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2112440322024 = 233229339448917
BaseRepresentation
bin11110101111010111010…
…000010100011111101000
321110221120121011000211100
4132233113100110133220
5234102234210301044
64254235223201400
7305422145321004
oct36572720243750
97427517130740
102112440322024
11744976543a5a
122a14a3ba6260
131242824c71b6
1474357bcb704
1539e39463869
hex1ebd74147e8

2112440322024 has 24 divisors (see below), whose sum is σ = 5721192539010. Its totient is φ = 704146773984.

The previous prime is 2112440322023. The next prime is 2112440322059. The reversal of 2112440322024 is 4202230442112.

It is a happy number.

2112440322024 is a `hidden beast` number, since 2 + 1 + 12 + 4 + 403 + 220 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2075380221924 + 37060100100 = 1440618^2 + 192510^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×21124403220242 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112440322023) 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 5 ways as a sum of consecutive naturals, for example, 14669724387 + ... + 14669724530.

Almost surely, 22112440322024 is an apocalyptic number.

2112440322024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2112440322024 is an abundant number, since it is smaller than the sum of its proper divisors (3608752216986).

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

2112440322024 is a wasteful number, since it uses less digits than its factorization.

2112440322024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29339448929 (or 29339448922 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2112440322024 its reverse (4202230442112), we get a palindrome (6314670764136).

The spelling of 2112440322024 in words is "two trillion, one hundred twelve billion, four hundred forty million, three hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29339448917 58678897834 88018346751 117357795668 176036693502 234715591336 264055040253 352073387004 528110080506 704146774008 1056220161012 2112440322024