Search a number
-
+
1044443132200 = 2352133943101879
BaseRepresentation
bin11110011001011011010…
…10010111000100101000
310200211220001000110112101
433030231222113010220
5114103004420212300
62115451025023144
7135313163100016
oct17145552270450
93624801013471
101044443132200
11372a44a12a16
1214a505a84ab4
137764ba034c0
14387a0b598b6
151c27d356b6a
hexf32da97128

1044443132200 has 96 divisors (see below), whose sum is σ = 2615813827200. Its totient is φ = 385538952960.

The previous prime is 1044443132189. The next prime is 1044443132207. The reversal of 1044443132200 is 22313444401.

1044443132200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10444431322003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1044443132207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10200861 + ... + 10302739.

It is an arithmetic number, because the mean of its divisors is an integer number (27248060700).

Almost surely, 21044443132200 is an apocalyptic number.

1044443132200 is a gapful number since it is divisible by the number (10) 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 1044443132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307906913600).

1044443132200 is an abundant number, since it is smaller than the sum of its proper divisors (1571370695000).

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

1044443132200 is a wasteful number, since it uses less digits than its factorization.

1044443132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105851 (or 105842 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1044443132200 its reverse (22313444401), we get a palindrome (1066756576601).

The spelling of 1044443132200 in words is "one trillion, forty-four billion, four hundred forty-three million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 3943 7886 15772 19715 31544 39430 51259 78860 98575 101879 102518 157720 197150 203758 205036 256295 394300 407516 410072 509395 512590 788600 815032 1018790 1025180 1281475 1324427 2037580 2050360 2546975 2562950 2648854 4075160 5093950 5125900 5297708 6622135 10187900 10251800 10595416 13244270 20375800 26488540 33110675 52977080 66221350 132442700 264885400 401708897 803417794 1606835588 2008544485 3213671176 4017088970 5222215661 8034177940 10042722425 10444431322 16068355880 20085444850 20888862644 26111078305 40170889700 41777725288 52222156610 80341779400 104444313220 130555391525 208888626440 261110783050 522221566100 1044443132200