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12014023420 = 2257171672181
BaseRepresentation
bin10110011000001011…
…10111001011111100
31011000021111121212101
423030011313023330
5144101042222140
65304050114444
7603501341230
oct131405671374
934007447771
1012014023420
11510566a683
1223b357ba24
1311960347c9
1481d82c5c0
154a4ae099a
hex2cc1772fc

12014023420 has 144 divisors (see below), whose sum is σ = 30883349952. Its totient is φ = 3832289280.

The previous prime is 12014023409. The next prime is 12014023477. The reversal of 12014023420 is 2432041021.

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 47 ways as a sum of consecutive naturals, for example, 66375730 + ... + 66375910.

It is an arithmetic number, because the mean of its divisors is an integer number (214467708).

Almost surely, 212014023420 is an apocalyptic number.

12014023420 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 12014023420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15441674976).

12014023420 is an abundant number, since it is smaller than the sum of its proper divisors (18869326532).

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

12014023420 is a wasteful number, since it uses less digits than its factorization.

12014023420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12014023420 its reverse (2432041021), we get a palindrome (14446064441).

The spelling of 12014023420 in words is "twelve billion, fourteen million, twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 167 170 181 238 334 340 362 476 595 668 724 835 905 1169 1190 1267 1670 1810 2338 2380 2534 2839 3077 3340 3620 4676 5068 5678 5845 6154 6335 11356 11690 12308 12670 14195 15385 19873 21539 23380 25340 27889 28390 30227 30770 39746 43078 55778 56780 60454 61540 79492 86156 99365 107695 111556 120908 139445 151135 195223 198730 211589 215390 278890 302270 390446 397460 423178 430780 474113 513859 557780 604540 780892 846356 948226 976115 1027718 1057945 1896452 1952230 2055436 2115890 2370565 2569295 3318791 3597013 3904460 4231780 4741130 5047909 5138590 6637582 7194026 9482260 10095818 10277180 13275164 14388052 16593955 17985065 20191636 25239545 33187910 35335363 35970130 50479090 66375820 70670726 71940260 85814453 100958180 141341452 171628906 176676815 343257812 353353630 429072265 600701171 706707260 858144530 1201402342 1716289060 2402804684 3003505855 6007011710 12014023420