Search a number
-
+
12002414424 = 23371113499601
BaseRepresentation
bin10110010110110011…
…00100111101011000
31010222110122211022120
423023121210331120
5144040104230144
65302553221240
7603300560610
oct131331447530
933873584276
1012002414424
1150aa060670
1223ab701820
1311937cb790
1481c089a40
154a3a9ae19
hex2cb664f58

12002414424 has 128 divisors (see below), whose sum is σ = 40287905280. Its totient is φ = 2877696000.

The previous prime is 12002414419. The next prime is 12002414447. The reversal of 12002414424 is 42441420021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12002414394 and 12002414403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225777 + ... + 273824.

It is an arithmetic number, because the mean of its divisors is an integer number (314749260).

Almost surely, 212002414424 is an apocalyptic number.

12002414424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12002414424 is an abundant number, since it is smaller than the sum of its proper divisors (28285490856).

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

12002414424 is a wasteful number, since it uses less digits than its factorization.

12002414424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499641 (or 499637 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12002414424 its reverse (42441420021), we get a palindrome (54443834445).

It can be divided in two parts, 12002 and 414424, that added together give a triangular number (426426 = T923).

The spelling of 12002414424 in words is "twelve billion, two million, four hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 12012 24024 499601 999202 1498803 1998404 2997606 3497207 3996808 5495611 5995212 6494813 6994414 10491621 10991222 11990424 12989626 13988828 16486833 19484439 20983242 21982444 25979252 27977656 32973666 38469277 38968878 41966484 43964888 45463691 51958504 65947332 71442943 76938554 77937756 83932968 90927382 115407831 131894664 136391073 142885886 153877108 155875512 181854764 214328829 230815662 272782146 285771772 307754216 363709528 428657658 461631324 500100601 545564292 571543544 857315316 923262648 1000201202 1091128584 1500301803 1714630632 2000402404 3000603606 4000804808 6001207212 12002414424