Search a number
-
+
14003024210120 = 2351168346595981
BaseRepresentation
bin1100101111000101010101…
…0010001010100011001000
31211120200020211111202010202
43023301111102022203020
53313411143144210440
645440522302231332
72643453664615511
oct313612522124310
954520224452122
1014003024210120
1145097161214a0
1216a1a68585548
137a7630663caa
14365a6dd77a08
151943b6675615
hexcbc5548a8c8

14003024210120 has 64 divisors (see below), whose sum is σ = 34421383823040. Its totient is φ = 5084553337600.

The previous prime is 14003024210093. The next prime is 14003024210191. The reversal of 14003024210120 is 2101242030041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14003024210092 and 14003024210101.

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 15 ways as a sum of consecutive naturals, for example, 22997471 + ... + 23598510.

It is an arithmetic number, because the mean of its divisors is an integer number (537834122235).

Almost surely, 214003024210120 is an apocalyptic number.

14003024210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14003024210120 is an abundant number, since it is smaller than the sum of its proper divisors (20418359612920).

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

14003024210120 is a wasteful number, since it uses less digits than its factorization.

14003024210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46596686 (or 46596682 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14003024210120 its reverse (2101242030041), we get a palindrome (16104266240161).

The spelling of 14003024210120 in words is "fourteen trillion, three billion, twenty-four million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 683 1366 2732 3415 5464 6830 7513 13660 15026 27320 30052 37565 60104 75130 150260 300520 46595981 93191962 186383924 232979905 372767848 465959810 512555791 931919620 1025111582 1863839240 2050223164 2562778955 4100446328 5125557910 10251115820 20502231640 31825055023 63650110046 127300220092 159125275115 254600440184 318250550230 350075605253 636501100460 700151210506 1273002200920 1400302421012 1750378026265 2800604842024 3500756052530 7001512105060 14003024210120