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412432203130112 = 28111733200342193
BaseRepresentation
bin101110111000110101101101…
…0111101100010010100000000
32000002022010121100210002122202
41131301223122331202110000
5413024242123000130422
64021100423302052332
7152605146320641514
oct13561533275422400
92002263540702582
10412432203130112
1110a460573644110
123a31015a41a0a8
13149192611ca039
1473bbb7a288144
1532a3494baab92
hex1771adaf62500

412432203130112 has 144 divisors (see below), whose sum is σ = 899082728849088. Its totient is φ = 187263028592640.

The previous prime is 412432203130109. The next prime is 412432203130141. The reversal of 412432203130112 is 211031302234214.

It is a happy number.

It is a super-2 number, since 2×4124322031301122 (a number of 30 digits) contains 22 as substring.

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, 9774875288 + ... + 9774917480.

It is an arithmetic number, because the mean of its divisors is an integer number (6243630061452).

Almost surely, 2412432203130112 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 412432203130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449541364424544).

412432203130112 is an abundant number, since it is smaller than the sum of its proper divisors (486650525718976).

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

412432203130112 is a wasteful number, since it uses less digits than its factorization.

412432203130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45956 (or 45942 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 412432203130112 its reverse (211031302234214), we get a palindrome (623463505364326).

The spelling of 412432203130112 in words is "four hundred twelve trillion, four hundred thirty-two billion, two hundred three million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 1733 2003 2816 3466 4006 6932 8012 13864 16024 19063 22033 27728 32048 38126 42193 44066 55456 64096 76252 84386 88132 110912 128192 152504 168772 176264 221824 256384 305008 337544 352528 443648 464123 512768 610016 675088 705056 928246 1220032 1350176 1410112 1856492 2440064 2700352 2820224 3471199 3712984 4880128 5400704 5640448 6942398 7425968 10801408 13884796 14851936 27769592 29703872 38183189 55539184 59407744 73120469 76366378 84512579 111078368 118815488 146240938 152732756 169025158 222156736 292481876 305465512 338050316 444313472 584963752 610931024 676100632 804325159 888626944 929638369 1169927504 1221862048 1352201264 1608650318 1859276738 2339855008 2443724096 2704402528 3217300636 3718553476 4679710016 4887448192 5408805056 6434601272 7437106952 9359420032 9774896384 10817610112 12869202544 14874213904 18718840064 21635220224 25738405088 29748427808 51476810176 59496855616 102953620352 118993711232 146460299407 205907240704 237987422464 292920598814 585841197628 1171682395256 1611063293477 2343364790512 3222126586954 4686729581024 6444253173908 9373459162048 12888506347816 18746918324096 25777012695632 37493836648192 51554025391264 103108050782528 206216101565056 412432203130112