Search a number
-
+
14444142303123 = 341383257643061
BaseRepresentation
bin1101001000110000100111…
…1110001001011110010011
31220010211212010000122220000
43102030021332021132103
53343123100412144443
650415314122021043
73020361211550631
oct322141176113623
956124763018800
1014444142303123
1146697a9854735
121753456047783
1380a0cc89b980
1437d158dd6351
151a0ad2cb28d3
hexd2309f89793

14444142303123 has 80 divisors (see below), whose sum is σ = 23608328790816. Its totient is φ = 8747426856960.

The previous prime is 14444142303119. The next prime is 14444142303131. The reversal of 14444142303123 is 32130324144441.

14444142303123 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 414 + 230 + 3 + 1 + 2 + 3 = 666.

14444142303123 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 14444142303123 - 22 = 14444142303119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14444142303113) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22140013 + ... + 22783073.

Almost surely, 214444142303123 is an apocalyptic number.

14444142303123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

14444142303123 is a deficient number, since it is larger than the sum of its proper divisors (9164186487693).

14444142303123 is a wasteful number, since it uses less digits than its factorization.

14444142303123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643426 (or 643417 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 14444142303123 its reverse (32130324144441), we get a palindrome (46574466447564).

The spelling of 14444142303123 in words is "fourteen trillion, four hundred forty-four billion, one hundred forty-two million, three hundred three thousand, one hundred twenty-three".

Divisors: 1 3 9 13 27 39 81 83 117 249 257 351 747 771 1053 1079 2241 2313 3237 3341 6723 6939 9711 10023 20817 21331 29133 30069 63993 87399 90207 191979 270621 277303 575937 643061 831909 1727811 1929183 2495727 5787549 7487181 8359793 17362647 22461543 25079379 52087941 53374063 75238137 160122189 165266677 225714411 480366567 495800031 677143233 693862819 1441099701 1487400093 2081588457 2148466801 4323299103 4462200279 6244765371 6445400403 13386600837 13717134191 18734296113 19336201209 41151402573 56202888339 58008603627 123454207719 174025810881 178322744483 370362623157 534968233449 1111087869471 1604904700347 4814714101041 14444142303123