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14460346230 = 2351168364157
BaseRepresentation
bin11010111011110011…
…10101111101110110
31101022202200200212220
431131321311331312
5214103322034410
610350515223210
71021224625551
oct153571657566
941282620786
1014460346230
116150541170
1229768a7b06
131495abbbb5
149b26a9698
15599767070
hex35de75f76

14460346230 has 64 divisors (see below), whose sum is σ = 37915838208. Its totient is φ = 3500351360.

The previous prime is 14460346223. The next prime is 14460346231. The reversal of 14460346230 is 3264306441.

14460346230 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144603462302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14460346191 and 14460346200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14460346231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193312 + ... + 257468.

It is an arithmetic number, because the mean of its divisors is an integer number (592434972).

Almost surely, 214460346230 is an apocalyptic number.

14460346230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14460346230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18957919104).

14460346230 is an abundant number, since it is smaller than the sum of its proper divisors (23455491978).

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

14460346230 is a wasteful number, since it uses less digits than its factorization.

14460346230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64861.

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 14460346230 in words is "fourteen billion, four hundred sixty million, three hundred forty-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 683 1366 2049 3415 4098 6830 7513 10245 15026 20490 22539 37565 45078 64157 75130 112695 128314 192471 225390 320785 384942 641570 705727 962355 1411454 1924710 2117181 3528635 4234362 7057270 10585905 21171810 43819231 87638462 131457693 219096155 262915386 438192310 482011541 657288465 964023082 1314576930 1446034623 2410057705 2892069246 4820115410 7230173115 14460346230