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14032284320 = 255196197457
BaseRepresentation
bin11010001000110001…
…11010101010100000
31100012221012220100002
431010120322222200
5212214231044240
610240224315132
71004506306625
oct150430725240
940187186302
1014032284320
115a5094999a
122877472aa8
131428203822
149718bc34c
15571dadd15
hex34463aaa0

14032284320 has 96 divisors (see below), whose sum is σ = 34957137600. Its totient is φ = 5308194816.

The previous prime is 14032284307. The next prime is 14032284359. The reversal of 14032284320 is 2348223041.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1878032 + ... + 1885488.

It is an arithmetic number, because the mean of its divisors is an integer number (364136850).

Almost surely, 214032284320 is an apocalyptic number.

14032284320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14032284320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17478568800).

14032284320 is an abundant number, since it is smaller than the sum of its proper divisors (20924853280).

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

14032284320 is a wasteful number, since it uses less digits than its factorization.

14032284320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8110 (or 8102 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 14032284320 in words is "fourteen billion, thirty-two million, two hundred eighty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 619 760 1238 1520 2476 3040 3095 4952 6190 7457 9904 11761 12380 14914 19808 23522 24760 29828 37285 47044 49520 58805 59656 74570 94088 99040 117610 119312 141683 149140 188176 235220 238624 283366 298280 376352 470440 566732 596560 708415 940880 1133464 1193120 1416830 1881760 2266928 2833660 4533856 4615883 5667320 9231766 11334640 18463532 22669280 23079415 36927064 46158830 73854128 87701777 92317660 147708256 175403554 184635320 350807108 369270640 438508885 701614216 738541280 877017770 1403228432 1754035540 2806456864 3508071080 7016142160 14032284320