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12440423200 = 255217914737
BaseRepresentation
bin10111001011000000…
…11100101100100000
31012002222211222101211
423211200130230200
5200434222020300
65414241235504
7620166565252
oct134540345440
935088758354
1012440423200
115304327097
1224b2332b94
13123348a47a
14860305cd2
154cc26b4ba
hex2e581cb20

12440423200 has 72 divisors (see below), whose sum is σ = 32156699652. Its totient is φ = 4683448320.

The previous prime is 12440423179. The next prime is 12440423201. The reversal of 12440423200 is 232404421.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2906072464 + 9534350736 = 53908^2 + 97644^2 .

It is a super-3 number, since 3×124404232003 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12440423201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 443769 + ... + 470968.

Almost surely, 212440423200 is an apocalyptic number.

12440423200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12440423200 is an abundant number, since it is smaller than the sum of its proper divisors (19716276452).

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

12440423200 is a wasteful number, since it uses less digits than its factorization.

12440423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914774 (or 914761 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 12440423200 its reverse (232404421), we get a palindrome (12672827621).

The spelling of 12440423200 in words is "twelve billion, four hundred forty million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 544 680 800 850 1360 1700 2720 3400 6800 13600 914737 1829474 3658948 4573685 7317896 9147370 14635792 15550529 18294740 22868425 29271584 31101058 36589480 45736850 62202116 73178960 77752645 91473700 124404232 146357920 155505290 182947400 248808464 311010580 365894800 388763225 497616928 622021160 731789600 777526450 1244042320 1555052900 2488084640 3110105800 6220211600 12440423200