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1444504144 = 241723733163
BaseRepresentation
bin101011000011001…
…0110001001010000
310201200002102011111
41112012112021100
510424243113034
6355200423104
750540040226
oct12606261120
93650072144
101444504144
11681426386
12343917a94
131a03614a5
14d9bb8b16
1586c36364
hex56196250

1444504144 has 80 divisors (see below), whose sum is σ = 3135549312. Its totient is φ = 641101824.

The previous prime is 1444504141. The next prime is 1444504163. The reversal of 1444504144 is 4414054441.

It is a super-3 number, since 3×14445041443 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444504141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455107 + ... + 458269.

Almost surely, 21444504144 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 1444504144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567774656).

1444504144 is an abundant number, since it is smaller than the sum of its proper divisors (1691045168).

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

1444504144 is a wasteful number, since it uses less digits than its factorization.

1444504144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

The square root of 1444504144 is about 38006.6328947988. The cubic root of 1444504144 is about 1130.4193874940.

Adding to 1444504144 its reverse (4414054441), we get a palindrome (5858558585).

The spelling of 1444504144 in words is "one billion, four hundred forty-four million, five hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 23 34 46 68 73 92 136 146 184 272 292 368 391 584 782 1168 1241 1564 1679 2482 3128 3163 3358 4964 6256 6326 6716 9928 12652 13432 19856 25304 26864 28543 50608 53771 57086 72749 107542 114172 145498 215084 228344 230899 290996 430168 456688 461798 581992 860336 923596 1163984 1236733 1847192 2473466 3694384 3925283 4946932 5310677 7850566 9893864 10621354 15701132 19787728 21242708 31402264 42485416 62804528 84970832 90281509 180563018 361126036 722252072 1444504144