Search a number
-
+
20114112424 = 23719142913229
BaseRepresentation
bin10010101110111001…
…001111111110101000
31220220210020210001211
4102232321033332220
5312143203044144
613123523122504
71311306064120
oct225671177650
956823223054
1020114112424
11859198a40a
123a94213434
131b8721ca93
14d8b50bc80
157cacac034
hex4aee4ffa8

20114112424 has 64 divisors (see below), whose sum is σ = 45405360000. Its totient is φ = 8160300288.

The previous prime is 20114112371. The next prime is 20114112437. The reversal of 20114112424 is 42421141102.

It is a super-2 number, since 2×201141124242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20114112395 and 20114112404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1513842 + ... + 1527070.

It is an arithmetic number, because the mean of its divisors is an integer number (709458750).

Almost surely, 220114112424 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 20114112424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22702680000).

20114112424 is an abundant number, since it is smaller than the sum of its proper divisors (25291247576).

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

20114112424 is a wasteful number, since it uses less digits than its factorization.

20114112424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14690 (or 14686 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 20114112424 its reverse (42421141102), we get a palindrome (62535253526).

The spelling of 20114112424 in words is "twenty billion, one hundred fourteen million, one hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 1429 2858 5716 10003 11432 13229 20006 26458 27151 40012 52916 54302 80024 92603 105832 108604 185206 190057 217208 251351 370412 380114 502702 740824 760228 1005404 1520456 1759457 2010808 3518914 7037828 14075656 18904241 37808482 75616964 132329687 151233928 264659374 359180579 529318748 718361158 1058637496 1436722316 2514264053 2873444632 5028528106 10057056212 20114112424