Search a number
-
+
4440134440 = 2357149106427
BaseRepresentation
bin1000010001010011…
…10001001100101000
3102110102220012101201
410020221301030220
533043133300230
62012331253544
7215013343240
oct41051611450
912412805351
104440134440
1119793817a5
12a3abaa2b4
13559b75ab1
143019a4b20
151aec155ca
hex108a71328

4440134440 has 64 divisors (see below), whose sum is σ = 11494224000. Its totient is φ = 1512100608.

The previous prime is 4440134411. The next prime is 4440134459. The reversal of 4440134440 is 444310444.

It is a super-2 number, since 2×44401344402 = 39429587690548227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4440134399 and 4440134408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11494 + ... + 94933.

It is an arithmetic number, because the mean of its divisors is an integer number (179597250).

Almost surely, 24440134440 is an apocalyptic number.

4440134440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4440134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5747112000).

4440134440 is an abundant number, since it is smaller than the sum of its proper divisors (7054089560).

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

4440134440 is a wasteful number, since it uses less digits than its factorization.

4440134440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106594 (or 106590 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 4440134440 is about 66634.3337927228. Note that the first 3 decimals coincide. The cubic root of 4440134440 is about 1643.6097417467.

Adding to 4440134440 its reverse (444310444), we get a palindrome (4884444884).

The spelling of 4440134440 in words is "four billion, four hundred forty million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 149 280 298 596 745 1043 1192 1490 2086 2980 4172 5215 5960 8344 10430 20860 41720 106427 212854 425708 532135 744989 851416 1064270 1489978 2128540 2979956 3724945 4257080 5959912 7449890 14899780 15857623 29799560 31715246 63430492 79288115 111003361 126860984 158576230 222006722 317152460 444013444 555016805 634304920 888026888 1110033610 2220067220 4440134440