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14302031430 = 2353713794049
BaseRepresentation
bin11010101000111011…
…11010111001000110
31100220201210110210210
431110131322321012
5213242310001210
610323102100250
71014263155431
oct152435727106
940821713723
1014302031430
11607a13a995
12293187a686
13146c06b4bb
14999658818
1558a8e3e20
hex35477ae46

14302031430 has 64 divisors (see below), whose sum is σ = 35510270400. Its totient is φ = 3683672064.

The previous prime is 14302031423. The next prime is 14302031437. The reversal of 14302031430 is 3413020341.

It is an interprime number because it is at equal distance from previous prime (14302031423) and next prime (14302031437).

It is a junction number, because it is equal to n+sod(n) for n = 14302031397 and 14302031406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14302031437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105046 + ... + 199094.

It is an arithmetic number, because the mean of its divisors is an integer number (554847975).

Almost surely, 214302031430 is an apocalyptic number.

14302031430 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 14302031430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17755135200).

14302031430 is an abundant number, since it is smaller than the sum of its proper divisors (21208238970).

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

14302031430 is a wasteful number, since it uses less digits than its factorization.

14302031430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94233.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 14302031430 its reverse (3413020341), we get a palindrome (17715051771).

The spelling of 14302031430 in words is "fourteen billion, three hundred two million, thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 137 185 222 274 370 411 555 685 822 1110 1370 2055 4110 5069 10138 15207 25345 30414 50690 76035 94049 152070 188098 282147 470245 564294 940490 1410735 2821470 3479813 6959626 10439439 12884713 17399065 20878878 25769426 34798130 38654139 52197195 64423565 77308278 104394390 128847130 193270695 386541390 476734381 953468762 1430203143 2383671905 2860406286 4767343810 7151015715 14302031430