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14234034330 = 2325292892113
BaseRepresentation
bin11010100000110101…
…00010000010011010
31100201222211212022200
431100122202002122
5213122403044310
610312232431030
71012506203235
oct152032420232
940658755280
1014234034330
11604481773a
122912b48476
13145ac51529
149905d841c
155849619c0
hex3506a209a

14234034330 has 144 divisors (see below), whose sum is σ = 38777651640. Its totient is φ = 3621961728.

The previous prime is 14234034313. The next prime is 14234034343. The reversal of 14234034330 is 3343043241.

14234034330 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 545736321 + 13688298009 = 23361^2 + 116997^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14234034294 and 14234034303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6735354 + ... + 6737466.

Almost surely, 214234034330 is an apocalyptic number.

14234034330 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 14234034330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19388825820).

14234034330 is an abundant number, since it is smaller than the sum of its proper divisors (24543617310).

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

14234034330 is a wasteful number, since it uses less digits than its factorization.

14234034330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 14234034330 its reverse (3343043241), we get a palindrome (17577077571).

The spelling of 14234034330 in words is "fourteen billion, two hundred thirty-four million, thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 89 90 145 174 178 261 267 290 435 445 522 534 801 841 870 890 1305 1335 1602 1682 2113 2523 2581 2610 2670 4005 4205 4226 5046 5162 6339 7569 7743 8010 8410 10565 12615 12678 12905 15138 15486 19017 21130 23229 25230 25810 31695 37845 38034 38715 46458 61277 63390 74849 75690 77430 95085 116145 122554 149698 183831 188057 190170 224547 232290 306385 367662 374245 376114 449094 551493 564171 612770 673641 748490 919155 940285 1102986 1122735 1128342 1347282 1692513 1777033 1838310 1880570 2245470 2757465 2820855 3368205 3385026 3554066 5331099 5453653 5514930 5641710 6736410 8462565 8885165 10662198 10907306 15993297 16360959 16925130 17770330 26655495 27268265 31986594 32721918 49082877 53310990 54536530 79966485 81804795 98165754 158155937 159932970 163609590 245414385 316311874 474467811 490828770 790779685 948935622 1423403433 1581559370 2372339055 2846806866 4744678110 7117017165 14234034330