Search a number
-
+
144341520601 = 2347536593823
BaseRepresentation
bin1000011001101101101…
…1001101000011011001
3111210120102000222101111
42012123123031003121
54331102412124401
6150150511420321
713266626452525
oct2063333150331
9453512028344
10144341520601
11562400308a3
1223b838246a1
13107c418b1b5
146db4082d85
153b4be57e51
hex219b6cd0d9

144341520601 has 32 divisors (see below), whose sum is σ = 157003038720. Its totient is φ = 132342834624.

The previous prime is 144341520541. The next prime is 144341520619. The reversal of 144341520601 is 106025143441.

144341520601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144341520601 - 211 = 144341518553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144341524601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37754176 + ... + 37757998.

It is an arithmetic number, because the mean of its divisors is an integer number (4906344960).

Almost surely, 2144341520601 is an apocalyptic number.

It is an amenable number.

144341520601 is a deficient number, since it is larger than the sum of its proper divisors (12661518119).

144341520601 is a wasteful number, since it uses less digits than its factorization.

144341520601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605.

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 144341520601 in words is "one hundred forty-four billion, three hundred forty-one million, five hundred twenty thousand, six hundred one".

Divisors: 1 23 47 53 659 1081 1219 2491 3823 15157 30973 34927 57293 87929 179681 202619 712379 803321 1641569 2519357 4132663 4660237 9523093 37756087 57945211 118409779 133525921 219031139 2723424917 3071096183 6275718287 144341520601