Search a number
-
+
4444170642 = 2321928272
BaseRepresentation
bin1000010001110010…
…01010100110010010
3102110201111021000200
410020321022212102
533100201430032
62012554000030
7215062553502
oct41071124622
912421437020
104444170642
1119806891aa
12a40416016
1355a959c92
14302335a02
151b026147c
hex108e4a992

4444170642 has 54 divisors (see below), whose sum is σ = 10174804263. Its totient is φ = 1401725304.

The previous prime is 4444170641. The next prime is 4444170659. The reversal of 4444170642 is 2460714444.

4444170642 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 1 + 7 + 0 + 642 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2222085321 + 2222085321 = 47139^2 + 47139^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=47139.

It is a junction number, because it is equal to n+sod(n) for n = 4444170597 and 4444170606.

It is not an unprimeable number, because it can be changed into a prime (4444170641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5373433 + ... + 5374259.

Almost surely, 24444170642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444170642

4444170642 is an abundant number, since it is smaller than the sum of its proper divisors (5730633621).

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

4444170642 is an equidigital number, since it uses as much as digits as its factorization.

4444170642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 4444170642 is about 66664.6131167053. The cubic root of 4444170642 is about 1644.1076194489.

The spelling of 4444170642 in words is "four billion, four hundred forty-four million, one hundred seventy thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 827 1083 1654 2166 2481 3249 4962 6498 7443 14886 15713 31426 47139 94278 141417 282834 298547 597094 683929 895641 1367858 1791282 2051787 2686923 4103574 5373846 6155361 12310722 12994651 25989302 38983953 77967906 116951859 233903718 246898369 493796738 740695107 1481390214 2222085321 4444170642