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12440243424 = 253789208003
BaseRepresentation
bin10111001010111111…
…10000110011100000
31012002222111211210110
423211133300303200
5200434200242144
65414233331320
7620165216160
oct134537606340
935088454713
1012440243424
115304214014
1224b2266b40
1312334266ab
1486029a5a0
154cc2330b9
hex2e57f0ce0

12440243424 has 96 divisors (see below), whose sum is σ = 37740245760. Its totient is φ = 3514401792.

The previous prime is 12440243393. The next prime is 12440243467. The reversal of 12440243424 is 42434204421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12440243391 and 12440243400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44194 + ... + 163809.

It is an arithmetic number, because the mean of its divisors is an integer number (393127560).

Almost surely, 212440243424 is an apocalyptic number.

12440243424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12440243424 is an abundant number, since it is smaller than the sum of its proper divisors (25300002336).

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

12440243424 is a wasteful number, since it uses less digits than its factorization.

12440243424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208112 (or 208104 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 12440243424 its reverse (42434204421), we get a palindrome (54874447845).

The spelling of 12440243424 in words is "twelve billion, four hundred forty million, two hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 89 96 112 168 178 224 267 336 356 534 623 672 712 1068 1246 1424 1869 2136 2492 2848 3738 4272 4984 7476 8544 9968 14952 19936 29904 59808 208003 416006 624009 832012 1248018 1456021 1664024 2496036 2912042 3328048 4368063 4992072 5824084 6656096 8736126 9984144 11648168 17472252 18512267 19968288 23296336 34944504 37024534 46592672 55536801 69889008 74049068 111073602 129585869 139778016 148098136 222147204 259171738 296196272 388757607 444294408 518343476 592392544 777515214 888588816 1036686952 1555030428 1777177632 2073373904 3110060856 4146747808 6220121712 12440243424