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434424100221 = 32611395692811
BaseRepresentation
bin1100101001001011011…
…00011011010101111101
31112112022202120211221200
412110211230123111331
524104200032201341
6531323252050113
743246301632146
oct6244554332575
91475282524850
10434424100221
11158269096401
127023b903939
1331c73453c07
1417051ddaacd
15b478b1bdb6
hex6525b1b57d

434424100221 has 24 divisors (see below), whose sum is σ = 642376906080. Its totient is φ = 282818800800.

The previous prime is 434424100217. The next prime is 434424100267. The reversal of 434424100221 is 122001424434.

434424100221 is a `hidden beast` number, since 4 + 3 + 4 + 424 + 10 + 0 + 221 = 666.

It is not a de Polignac number, because 434424100221 - 22 = 434424100217 is a prime.

It is a super-3 number, since 3×4344241002213 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434424100321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2770095 + ... + 2922716.

It is an arithmetic number, because the mean of its divisors is an integer number (26765704420).

Almost surely, 2434424100221 is an apocalyptic number.

It is an amenable number.

434424100221 is a deficient number, since it is larger than the sum of its proper divisors (207952805859).

434424100221 is a wasteful number, since it uses less digits than its factorization.

434424100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5693017 (or 5693014 counting only the distinct ones).

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

Adding to 434424100221 its reverse (122001424434), we get a palindrome (556425524655).

The spelling of 434424100221 in words is "four hundred thirty-four billion, four hundred twenty-four million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 61 139 183 417 549 1251 8479 25437 76311 5692811 17078433 51235299 347261471 791300729 1041784413 2373902187 3125353239 7121706561 48269344469 144808033407 434424100221