Search a number
-
+
1411033104 = 2432131574801
BaseRepresentation
bin101010000011010…
…1010100000010000
310122100002220112100
41110012222200100
510342211024404
6352003200400
746652404065
oct12406524020
93570086470
101411033104
11664545068
12334676100
13196442640
14d5584c6c
1583d23d39
hex541aa810

1411033104 has 120 divisors (see below), whose sum is σ = 4280675672. Its totient is φ = 431308800.

The previous prime is 1411033087. The next prime is 1411033111. The reversal of 1411033104 is 4013301141.

It can be written as a sum of positive squares in 4 ways, for example, as 23619600 + 1387413504 = 4860^2 + 37248^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291504 + ... + 296304.

Almost surely, 21411033104 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 1411033104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140337836).

1411033104 is an abundant number, since it is smaller than the sum of its proper divisors (2869642568).

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

1411033104 is a wasteful number, since it uses less digits than its factorization.

1411033104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4985 (or 4976 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1411033104 is about 37563.7205824982. The cubic root of 1411033104 is about 1121.6199729112.

Adding to 1411033104 its reverse (4013301141), we get a palindrome (5424334245).

The spelling of 1411033104 in words is "one billion, four hundred eleven million, thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 157 208 234 312 314 468 471 624 628 936 942 1256 1413 1872 1884 2041 2512 2826 3768 4082 4801 5652 6123 7536 8164 9602 11304 12246 14403 16328 18369 19204 22608 24492 28806 32656 36738 38408 43209 48984 57612 62413 73476 76816 86418 97968 115224 124826 146952 172836 187239 230448 249652 293904 345672 374478 499304 561717 691344 748956 753757 998608 1123434 1497912 1507514 2246868 2261271 2995824 3015028 4493736 4522542 6030056 6783813 8987472 9045084 9798841 12060112 13567626 18090168 19597682 27135252 29396523 36180336 39195364 54270504 58793046 78390728 88189569 108541008 117586092 156781456 176379138 235172184 352758276 470344368 705516552 1411033104