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14384767540 = 225111322722157
BaseRepresentation
bin11010110010110011…
…00010001000110100
31101010111110220102011
431121121202020310
5213430000030130
610335215254004
71016316335533
oct153131421064
941114426364
1014384767540
11611190a840
12295551a304
131483249090
149a663431a
15592cd852a
hex359662234

14384767540 has 96 divisors (see below), whose sum is σ = 35647081344. Its totient is φ = 4806965760.

The previous prime is 14384767531. The next prime is 14384767547. The reversal of 14384767540 is 4576748341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14384767547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638142 + ... + 660298.

It is an arithmetic number, because the mean of its divisors is an integer number (371323764).

Almost surely, 214384767540 is an apocalyptic number.

14384767540 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 14384767540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17823540672).

14384767540 is an abundant number, since it is smaller than the sum of its proper divisors (21262313804).

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

14384767540 is a wasteful number, since it uses less digits than its factorization.

14384767540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22417 (or 22415 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 49.

The spelling of 14384767540 in words is "fourteen billion, three hundred eighty-four million, seven hundred sixty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 227 260 286 454 572 715 908 1135 1430 2270 2497 2860 2951 4540 4994 5902 9988 11804 12485 14755 22157 24970 29510 32461 44314 49940 59020 64922 88628 110785 129844 162305 221570 243727 288041 324610 443140 487454 576082 649220 974908 1152164 1218635 1440205 2437270 2880410 3168451 4874540 5029639 5760820 6336902 10059278 12673804 15842255 20118556 25148195 31684510 50296390 55326029 63369020 65385307 100592780 110652058 130770614 221304116 261541228 276630145 326926535 553260290 653853070 719238377 1106520580 1307706140 1438476754 2876953508 3596191885 7192383770 14384767540