Search a number
-
+
4440225140 = 22513192513581
BaseRepresentation
bin1000010001010100…
…00111010101110100
3102110110001210210222
410020222013111310
533043144201030
62012333233512
7215014201541
oct41052072564
912413053728
104440225140
11197943395a
12a3b032898
13559ba8170
143019c9bc8
151aec323e5
hex108a87574

4440225140 has 96 divisors (see below), whose sum is σ = 10615328640. Its totient is φ = 1546560000.

The previous prime is 4440225137. The next prime is 4440225143. The reversal of 4440225140 is 415220444.

It is an interprime number because it is at equal distance from previous prime (4440225137) and next prime (4440225143).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4440225143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1238150 + ... + 1241730.

It is an arithmetic number, because the mean of its divisors is an integer number (110576340).

Almost surely, 24440225140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4440225140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307664320).

4440225140 is an abundant number, since it is smaller than the sum of its proper divisors (6175103500).

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

4440225140 is a wasteful number, since it uses less digits than its factorization.

4440225140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3873 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 4440225140 is about 66635.0143693239. The cubic root of 4440225140 is about 1643.6209331787.

Adding to 4440225140 its reverse (415220444), we get a palindrome (4855445584).

The spelling of 4440225140 in words is "four billion, four hundred forty million, two hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 251 260 380 494 502 988 1004 1235 1255 2470 2510 3263 3581 4769 4940 5020 6526 7162 9538 13052 14324 16315 17905 19076 23845 32630 35810 46553 47690 61997 65260 68039 71620 93106 95380 123994 136078 186212 232765 247988 272156 309985 340195 465530 619970 680390 884507 898831 931060 1239940 1360780 1769014 1797662 3538028 3595324 4422535 4494155 8845070 8988310 11684803 17077789 17690140 17976620 23369606 34155578 46739212 58424015 68311156 85388945 116848030 170777890 222011257 233696060 341555780 444022514 888045028 1110056285 2220112570 4440225140