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214222351003434 = 23211901241722413
BaseRepresentation
bin110000101101010110000111…
…001000100110111100101010
31001002111110022222012022111100
4300231112013020212330222
5211034304333324102214
62035340220042142230
763060024363224454
oct6055260710467452
91032443288168440
10214222351003434
11622922094158a4
1220039887ab1976
13926c108ccbac7
143ac85ba7a32d4
1519b7635776309
hexc2d587226f2a

214222351003434 has 12 divisors (see below), whose sum is σ = 464148427174146. Its totient is φ = 71407450334472.

The previous prime is 214222351003433. The next prime is 214222351003471. The reversal of 214222351003434 is 434300153222412.

214222351003434 is a `hidden beast` number, since 2 + 1 + 42 + 223 + 51 + 0 + 0 + 343 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 193315737862809 + 20906613140625 = 13903803^2 + 4572375^2 .

It is a super-3 number, since 3×2142223510034343 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (214222351003433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5950620861189 + ... + 5950620861224.

Almost surely, 2214222351003434 is an apocalyptic number.

214222351003434 is an abundant number, since it is smaller than the sum of its proper divisors (249926076170712).

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

214222351003434 is a wasteful number, since it uses less digits than its factorization.

214222351003434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11901241722421 (or 11901241722418 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 214222351003434 in words is "two hundred fourteen trillion, two hundred twenty-two billion, three hundred fifty-one million, three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 11901241722413 23802483444826 35703725167239 71407450334478 107111175501717 214222351003434