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10399230144 = 263314474159
BaseRepresentation
bin10011010111101011…
…11010100011000000
3222211201222121221000
421223311322203000
5132244200331034
64435523332000
7515462666142
oct115365724300
928751877830
1010399230144
114457104586
122022821000
13c9961c524
147091a6c92
1540ce6d599
hex26bd7a8c0

10399230144 has 112 divisors (see below), whose sum is σ = 30600294400. Its totient is φ = 3463181568.

The previous prime is 10399230133. The next prime is 10399230151. The reversal of 10399230144 is 44103299301.

10399230144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 10399230099 and 10399230108.

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 15 ways as a sum of consecutive naturals, for example, 2498337 + ... + 2502495.

Almost surely, 210399230144 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 10399230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15300147200).

10399230144 is an abundant number, since it is smaller than the sum of its proper divisors (20201064256).

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

10399230144 is a wasteful number, since it uses less digits than its factorization.

10399230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5627 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10399230144 in words is "ten billion, three hundred ninety-nine million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1447 1728 2894 4159 4341 5788 8318 8682 11576 12477 13023 16636 17364 23152 24954 26046 33272 34728 37431 39069 46304 49908 52092 66544 69456 74862 78138 92608 99816 104184 112293 133088 138912 149724 156276 199632 208368 224586 266176 277824 299448 312552 399264 416736 449172 598896 625104 798528 833472 898344 1197792 1250208 1796688 2395584 2500416 3593376 6018073 7186752 12036146 18054219 24072292 36108438 48144584 54162657 72216876 96289168 108325314 144433752 162487971 192578336 216650628 288867504 324975942 385156672 433301256 577735008 649951884 866602512 1155470016 1299903768 1733205024 2599807536 3466410048 5199615072 10399230144