Search a number
-
+
141022444432 = 2444920819433
BaseRepresentation
bin1000001101010110010…
…1111011101110010000
3111111000002121102211111
42003111211323232100
54302303221210212
6144441304223104
713121444666602
oct2032545735620
9444002542744
10141022444432
1154897547841
12233b816aa94
13103b565a0bc
146b7b33d172
153a05887ea7
hex20d597bb90

141022444432 has 40 divisors (see below), whose sum is σ = 274000152600. Its totient is φ = 70312919040.

The previous prime is 141022444397. The next prime is 141022444463. The reversal of 141022444432 is 234444220141.

It is a happy number.

141022444432 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 30981632256 + 110040812176 = 176016^2 + 331724^2 .

It is a junction number, because it is equal to n+sod(n) for n = 141022444394 and 141022444403.

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, 14945188 + ... + 14954620.

It is an arithmetic number, because the mean of its divisors is an integer number (6850003815).

Almost surely, 2141022444432 is an apocalyptic number.

It is an amenable number.

141022444432 is a deficient number, since it is larger than the sum of its proper divisors (132977708168).

141022444432 is a wasteful number, since it uses less digits than its factorization.

141022444432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11971 (or 11965 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 141022444432 its reverse (234444220141), we get a palindrome (375466664573).

The spelling of 141022444432 in words is "one hundred forty-one billion, twenty-two million, four hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 449 898 1796 2081 3592 4162 7184 8324 9433 16648 18866 33296 37732 75464 150928 934369 1868738 3737476 4235417 7474952 8470834 14949904 16941668 19630073 33883336 39260146 67766672 78520292 157040584 314081168 8813902777 17627805554 35255611108 70511222216 141022444432