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1444200048 = 243217234703
BaseRepresentation
bin101011000010100…
…1011111001110000
310201122111222000200
41112011023321300
510424203400143
6355150115200
750534332524
oct12605137160
93648458020
101444200048
11681238965
123437abb00
131a0285c55
14d9b39d84
1586bc61d3
hex5614be70

1444200048 has 90 divisors (see below), whose sum is σ = 4293613584. Its totient is φ = 453069312.

The previous prime is 1444200047. The next prime is 1444200059. The reversal of 1444200048 is 8400024441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1444199994 and 1444200030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444200047) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24265 + ... + 58967.

Almost surely, 21444200048 is an apocalyptic number.

1444200048 is a gapful number since it is divisible by the number (18) 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 1444200048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146806792).

1444200048 is an abundant number, since it is smaller than the sum of its proper divisors (2849413536).

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

1444200048 is a wasteful number, since it uses less digits than its factorization.

1444200048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34751 (or 34725 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 1444200048 is about 38002.6321193677. The cubic root of 1444200048 is about 1130.3400568944.

Adding to 1444200048 its reverse (8400024441), we get a palindrome (9844224489).

The spelling of 1444200048 in words is "one billion, four hundred forty-four million, two hundred thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1734 2312 2448 2601 3468 4624 5202 6936 10404 13872 20808 34703 41616 69406 104109 138812 208218 277624 312327 416436 555248 589951 624654 832872 1179902 1249308 1665744 1769853 2359804 2498616 3539706 4719608 4997232 5309559 7079412 9439216 10029167 10619118 14158824 20058334 21238236 28317648 30087501 40116668 42476472 60175002 80233336 84952944 90262503 120350004 160466672 180525006 240700008 361050012 481400016 722100024 1444200048