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14534354224 = 2413235315227
BaseRepresentation
bin11011000100101000…
…01010010100110000
31101111220221200202201
431202110022110300
5214231243313344
610402121352544
71023113654365
oct154224122460
941456850681
1014534354224
11618929a4a5
122997638754
1314a8231b00
149bc45246c
155a0ed54d4
hex36250a530

14534354224 has 60 divisors (see below), whose sum is σ = 30581509176. Its totient is φ = 6688720896.

The previous prime is 14534354207. The next prime is 14534354227. The reversal of 14534354224 is 42245343541.

It is a super-2 number, since 2×145343542242 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14534354227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 946899 + ... + 962125.

Almost surely, 214534354224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14534354224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15290754588).

14534354224 is an abundant number, since it is smaller than the sum of its proper divisors (16047154952).

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

14534354224 is a wasteful number, since it uses less digits than its factorization.

14534354224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15614 (or 15595 counting only the distinct ones).

The product of its digits is 230400, while the sum is 37.

Adding to 14534354224 its reverse (42245343541), we get a palindrome (56779697765).

The spelling of 14534354224 in words is "fourteen billion, five hundred thirty-four million, three hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 353 676 706 1352 1412 2704 2824 4589 5648 9178 15227 18356 30454 36712 59657 60908 73424 119314 121816 197951 238628 243632 395902 477256 791804 954512 1583608 2573363 3167216 5146726 5375131 10293452 10750262 20586904 21500524 41173808 43001048 69876703 86002096 139753406 279506812 559013624 908397139 1118027248 1816794278 3633588556 7267177112 14534354224