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412222434022404 = 223211450623167289
BaseRepresentation
bin101110110111010100000001…
…1101111111001010000000100
32000001120002011012012022201100
41131232220003233321100010
5413012323021102204104
64020420212154100100
7152554042124643105
oct13556500357712004
92001502135168640
10412222434022404
1110a38a609430785
123a29757711a630
1314902540ca2b75
1473b195a9883ac
15329ccb8c86139
hex176ea03bf9404

412222434022404 has 18 divisors (see below), whose sum is σ = 1042006708223390. Its totient is φ = 137407478007456.

The previous prime is 412222434022403. The next prime is 412222434022423. The reversal of 412222434022404 is 404220434222214.

412222434022404 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 2 + 2 + 4 + 3 + 402 + 240 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 374408568129600 + 37813865892804 = 19349640^2 + 6149298^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×4122224340224042 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11450623167289 = 412222434022404 / (4 + 1 + 2 + 2 + 2 + 2 + 4 + 3 + 4 + 0 + 2 + 2 + 4 + 0 + 4).

It is not an unprimeable number, because it can be changed into a prime (412222434022403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5725311583609 + ... + 5725311583680.

Almost surely, 2412222434022404 is an apocalyptic number.

It is an amenable number.

412222434022404 is an abundant number, since it is smaller than the sum of its proper divisors (629784274200986).

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

412222434022404 is a wasteful number, since it uses less digits than its factorization.

412222434022404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11450623167299 (or 11450623167294 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 412222434022404 its reverse (404220434222214), we get a palindrome (816442868244618).

The spelling of 412222434022404 in words is "four hundred twelve trillion, two hundred twenty-two billion, four hundred thirty-four million, twenty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 11450623167289 22901246334578 34351869501867 45802492669156 68703739003734 103055608505601 137407478007468 206111217011202 412222434022404