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2220144105040 = 24527751801313
BaseRepresentation
bin100000010011101010111…
…001101001011001010000
321212020120122211002122221
4200103222321221121100
5242333323342330130
64415530425110424
7316254145344211
oct40235271513120
97766518732587
102220144105040
11786615517284
122ba341928414
13131488074b14
1479654049408
153cb3eb8587a
hex204eae69650

2220144105040 has 20 divisors (see below), whose sum is σ = 5161835044404. Its totient is φ = 888057641984.

The previous prime is 2220144105013. The next prime is 2220144105097. The reversal of 2220144105040 is 405014410222.

It can be written as a sum of positive squares in 2 ways, for example, as 1565171140624 + 654972964416 = 1251068^2 + 809304^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 2220144104996 and 2220144105014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13875900577 + ... + 13875900736.

Almost surely, 22220144105040 is an apocalyptic number.

2220144105040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220144105040 is an abundant number, since it is smaller than the sum of its proper divisors (2941690939364).

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

2220144105040 is a wasteful number, since it uses less digits than its factorization.

2220144105040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27751801326 (or 27751801320 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 2220144105040 its reverse (405014410222), we get a palindrome (2625158515262).

The spelling of 2220144105040 in words is "two trillion, two hundred twenty billion, one hundred forty-four million, one hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 27751801313 55503602626 111007205252 138759006565 222014410504 277518013130 444028821008 555036026260 1110072052520 2220144105040