Search a number
-
+
14224141215 = 3353114922811
BaseRepresentation
bin11010011111101001…
…10010101110011111
31100201022020020112000
431033310302232133
5213112340004330
610311240413343
71012326130314
oct151764625637
940638206460
1014224141215
11603a17a909
12290b777253
131458b9950b
1498d180d0b
15583b5a560
hex34fd32b9f

14224141215 has 64 divisors (see below), whose sum is σ = 26279424000. Its totient is φ = 7291900800.

The previous prime is 14224141163. The next prime is 14224141249. The reversal of 14224141215 is 51214142241.

14224141215 is a `hidden beast` number, since 1 + 4 + 2 + 241 + 412 + 1 + 5 = 666.

It is not a de Polignac number, because 14224141215 - 221 = 14222044063 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 612160 + ... + 634970.

It is an arithmetic number, because the mean of its divisors is an integer number (410616000).

Almost surely, 214224141215 is an apocalyptic number.

14224141215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14224141215 is a deficient number, since it is larger than the sum of its proper divisors (12055282785).

14224141215 is a wasteful number, since it uses less digits than its factorization.

14224141215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23005 (or 22999 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

Adding to 14224141215 its reverse (51214142241), we get a palindrome (65438283456).

The spelling of 14224141215 in words is "fourteen billion, two hundred twenty-four million, one hundred forty-one thousand, two hundred fifteen".

Divisors: 1 3 5 9 15 27 31 45 93 135 149 155 279 447 465 745 837 1341 1395 2235 4023 4185 4619 6705 13857 20115 22811 23095 41571 68433 69285 114055 124713 205299 207855 342165 615897 623565 707141 1026495 2121423 3079485 3398839 3535705 6364269 10196517 10607115 16994195 19092807 30589551 31821345 50982585 91768653 95464035 105364009 152947755 316092027 458843265 526820045 948276081 1580460135 2844828243 4741380405 14224141215