Search a number
-
+
1444133130 = 2351110342487
BaseRepresentation
bin101011000010011…
…1011100100001010
310201122101120020020
41112010323210022
510424144230010
6355144441310
750533633446
oct12604734412
93648346206
101444133130
116811a2660
12343779236
131a026165b
14d9b1d826
1586bb1470
hex5613b90a

1444133130 has 64 divisors (see below), whose sum is σ = 3817801728. Its totient is φ = 346685760.

The previous prime is 1444133111. The next prime is 1444133161. The reversal of 1444133130 is 313314441.

It is a self number, because there is not a number n which added to its sum of digits gives 1444133130.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12747 + ... + 55233.

It is an arithmetic number, because the mean of its divisors is an integer number (59653152).

Almost surely, 21444133130 is an apocalyptic number.

1444133130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908900864).

1444133130 is an abundant number, since it is smaller than the sum of its proper divisors (2373668598).

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

1444133130 is a wasteful number, since it uses less digits than its factorization.

1444133130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42611.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1444133130 is about 38001.7516701533. The cubic root of 1444133130 is about 1130.3225982641.

Adding to 1444133130 its reverse (313314441), we get a palindrome (1757447571).

It can be divided in two parts, 14 and 44133130, that added together give a palindrome (44133144).

The spelling of 1444133130 in words is "one billion, four hundred forty-four million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 103 110 165 206 309 330 515 618 1030 1133 1545 2266 3090 3399 5665 6798 11330 16995 33990 42487 84974 127461 212435 254922 424870 467357 637305 934714 1274610 1402071 2336785 2804142 4376161 4673570 7010355 8752322 13128483 14020710 21880805 26256966 43761610 48137771 65642415 96275542 131284830 144413313 240688855 288826626 481377710 722066565 1444133130