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412242420613023 = 327111353863376499
BaseRepresentation
bin101110110111011101010101…
…1000010101011111110011111
32000001121222202002111022202100
41131232322223002223332133
5413013134434134104043
64020433315324100143
7152555350325110440
oct13556725302537637
92001558662438670
10412242420613023
1110a398035331070
123a29b414694653
13149043a7964150
1473b28d517d2c7
15329d588753cd3
hex176eeab0abf9f

412242420613023 has 96 divisors (see below), whose sum is σ = 814585367232000. Its totient is φ = 193948896510720.

The previous prime is 412242420613021. The next prime is 412242420613033. The reversal of 412242420613023 is 320316024242214.

412242420613023 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 424 + 206 + 1 + 3 + 0 + 23 = 666.

It is not a de Polignac number, because 412242420613023 - 21 = 412242420613021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412242420613021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 431210773 + ... + 432165726.

It is an arithmetic number, because the mean of its divisors is an integer number (8485264242000).

Almost surely, 2412242420613023 is an apocalyptic number.

412242420613023 is a deficient number, since it is larger than the sum of its proper divisors (402342946618977).

412242420613023 is a wasteful number, since it uses less digits than its factorization.

412242420613023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863376589 (or 863376586 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 412242420613023 its reverse (320316024242214), we get a palindrome (732558444855237).

The spelling of 412242420613023 in words is "four hundred twelve trillion, two hundred forty-two billion, four hundred twenty million, six hundred thirteen thousand, twenty-three".

Divisors: 1 3 7 9 11 13 21 33 39 53 63 77 91 99 117 143 159 231 273 371 429 477 583 689 693 819 1001 1113 1287 1749 2067 3003 3339 4081 4823 5247 6201 7579 9009 12243 14469 22737 36729 43407 53053 68211 159159 477477 863376499 2590129497 6043635493 7770388491 9497141489 11223894487 18130906479 28491424467 33671683461 45758954447 54392719437 66479990423 78567261409 85474273401 101015050383 123462839357 137276863341 199439971269 235701784227 320312681129 370388518071 411830590023 503348498917 594866407811 598319913807 707105352681 864239875499 960938043387 1111165554213 1510045496751 1784599223433 2592719626497 2882814130161 3523439492419 4164064854677 4530136490253 5353797670299 6543530485921 7778158879491 10570318477257 12492194564031 19630591457763 31710955431771 37476583692093 45804713401447 58891774373289 137414140204341 412242420613023