113223200011210
5304443143141224130
65105215144132100
7341233364304114
oct43412753400544
98570610508570
102441012445540
11861255985579
12335102167030
1314925692bb66
148620788b044
154376a1ebc60
hex23857ae0164

2441012445540 has 36 divisors (see below), whose sum is σ = 7404404418684. Its totient is φ = 650936652096.

The previous prime is 2441012445479. The next prime is 2441012445559. The reversal of 2441012445540 is 455442101442.

2441012445540 is a `hidden beast` number, since 2 + 4 + 4 + 101 + 2 + 4 + 4 + 5 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1652340568356 + 788671877184 = 1285434^2 + 888072^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 2441012445495 and 2441012445504.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6780589947 + ... + 6780590306.

It is an arithmetic number, because the mean of its divisors is an integer number (205677900519).

Almost surely, 22441012445540 is an apocalyptic number.

2441012445540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2441012445540 is an abundant number, since it is smaller than the sum of its proper divisors (4963391973144).

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

2441012445540 is a wasteful number, since it uses less digits than its factorization.

2441012445540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13561180268 (or 13561180263 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 2441012445540 its reverse (455442101442), we get a palindrome (2896454546982).

The spelling of 2441012445540 in words is "two trillion, four hundred forty-one billion, twelve million, four hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13561180253 27122360506 40683540759 54244721012 67805901265 81367081518 122050622277 135611802530 162734163036 203417703795 244101244554 271223605060 406835407590 488202489108 610253111385 813670815180 1220506222770 2441012445540