Search a number
-
+
144714502140 = 223513227817319
BaseRepresentation
bin1000011011000110101…
…0000000111111111100
3111211112101212101212120
42012301222000333330
54332333403032030
6150251514002540
713312105654335
oct2066152007774
9454471771776
10144714502140
11564116223aa
1224068716450
131085352c930
14700b81328c
153b6ea81010
hex21b1a80ffc

144714502140 has 96 divisors (see below), whose sum is σ = 438292753920. Its totient is φ = 35465062656.

The previous prime is 144714502133. The next prime is 144714502183. The reversal of 144714502140 is 41205417441.

144714502140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 231600 + ... + 585719.

It is an arithmetic number, because the mean of its divisors is an integer number (4565549520).

Almost surely, 2144714502140 is an apocalyptic number.

144714502140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144714502140 is an abundant number, since it is smaller than the sum of its proper divisors (293578251780).

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

144714502140 is a wasteful number, since it uses less digits than its factorization.

144714502140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817571 (or 817569 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

Adding to 144714502140 its reverse (41205417441), we get a palindrome (185919919581).

The spelling of 144714502140 in words is "one hundred forty-four billion, seven hundred fourteen million, five hundred two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 227 260 390 454 681 780 908 1135 1362 2270 2724 2951 3405 4540 5902 6810 8853 11804 13620 14755 17706 29510 35412 44265 59020 88530 177060 817319 1634638 2451957 3269276 4086595 4903914 8173190 9807828 10625147 12259785 16346380 21250294 24519570 31875441 42500588 49039140 53125735 63750882 106251470 127501764 159377205 185531413 212502940 318754410 371062826 556594239 637508820 742125652 927657065 1113188478 1855314130 2226376956 2411908369 2782971195 3710628260 4823816738 5565942390 7235725107 9647633476 11131884780 12059541845 14471450214 24119083690 28942900428 36178625535 48238167380 72357251070 144714502140