Search a number
-
+
23144134443340 = 22573124912691871
BaseRepresentation
bin1010100001100101010011…
…11010011000000101001100
310000221120001112010010220011
411100302221322120011030
511013143141404141330
6121120134003003004
74606052140566661
oct520625172300514
9100846045103804
1023144134443340
117413410588379
1227195a3969464
13cbb63710a3b1
145a02798d1a68
152a207327b82a
hex150ca9e9814c

23144134443340 has 48 divisors (see below), whose sum is σ = 49307922720000. Its totient is φ = 9123525365760.

The previous prime is 23144134443301. The next prime is 23144134443341. The reversal of 23144134443340 is 4334443144132.

It is a junction number, because it is equal to n+sod(n) for n = 23144134443293 and 23144134443302.

It is not an unprimeable number, because it can be changed into a prime (23144134443341) by changing a digit.

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, 4522396 + ... + 8169475.

It is an arithmetic number, because the mean of its divisors is an integer number (1027248390000).

Almost surely, 223144134443340 is an apocalyptic number.

23144134443340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23144134443340 is an abundant number, since it is smaller than the sum of its proper divisors (26163788276660).

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

23144134443340 is a wasteful number, since it uses less digits than its factorization.

23144134443340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12693202 (or 12693200 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 23144134443340 its reverse (4334443144132), we get a palindrome (27478577587472).

The spelling of 23144134443340 in words is "twenty-three trillion, one hundred forty-four billion, one hundred thirty-four million, four hundred forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1249 1460 2498 4996 6245 12490 24980 91177 182354 364708 455885 911770 1823540 12691871 25383742 50767484 63459355 126918710 253837420 926506583 1853013166 3706026332 4632532915 9265065830 15852146879 18530131660 31704293758 63408587516 79260734395 158521468790 317042937580 1157206722167 2314413444334 4628826888668 5786033610835 11572067221670 23144134443340