Search a number
-
+
144244114045 = 517101163103079
BaseRepresentation
bin1000011001010110011…
…1101000001001111101
3111210022121202012201021
42012111213220021331
54330402443122140
6150133111544141
713264334511433
oct2062547501175
9453277665637
10144244114045
11561a0050909
1223b5708b051
13107a9c44c95
146da5168d53
153b43616b4a
hex21959e827d

144244114045 has 32 divisors (see below), whose sum is σ = 186226801920. Its totient is φ = 106871270400.

The previous prime is 144244114039. The next prime is 144244114103. The reversal of 144244114045 is 540411442441.

144244114045 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 144244114045 - 215 = 144244081277 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144244114045.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1347816 + ... + 1450894.

It is an arithmetic number, because the mean of its divisors is an integer number (5819587560).

Almost surely, 2144244114045 is an apocalyptic number.

It is an amenable number.

144244114045 is a deficient number, since it is larger than the sum of its proper divisors (41982687875).

144244114045 is a wasteful number, since it uses less digits than its factorization.

144244114045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103365.

The product of its (nonzero) digits is 40960, while the sum is 34.

Adding to 144244114045 its reverse (540411442441), we get a palindrome (684655556486).

The spelling of 144244114045 in words is "one hundred forty-four billion, two hundred forty-four million, one hundred fourteen thousand, forty-five".

Divisors: 1 5 17 85 101 163 505 815 1717 2771 8585 13855 16463 82315 103079 279871 515395 1399355 1752343 8761715 10410979 16801877 52054895 84009385 176986643 285631909 884933215 1428159545 1696989577 8484947885 28848822809 144244114045