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120444023141 = 13411217185681
BaseRepresentation
bin111000000101100000…
…1011111000101100101
3102111212221200022201222
41300023001133011211
53433132132220031
6131155313230125
711462500206341
oct1601301370545
9374787608658
10120444023141
11470975692a2
121b414562345
13b4861a0760
145b882ca621
1531ede62e7b
hex1c0b05f165

120444023141 has 16 divisors (see below), whose sum is σ = 132982477488. Its totient is φ = 108377702400.

The previous prime is 120444023137. The next prime is 120444023149. The reversal of 120444023141 is 141320444021.

It can be written as a sum of positive squares in 8 ways, for example, as 21942200641 + 98501822500 = 148129^2 + 313850^2 .

It is a cyclic number.

It is not a de Polignac number, because 120444023141 - 22 = 120444023137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 120444023141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120444023149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555821 + ... + 741501.

It is an arithmetic number, because the mean of its divisors is an integer number (8311404843).

Almost surely, 2120444023141 is an apocalyptic number.

It is an amenable number.

120444023141 is a deficient number, since it is larger than the sum of its proper divisors (12538454347).

120444023141 is a wasteful number, since it uses less digits than its factorization.

120444023141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186952.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 120444023141 its reverse (141320444021), we get a palindrome (261764467162).

The spelling of 120444023141 in words is "one hundred twenty billion, four hundred forty-four million, twenty-three thousand, one hundred forty-one".

Divisors: 1 13 41 533 1217 15821 49897 185681 648661 2413853 7612921 98967973 225973777 2937659101 9264924857 120444023141