Search a number
-
+
144364005204166 = 21123714018371241
BaseRepresentation
bin100000110100110001011101…
…001111111010000011000110
3200221011001201201221112020201
4200310301131033322003012
5122410224440313013131
61231011524115521114
742256645425342406
oct4064613517720306
9627131651845221
10144364005204166
1141aa9481415360
12142368652b919a
13627260c7b92b7
14279138012c806
1511a538bd0a761
hex834c5d3fa0c6

144364005204166 has 32 divisors (see below), whose sum is σ = 249974838222336. Its totient is φ = 61882917096000.

The previous prime is 144364005204119. The next prime is 144364005204169. The reversal of 144364005204166 is 661402500463441.

144364005204166 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144364005204169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2009149695 + ... + 2009221546.

It is an arithmetic number, because the mean of its divisors is an integer number (7811713694448).

Almost surely, 2144364005204166 is an apocalyptic number.

144364005204166 is a deficient number, since it is larger than the sum of its proper divisors (105610833018170).

144364005204166 is a wasteful number, since it uses less digits than its factorization.

144364005204166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018371348.

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 144364005204166 in words is "one hundred forty-four trillion, three hundred sixty-four billion, five million, two hundred four thousand, one hundred sixty-six".

Divisors: 1 2 11 22 23 46 71 142 253 506 781 1562 1633 3266 17963 35926 4018371241 8036742482 44202083651 88404167302 92422538543 184845077086 285304358111 570608716222 1016647923973 2033295847946 3138347939221 6276695878442 6562000236553 13124000473106 72182002602083 144364005204166