Search a number
-
+
144531261355 = 51323218792237
BaseRepresentation
bin1000011010011010111…
…1000000011110101011
3111211001122001210202211
42012212233000132223
54332000000330410
6150221410305551
713304422310545
oct2064657003653
9454048053684
10144531261355
1156328146938
12240172882b7
1310824592930
146dd1354695
153b5d93768a
hex21a6bc07ab

144531261355 has 48 divisors (see below), whose sum is σ = 195444002880. Its totient is φ = 101990363904.

The previous prime is 144531261331. The next prime is 144531261361. The reversal of 144531261355 is 553162135441.

144531261355 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 144531261355 - 27 = 144531261227 is a prime.

It is an unprimeable number.

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, 64608297 + ... + 64610533.

It is an arithmetic number, because the mean of its divisors is an integer number (4071750060).

Almost surely, 2144531261355 is an apocalyptic number.

144531261355 is a deficient number, since it is larger than the sum of its proper divisors (50912741525).

144531261355 is a wasteful number, since it uses less digits than its factorization.

144531261355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180 (or 4157 counting only the distinct ones).

The product of its digits is 216000, while the sum is 40.

Adding to 144531261355 its reverse (553162135441), we get a palindrome (697693396796).

The spelling of 144531261355 in words is "one hundred forty-four billion, five hundred thirty-one million, two hundred sixty-one thousand, three hundred fifty-five".

Divisors: 1 5 13 23 65 115 299 529 1495 1879 2237 2645 6877 9395 11185 24427 29081 34385 43217 51451 122135 145405 216085 257255 561821 668863 993991 1183373 2809105 3344315 4203323 4969955 5916865 12921883 15383849 21016615 54643199 64609415 76919245 96676429 273215995 483382145 1256793577 2223557867 6283967885 11117789335 28906252271 144531261355