Search a number
-
+
16441044900 = 22352731325013
BaseRepresentation
bin11110100111111011…
…00110111110100100
31120102210201121122220
433103331212332210
5232132401414100
611315232352340
71121265401340
oct172375467644
946383647586
1016441044900
116a775a5415
12322a0a56b0
131720268b47
14b1d77c620
156635b5aa0
hex3d3f66fa4

16441044900 has 144 divisors (see below), whose sum is σ = 54540925824. Its totient is φ = 3745797120.

The previous prime is 16441044881. The next prime is 16441044941. The reversal of 16441044900 is 944014461.

It is a super-3 number, since 3×164410449003 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644794 + ... + 669806.

Almost surely, 216441044900 is an apocalyptic number.

16441044900 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 16441044900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27270462912).

16441044900 is an abundant number, since it is smaller than the sum of its proper divisors (38099880924).

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

16441044900 is a wasteful number, since it uses less digits than its factorization.

16441044900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25350 (or 25343 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 16441044900 in words is "sixteen billion, four hundred forty-one million, forty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 313 350 420 525 626 700 939 1050 1252 1565 1878 2100 2191 3130 3756 4382 4695 6260 6573 7825 8764 9390 10955 13146 15650 18780 21910 23475 25013 26292 31300 32865 43820 46950 50026 54775 65730 75039 93900 100052 109550 125065 131460 150078 164325 175091 219100 250130 300156 328650 350182 375195 500260 525273 625325 657300 700364 750390 875455 1050546 1250650 1500780 1750910 1875975 2101092 2501300 2626365 3501820 3751950 4377275 5252730 7503900 7829069 8754550 10505460 13131825 15658138 17509100 23487207 26263650 31316276 39145345 46974414 52527300 54803483 78290690 93948828 109606966 117436035 156581380 164410449 195726725 219213932 234872070 274017415 328820898 391453450 469744140 548034830 587180175 657641796 782906900 822052245 1096069660 1174360350 1370087075 1644104490 2348720700 2740174150 3288208980 4110261225 5480348300 8220522450 16441044900