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2120113224144 = 243295315449117
BaseRepresentation
bin11110110110100000100…
…110000111100111010000
321111200101100001211210100
4132312200212013213100
5234213442441133034
64301544440132400
7306113245031016
oct36664046074720
97450340054710
102120113224144
11748153709983
122a2a85767100
13124c06042476
1474884c6a8b6
153a237d9b099
hex1eda09879d0

2120113224144 has 60 divisors (see below), whose sum is σ = 5939598804516. Its totient is φ = 705962804736.

The previous prime is 2120113224079. The next prime is 2120113224157. The reversal of 2120113224144 is 4414223110212.

2120113224144 is a `hidden beast` number, since 21 + 201 + 1 + 3 + 22 + 414 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 853110849600 + 1267002374544 = 923640^2 + 1125612^2 .

It is a congruent number.

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, 7587327 + ... + 7861790.

Almost surely, 22120113224144 is an apocalyptic number.

2120113224144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2120113224144 is an abundant number, since it is smaller than the sum of its proper divisors (3819485580372).

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

2120113224144 is a wasteful number, since it uses less digits than its factorization.

2120113224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15450084 (or 15450075 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 2120113224144 its reverse (4414223110212), we get a palindrome (6534336334356).

The spelling of 2120113224144 in words is "two trillion, one hundred twenty billion, one hundred thirteen million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 953 1906 2859 3812 5718 7624 8577 11436 15248 17154 22872 34308 45744 68616 137232 15449117 30898234 46347351 61796468 92694702 123592936 139042053 185389404 247185872 278084106 370778808 556168212 741557616 1112336424 2224672848 14723008501 29446017002 44169025503 58892034004 88338051006 117784068008 132507076509 176676102012 235568136016 265014153018 353352204024 530028306036 706704408048 1060056612072 2120113224144