Search a number
-
+
141441544040 = 23511331292377
BaseRepresentation
bin1000001110111010010…
…0101010111101101000
3111112002022012220102012
42003232210222331220
54304133013402130
6144551035055052
713135024200416
oct2035644527550
9445068186365
10141441544040
1154a92078555
12234b45a1488
1310451428034
146bbac762b6
153a2c570995
hex20ee92af68

141441544040 has 32 divisors (see below), whose sum is σ = 321059798280. Its totient is φ = 56075937792.

The previous prime is 141441544003. The next prime is 141441544051. The reversal of 141441544040 is 40445144141.

141441544040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 30910562596 + 110530981444 = 175814^2 + 332462^2 .

It is a junction number, because it is equal to n+sod(n) for n = 141441543988 and 141441544006.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15641669 + ... + 15650708.

Almost surely, 2141441544040 is an apocalyptic number.

141441544040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141441544040 is an abundant number, since it is smaller than the sum of its proper divisors (179618254240).

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

141441544040 is a wasteful number, since it uses less digits than its factorization.

141441544040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31292501 (or 31292497 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

Adding to 141441544040 its reverse (40445144141), we get a palindrome (181886688181).

The spelling of 141441544040 in words is "one hundred forty-one billion, four hundred forty-one million, five hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 904 1130 2260 4520 31292377 62584754 125169508 156461885 250339016 312923770 625847540 1251695080 3536038601 7072077202 14144154404 17680193005 28288308808 35360386010 70720772020 141441544040