Search a number
-
+
14330047732 = 22711134383231
BaseRepresentation
bin11010101100010001…
…10010110011110100
31100222200111211221121
431112020302303310
5213321443011412
610325542353324
71015053252550
oct152610626364
940880454847
1014330047732
116093a35a60
12293b12b844
131474aca5b0
1499d26c860
1558d0ca107
hex356232cf4

14330047732 has 96 divisors (see below), whose sum is σ = 34454052864. Its totient is φ = 5033750400.

The previous prime is 14330047717. The next prime is 14330047759. The reversal of 14330047732 is 23774003341.

14330047732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 130557 + ... + 213787.

It is an arithmetic number, because the mean of its divisors is an integer number (358896384).

Almost surely, 214330047732 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 14330047732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17227026432).

14330047732 is an abundant number, since it is smaller than the sum of its proper divisors (20124005132).

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

14330047732 is a wasteful number, since it uses less digits than its factorization.

14330047732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83309 (or 83307 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 34.

The spelling of 14330047732 in words is "fourteen billion, three hundred thirty million, forty-seven thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 43 44 52 77 86 91 143 154 172 182 286 301 308 364 473 559 572 602 946 1001 1118 1204 1892 2002 2236 3311 3913 4004 6149 6622 7826 12298 13244 15652 24596 43043 83231 86086 166462 172172 332924 582617 915541 1082003 1165234 1831082 2164006 2330468 3578933 3662164 4328012 6408787 7157866 7574021 11902033 12817574 14315732 15148042 23804066 25052531 25635148 30296084 39368263 46526129 47608132 50105062 78736526 83314231 93052258 100210124 157473052 166628462 186104516 275577841 325682903 333256924 511787419 551155682 651365806 1023574838 1102311364 1302731612 2047149676 3582511933 7165023866 14330047732