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14343288520 = 23511232415881
BaseRepresentation
bin11010101101110110…
…10011011011001000
31101000121102112220011
431112323103123020
5213333340213040
610331134241304
71015303640461
oct152673233310
941017375804
1014343288520
1160a0459a60
122943656234
131477785292
149a0d17d68
1558e3433ea
hex356ed36c8

14343288520 has 128 divisors (see below), whose sum is σ = 36895668480. Its totient is φ = 4967424000.

The previous prime is 14343288517. The next prime is 14343288551. The reversal of 14343288520 is 2588234341.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2435980 + ... + 2441860.

It is an arithmetic number, because the mean of its divisors is an integer number (288247410).

Almost surely, 214343288520 is an apocalyptic number.

14343288520 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 14343288520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18447834240).

14343288520 is an abundant number, since it is smaller than the sum of its proper divisors (22552379960).

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

14343288520 is a wasteful number, since it uses less digits than its factorization.

14343288520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6167 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 14343288520 in words is "fourteen billion, three hundred forty-three million, two hundred eighty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 241 253 440 460 482 506 920 964 1012 1205 1265 1928 2024 2410 2530 2651 4820 5060 5302 5543 5881 9640 10120 10604 11086 11762 13255 21208 22172 23524 26510 27715 29405 44344 47048 53020 55430 58810 60973 64691 106040 110860 117620 121946 129382 135263 221720 235240 243892 258764 270526 304865 323455 487784 517528 541052 609730 646910 676315 1082104 1219460 1293820 1352630 1417321 1487893 2438920 2587640 2705260 2834642 2975786 5410520 5669284 5951572 7086605 7439465 11338568 11903144 14173210 14878930 15590531 28346420 29757860 31181062 32598383 56692840 59515720 62362124 65196766 77952655 124724248 130393532 155905310 162991915 260787064 311810620 325983830 358582213 623621240 651967660 717164426 1303935320 1434328852 1792911065 2868657704 3585822130 7171644260 14343288520