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144130031244 = 2232171063221549
BaseRepresentation
bin1000011000111011010…
…0011011111010001100
3111210000200002012112100
42012032310123322030
54330134241444434
6150113514435100
713261451023503
oct2061664337214
9453020065470
10144130031244
1156141710801
1223b24a32a90
131078c410474
146d93d4d83a
153b385ce699
hex218ed1be8c

144130031244 has 72 divisors (see below), whose sum is σ = 386124429600. Its totient is φ = 45174523392.

The previous prime is 144130031207. The next prime is 144130031251. The reversal of 144130031244 is 442130031441.

144130031244 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 300 + 312 + 44 = 666.

144130031244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 539782 + ... + 761330.

It is an arithmetic number, because the mean of its divisors is an integer number (5362839300).

Almost surely, 2144130031244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144130031244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193062214800).

144130031244 is an abundant number, since it is smaller than the sum of its proper divisors (241994398356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144130031244 is a wasteful number, since it uses less digits than its factorization.

144130031244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222639 (or 222634 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 144130031244 its reverse (442130031441), we get a palindrome (586260062685).

The spelling of 144130031244 in words is "one hundred forty-four billion, one hundred thirty million, thirty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1063 2126 3189 4252 6378 9567 12756 18071 19134 36142 38268 54213 72284 108426 162639 216852 221549 325278 443098 650556 664647 886196 1329294 1993941 2658588 3766333 3987882 7532666 7975764 11298999 15065332 22597998 33896997 45195996 67793994 135587988 235506587 471013174 706519761 942026348 1413039522 2119559283 2826079044 4003611979 4239118566 8007223958 8478237132 12010835937 16014447916 24021671874 36032507811 48043343748 72065015622 144130031244