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14141283576 = 2337313712539
BaseRepresentation
bin11010010101110001…
…01101110011111000
31100111112022122012120
431022320231303320
5212430132033301
610255120441240
71010301633000
oct151270556370
940445278176
1014141283576
115aa7427722
1228a7a79220
131444978524
14982173000
1557b73ee36
hex34ae2dcf8

14141283576 has 128 divisors (see below), whose sum is σ = 41532480000. Its totient is φ = 4010555136.

The previous prime is 14141283551. The next prime is 14141283619. The reversal of 14141283576 is 67538214141.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1121515 + ... + 1134053.

It is an arithmetic number, because the mean of its divisors is an integer number (324472500).

Almost surely, 214141283576 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 14141283576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20766240000).

14141283576 is an abundant number, since it is smaller than the sum of its proper divisors (27391196424).

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

14141283576 is a wasteful number, since it uses less digits than its factorization.

14141283576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12706 (or 12688 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The spelling of 14141283576 in words is "fourteen billion, one hundred forty-one million, two hundred eighty-three thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 137 147 168 196 274 294 343 392 411 548 588 686 822 959 1029 1096 1176 1372 1644 1918 2058 2744 2877 3288 3836 4116 5754 6713 7672 8232 11508 12539 13426 20139 23016 25078 26852 37617 40278 46991 50156 53704 75234 80556 87773 93982 100312 140973 150468 161112 175546 187964 263319 281946 300936 351092 375928 526638 563892 614411 702184 1053276 1127784 1228822 1717843 1843233 2106552 2457644 3435686 3686466 4300877 4915288 5153529 6871372 7372932 8601754 10307058 12024901 12902631 13742744 14745864 17203508 20614116 24049802 25805262 34407016 36074703 41228232 48099604 51610524 72149406 84174307 96199208 103221048 144298812 168348614 252522921 288597624 336697228 505045842 589220149 673394456 1010091684 1178440298 1767660447 2020183368 2356880596 3535320894 4713761192 7070641788 14141283576