Search a number
-
+
110021140323444 = 223721761379476081
BaseRepresentation
bin11001000001000001001010…
…111111001001110001110100
3112102112220210102210111001110
4121001001022333021301310
5103410041243410322234
61025555003014155020
732113523264352600
oct3101011277116164
9472486712714043
10110021140323444
1132068781516089
121040aa01352a70
134950c44ca789c
141d250a1860500
15cabd8062c1e9
hex64104afc9c74

110021140323444 has 288 divisors, whose sum is σ = 322227379877760. Its totient is φ = 29023664947200.

The previous prime is 110021140323443. The next prime is 110021140323449. The reversal of 110021140323444 is 444323041120011.

It is a happy number.

It is a super-2 number, since 2×1100211403234442 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110021140323443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230859484 + ... + 231335564.

It is an arithmetic number, because the mean of its divisors is an integer number (1118845069020).

Almost surely, 2110021140323444 is an apocalyptic number.

110021140323444 is a gapful number since it is divisible by the number (14) 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 110021140323444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161113689938880).

110021140323444 is an abundant number, since it is smaller than the sum of its proper divisors (212206239554316).

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

110021140323444 is a wasteful number, since it uses less digits than its factorization.

110021140323444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476559 (or 476550 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 110021140323444 its reverse (444323041120011), we get a palindrome (554344181443455).

The spelling of 110021140323444 in words is "one hundred ten trillion, twenty-one billion, one hundred forty million, three hundred twenty-three thousand, four hundred forty-four".