Search a number
-
+
14531026224 = 24311132116991
BaseRepresentation
bin11011000100001110…
…11101110100110000
31101111200200121121110
431202013131310300
5214224420314344
610401522153320
71023043453641
oct154207356460
941450617543
1014531026224
116187427090
1229964b2840
1314a7638090
149bbc276c8
155a0a793b9
hex3621ddd30

14531026224 has 80 divisors (see below), whose sum is σ = 44101177344. Its totient is φ = 4064620800.

The previous prime is 14531026151. The next prime is 14531026229. The reversal of 14531026224 is 42262013541.

14531026224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145310262242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14531026191 and 14531026200.

It is not an unprimeable number, because it can be changed into a prime (14531026229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1051632 + ... + 1065359.

Almost surely, 214531026224 is an apocalyptic number.

It is an amenable number.

14531026224 is an abundant number, since it is smaller than the sum of its proper divisors (29570151120).

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

14531026224 is a wasteful number, since it uses less digits than its factorization.

14531026224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117026 (or 2117020 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 14531026224 its reverse (42262013541), we get a palindrome (56793039765).

The spelling of 14531026224 in words is "fourteen billion, five hundred thirty-one million, twenty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 2116991 4233982 6350973 8467964 12701946 16935928 23286901 25403892 27520883 33871856 46573802 50807784 55041766 69860703 82562649 93147604 101615568 110083532 139721406 165125298 186295208 220167064 279442812 302729713 330250596 372590416 440334128 558885624 605459426 660501192 908189139 1117771248 1210918852 1321002384 1816378278 2421837704 3632756556 4843675408 7265513112 14531026224