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14205717232 = 2471965310223
BaseRepresentation
bin11010011101011101…
…00000101011110000
31100200000120012120021
431032232200223300
5213043130422412
610305341453224
71012013414140
oct151656405360
940600505507
1014205717232
11602a836683
122905571214
131455118555
1498a946920
1558221b607
hex34eba0af0

14205717232 has 80 divisors (see below), whose sum is σ = 33165020160. Its totient is φ = 5758338816.

The previous prime is 14205717203. The next prime is 14205717247. The reversal of 14205717232 is 23271750241.

14205717232 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 15 ways as a sum of consecutive naturals, for example, 1384473 + ... + 1394695.

It is an arithmetic number, because the mean of its divisors is an integer number (414562752).

Almost surely, 214205717232 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 14205717232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16582510080).

14205717232 is an abundant number, since it is smaller than the sum of its proper divisors (18959302928).

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

14205717232 is a wasteful number, since it uses less digits than its factorization.

14205717232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10910 (or 10904 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The spelling of 14205717232 in words is "fourteen billion, two hundred five million, seven hundred seventeen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 653 1064 1306 2128 2612 4571 5224 9142 10223 10448 12407 18284 20446 24814 36568 40892 49628 71561 73136 81784 86849 99256 143122 163568 173698 194237 198512 286244 347396 388474 572488 694792 776948 1144976 1359659 1389584 1553896 2719318 3107792 5438636 6675619 10877272 13351238 21754544 26702476 46729333 53404952 93458666 106809904 126836761 186917332 253673522 373834664 507347044 747669328 887857327 1014694088 1775714654 2029388176 3551429308 7102858616 14205717232