Search a number
-
+
4440060042 = 23111393791277
BaseRepresentation
bin1000010001010010…
…11111000010001010
3102110102202102100020
410020221133002022
533043123410132
62012325521310
7215012613315
oct41051370212
912412672306
104440060042
111979330910
12a3ab73236
13559b4ac82
1430198597c
151aebed52c
hex108a5f08a

4440060042 has 64 divisors (see below), whose sum is σ = 9790502400. Its totient is φ = 1331225280.

The previous prime is 4440060019. The next prime is 4440060067. The reversal of 4440060042 is 2400600444.

It is a junction number, because it is equal to n+sod(n) for n = 4440059994 and 4440060021.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3476308 + ... + 3477584.

It is an arithmetic number, because the mean of its divisors is an integer number (152976600).

Almost surely, 24440060042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4440060042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895251200).

4440060042 is an abundant number, since it is smaller than the sum of its proper divisors (5350442358).

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

4440060042 is a wasteful number, since it uses less digits than its factorization.

4440060042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4440060042 is about 66633.7755346341. The cubic root of 4440060042 is about 1643.6005616973.

Adding to 4440060042 its reverse (2400600444), we get a palindrome (6840660486).

The spelling of 4440060042 in words is "four billion, four hundred forty million, sixty thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 139 278 379 417 758 834 1137 1277 1529 2274 2554 3058 3831 4169 4587 7662 8338 9174 12507 14047 25014 28094 42141 52681 84282 105362 158043 177503 316086 355006 483983 532509 579491 967966 1065018 1158982 1451949 1738473 1952533 2903898 3476946 3905066 5323813 5857599 10647626 11715198 15971439 31942878 67273637 134547274 201820911 403641822 740010007 1480020014 2220030021 4440060042