Search a number
-
+
144680087041 = 7232433592531
BaseRepresentation
bin1000011010111110011…
…0101110111000000001
3111211110000002221020021
42012233212232320001
54332301100241131
6150244244213441
713311210306640
oct2065746567001
9454400087207
10144680087041
11563a4156876
122405909a281
1310849370179
147007015357
153b6ba33e11
hex21af9aee01

144680087041 has 48 divisors (see below), whose sum is σ = 177432837120. Its totient is φ = 115492718880.

The previous prime is 144680087023. The next prime is 144680087117. The reversal of 144680087041 is 140780086441.

It is a happy number.

144680087041 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 144680087041 - 211 = 144680084993 is a prime.

It is a super-2 number, since 2×1446800870412 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (144680087021) 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 47 ways as a sum of consecutive naturals, for example, 57161946 + ... + 57164476.

It is an arithmetic number, because the mean of its divisors is an integer number (3696517440).

Almost surely, 2144680087041 is an apocalyptic number.

It is an amenable number.

144680087041 is a deficient number, since it is larger than the sum of its proper divisors (32752750079).

144680087041 is a wasteful number, since it uses less digits than its factorization.

144680087041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 144680087041 in words is "one hundred forty-four billion, six hundred eighty million, eighty-seven thousand, forty-one".

Divisors: 1 7 23 43 161 301 359 529 989 2513 2531 3703 6923 8257 15437 17717 22747 57799 58213 108059 108833 159229 189911 355051 407491 761831 908629 1329377 1338899 2485357 2503159 6360403 8166173 9372293 17522113 20898467 39071047 57163211 57572657 146289269 273497329 403008599 480664741 898634081 3364653187 6290438567 20668583863 144680087041