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12884143140 = 22325116507143
BaseRepresentation
bin10111111111111010…
…00110110000100100
31020020220210021201200
423333331012300210
5202341320040030
65530251522500
7634165260351
oct137775066044
936226707650
1012884143140
115511843490
1225b6a59430
1312a439884b
148a320b628
155061b8d60
hex2fff46c24

12884143140 has 72 divisors (see below), whose sum is σ = 42634807488. Its totient is φ = 3123428160.

The previous prime is 12884143127. The next prime is 12884143187. The reversal of 12884143140 is 4134148821.

It is a happy number.

It is a super-2 number, since 2×128841431402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12884143095 and 12884143104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3251592 + ... + 3255551.

It is an arithmetic number, because the mean of its divisors is an integer number (592150104).

Almost surely, 212884143140 is an apocalyptic number.

12884143140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12884143140 is an abundant number, since it is smaller than the sum of its proper divisors (29750664348).

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

12884143140 is a wasteful number, since it uses less digits than its factorization.

12884143140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6507169 (or 6507164 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 12884143140 in words is "twelve billion, eight hundred eighty-four million, one hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 6507143 13014286 19521429 26028572 32535715 39042858 58564287 65071430 71578573 78085716 97607145 117128574 130142860 143157146 195214290 214735719 234257148 286314292 292821435 357892865 390428580 429471438 585642870 644207157 715785730 858942876 1073678595 1171285740 1288414314 1431571460 2147357190 2576828628 3221035785 4294714380 6442071570 12884143140