Search a number
-
+
110244429072 = 243217397113437
BaseRepresentation
bin110011010101100010…
…1000111110100010000
3101112120010100021000200
41212223011013310100
53301240033212242
6122351240415200
710651650120441
oct1465305076420
9345503307020
10110244429072
1142833119308
1219448777500
13a51c03b9ab
14549b84d2c8
152d037cb04c
hex19ab147d10

110244429072 has 120 divisors (see below), whose sum is σ = 327505942296. Its totient is φ = 34499063808.

The previous prime is 110244429059. The next prime is 110244429079. The reversal of 110244429072 is 270924442011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36258253056 + 73986176016 = 190416^2 + 272004^2 .

It is a super-2 number, since 2×1102444290722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (110244429079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 915138 + ... + 1028574.

Almost surely, 2110244429072 is an apocalyptic number.

110244429072 is a gapful number since it is divisible by the number (12) 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 110244429072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163752971148).

110244429072 is an abundant number, since it is smaller than the sum of its proper divisors (217261513224).

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

110244429072 is a wasteful number, since it uses less digits than its factorization.

110244429072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113865 (or 113856 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 110244429072 in words is "one hundred ten billion, two hundred forty-four million, four hundred twenty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 397 408 612 794 816 1191 1224 1588 2382 2448 3176 3573 4764 6352 6749 7146 9528 13498 14292 19056 20247 26996 28584 40494 53992 57168 60741 80988 107984 113437 121482 161976 226874 242964 323952 340311 453748 485928 680622 907496 971856 1020933 1361244 1814992 1928429 2041866 2722488 3856858 4083732 5444976 5785287 7713716 8167464 11570574 15427432 16334928 17355861 23141148 30854864 34711722 45034489 46282296 69423444 90068978 92564592 135103467 138846888 180137956 270206934 277693776 360275912 405310401 540413868 720551824 765586313 810620802 1080827736 1531172626 1621241604 2161655472 2296758939 3062345252 3242483208 4593517878 6124690504 6484966416 6890276817 9187035756 12249381008 13780553634 18374071512 27561107268 36748143024 55122214536 110244429072