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2211144044040 = 2332515146387853
BaseRepresentation
bin100000001011010010011…
…101001000111000001000
321211101100102121121222100
4200023102131020320020
5242211410333402130
64411441402353400
7315515132160261
oct40132235107010
97741312547870
102211144044040
11782817194238
122b864b7bb860
131306825a2b39
147903ca19968
153c7b4995c60
hex202d2748e08

2211144044040 has 192 divisors, whose sum is σ = 7249515287040. Its totient is φ = 584461785600.

The previous prime is 2211144044027. The next prime is 2211144044051. The reversal of 2211144044040 is 404404411122.

It is a happy number.

2211144044040 is a `hidden beast` number, since 2 + 211 + 1 + 4 + 4 + 0 + 440 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2211144043995 and 2211144044013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25124754 + ... + 25212606.

It is an arithmetic number, because the mean of its divisors is an integer number (37757892120).

Almost surely, 22211144044040 is an apocalyptic number.

2211144044040 is a gapful number since it is divisible by the number (20) 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 2211144044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624757643520).

2211144044040 is an abundant number, since it is smaller than the sum of its proper divisors (5038371243000).

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

2211144044040 is a wasteful number, since it uses less digits than its factorization.

2211144044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88484 (or 88477 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 2211144044040 its reverse (404404411122), we get a palindrome (2615548455162).

The spelling of 2211144044040 in words is "two trillion, two hundred eleven billion, one hundred forty-four million, forty-four thousand, forty".