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12413004444 = 223217293312113
BaseRepresentation
bin10111000111101111…
…10110101010011100
31012001002020221221100
423203313312222130
5200410212120234
65411421433100
7616414540221
oct134367665234
935032227840
1012413004444
11529a8a9a65
1224a510b790
13122a8aa359
1485a809948
154c9b52399
hex2e3df6a9c

12413004444 has 144 divisors (see below), whose sum is σ = 34488810720. Its totient is φ = 3746856960.

The previous prime is 12413004421. The next prime is 12413004449. The reversal of 12413004444 is 44440031421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12413004449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5873532 + ... + 5875644.

It is an arithmetic number, because the mean of its divisors is an integer number (239505630).

Almost surely, 212413004444 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 12413004444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17244405360).

12413004444 is an abundant number, since it is smaller than the sum of its proper divisors (22075806276).

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

12413004444 is a wasteful number, since it uses less digits than its factorization.

12413004444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12413004444 its reverse (44440031421), we get a palindrome (56853035865).

The spelling of 12413004444 in words is "twelve billion, four hundred thirteen million, four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 261 306 331 348 493 522 612 662 986 993 1044 1324 1479 1972 1986 2113 2958 2979 3972 4226 4437 5627 5916 5958 6339 8452 8874 9599 11254 11916 12678 16881 17748 19017 19198 22508 25356 28797 33762 35921 38034 38396 50643 57594 61277 67524 71842 76068 86391 101286 107763 115188 122554 143684 163183 172782 183831 202572 215526 245108 323289 326366 345564 367662 431052 489549 551493 646578 652732 699403 735324 979098 1041709 1102986 1293156 1398806 1468647 1958196 2083418 2098209 2205972 2797612 2937294 3125127 4166836 4196418 5874588 6250254 6294627 8392836 9375381 11889851 12500508 12589254 18750762 20282687 23779702 25178508 35669553 37501524 40565374 47559404 60848061 71339106 81130748 107008659 121696122 142678212 182544183 214017318 243392244 344805679 365088366 428034636 689611358 730176732 1034417037 1379222716 2068834074 3103251111 4137668148 6206502222 12413004444