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16444012130 = 25713591631879
BaseRepresentation
bin11110101000010001…
…11011011001100010
31120110000022100221022
433110020323121202
5232134131342010
611315420125442
71121332540220
oct172410733142
946400270838
1016444012130
116a79241777
12322b096882
131720a675c0
14b1dd11b10
1566399ed55
hex3d423b662

16444012130 has 128 divisors (see below), whose sum is σ = 37294387200. Its totient is φ = 5081958144.

The previous prime is 16444012069. The next prime is 16444012163. The reversal of 16444012130 is 3121044461.

It is a happy number.

16444012130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164440121303 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 16444012130.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8750531 + ... + 8752409.

It is an arithmetic number, because the mean of its divisors is an integer number (291362400).

Almost surely, 216444012130 is an apocalyptic number.

16444012130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16444012130 is an abundant number, since it is smaller than the sum of its proper divisors (20850375070).

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

16444012130 is a wasteful number, since it uses less digits than its factorization.

16444012130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 16444012130 its reverse (3121044461), we get a palindrome (19565056591).

The spelling of 16444012130 in words is "sixteen billion, four hundred forty-four million, twelve thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 59 65 70 91 118 130 163 182 295 326 413 455 590 767 815 826 910 1141 1534 1630 1879 2065 2119 2282 3758 3835 4130 4238 5369 5705 7670 9395 9617 10595 10738 11410 13153 14833 18790 19234 21190 24427 26306 26845 29666 48085 48854 53690 65765 67319 74165 96170 110861 122135 125021 131530 134638 148330 170989 221722 244270 250042 306277 336595 341978 554305 612554 625105 673190 776027 854945 875147 1108610 1250210 1441193 1531385 1552054 1709890 1750294 2143939 2882386 3062770 3880135 3981601 4287878 4375735 7205965 7760270 7963202 8751470 10088351 10719695 14411930 18070343 19908005 20176702 21439390 27871207 36140686 39816010 50441755 55742414 90351715 100883510 126492401 139356035 180703430 234914459 252984802 278712070 469828918 632462005 1174572295 1264924010 1644401213 2349144590 3288802426 8222006065 16444012130