Search a number
-
+
1442241713 = 112113313337
BaseRepresentation
bin101010111110110…
…1101110010110001
310201111211110200202
41111331231302301
510423203213323
6355040124545
750511565223
oct12575556261
93644743622
101442241713
11680120600
12343006755
1319ca4b783
14d978a413
158693ad28
hex55f6dcb1

1442241713 has 24 divisors (see below), whose sum is σ = 1609173384. Its totient is φ = 1291530240.

The previous prime is 1442241709. The next prime is 1442241719. The reversal of 1442241713 is 3171422441.

It can be written as a sum of positive squares in 4 ways, for example, as 224790049 + 1217451664 = 14993^2 + 34892^2 .

It is not a de Polignac number, because 1442241713 - 22 = 1442241709 is a prime.

It is a super-3 number, since 3×14422417133 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1442241719) 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 23 ways as a sum of consecutive naturals, for example, 4279481 + ... + 4279817.

It is an arithmetic number, because the mean of its divisors is an integer number (67048891).

Almost surely, 21442241713 is an apocalyptic number.

It is an amenable number.

1442241713 is a deficient number, since it is larger than the sum of its proper divisors (166931671).

1442241713 is a wasteful number, since it uses less digits than its factorization.

1442241713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 774 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 1442241713 is about 37976.8575977529. The cubic root of 1442241713 is about 1129.8289121508.

The spelling of 1442241713 in words is "one billion, four hundred forty-two million, two hundred forty-one thousand, seven hundred thirteen".

Divisors: 1 11 113 121 313 337 1243 3443 3707 13673 35369 37873 38081 40777 105481 389059 418891 1160291 4279649 4607801 11919353 12763201 131112883 1442241713