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214004030222241 = 32724011210149401
BaseRepresentation
bin110000101010001010110010…
…001100111010111110100001
31001001201120210211010111220100
4300222022302030322332201
5211022220223214102431
62035052032210133013
763035165240214300
oct6052126214727641
91031646724114810
10214004030222241
1162208665a94616
12200034b8881169
1392546551866cc
143abbbc9432437
1519b1b08bd24e6
hexc2a2b233afa1

214004030222241 has 36 divisors (see below), whose sum is σ = 360481724166564. Its totient is φ = 121983059520000.

The previous prime is 214004030222219. The next prime is 214004030222249. The reversal of 214004030222241 is 142222030400412.

It is a happy number.

214004030222241 is a `hidden beast` number, since 2 + 1 + 400 + 4 + 0 + 30 + 2 + 2 + 224 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 141738644403216 + 72265385819025 = 11905404^2 + 8500905^2 .

It is not a de Polignac number, because 214004030222241 - 211 = 214004030220193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214004030222249) 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 35 ways as a sum of consecutive naturals, for example, 604897860 + ... + 605251541.

It is an arithmetic number, because the mean of its divisors is an integer number (10013381226849).

Almost surely, 2214004030222241 is an apocalyptic number.

214004030222241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214004030222241 is a deficient number, since it is larger than the sum of its proper divisors (146477693944323).

214004030222241 is a wasteful number, since it uses less digits than its factorization.

214004030222241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210149822 (or 1210149812 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 214004030222241 its reverse (142222030400412), we get a palindrome (356226060622653).

The spelling of 214004030222241 in words is "two hundred fourteen trillion, four billion, thirty million, two hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 401 441 1203 2807 3609 8421 19649 25263 58947 176841 1210149401 3630448203 8471045807 10891344609 25413137421 59297320649 76239412263 177891961947 485269909801 533675885841 1455809729403 3396889368607 4367429188209 10190668105821 23778225580249 30572004317463 71334676740747 214004030222241