Search a number
-
+
4424561141 = 7112131921149
BaseRepresentation
bin1000001111011100…
…10111000111110101
3102102100120222211212
410013232113013311
533030141424031
62011013411205
7214434102110
oct40756270765
912370528755
104424561141
111970605300
12a35939b05
13556882520
142dd8ad577
151ad68b12b
hex107b971f5

4424561141 has 48 divisors (see below), whose sum is σ = 6301008000. Its totient is φ = 3014858880.

The previous prime is 4424561123. The next prime is 4424561143. The reversal of 4424561141 is 1411654244.

It is a de Polignac number, because none of the positive numbers 2k-4424561141 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4424561098 and 4424561107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4424561143) 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 47 ways as a sum of consecutive naturals, for example, 198635 + ... + 219783.

It is an arithmetic number, because the mean of its divisors is an integer number (131271000).

Almost surely, 24424561141 is an apocalyptic number.

It is an amenable number.

4424561141 is a deficient number, since it is larger than the sum of its proper divisors (1876446859).

4424561141 is a wasteful number, since it uses less digits than its factorization.

4424561141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21210 (or 21199 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 4424561141 is about 66517.3747302162. The cubic root of 4424561141 is about 1641.6858953465.

It can be divided in two parts, 4424 and 561141, that added together give a palindrome (565565).

The spelling of 4424561141 in words is "four billion, four hundred twenty-four million, five hundred sixty-one thousand, one hundred forty-one".

Divisors: 1 7 11 13 19 77 91 121 133 143 209 247 847 1001 1463 1573 1729 2299 2717 11011 16093 19019 21149 29887 148043 209209 232639 274937 401831 1628473 1924559 2559029 2812817 3024307 4420141 5223803 17913203 21170149 30940987 33267377 36566621 48621551 57461833 232871639 340350857 402232831 632080163 4424561141