Search a number
-
+
413244202221 = 33231517615791
BaseRepresentation
bin1100000001101110100…
…01100001110011101101
31110111122200212112221000
412000313101201303231
523232311003432341
6513501453230513
741566401522324
oct6006721416355
91414580775830
10413244202221
1114a28a640574
126810a792439
132cc794a27a6
14160031390bb
15ab394d68b6
hex6037461ced

413244202221 has 64 divisors (see below), whose sum is σ = 644018503680. Its totient is φ = 261383760000.

The previous prime is 413244202183. The next prime is 413244202223. The reversal of 413244202221 is 122202442314.

It is a happy number.

413244202221 is a `hidden beast` number, since 4 + 13 + 2 + 4 + 420 + 2 + 221 = 666.

It is not a de Polignac number, because 413244202221 - 218 = 413243940077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413244202223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71356836 + ... + 71362626.

It is an arithmetic number, because the mean of its divisors is an integer number (10062789120).

Almost surely, 2413244202221 is an apocalyptic number.

It is an amenable number.

413244202221 is a deficient number, since it is larger than the sum of its proper divisors (230774301459).

413244202221 is a wasteful number, since it uses less digits than its factorization.

413244202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6735 (or 6729 counting only the distinct ones).

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

Adding to 413244202221 its reverse (122202442314), we get a palindrome (535446644535).

The spelling of 413244202221 in words is "four hundred thirteen billion, two hundred forty-four million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 23 27 69 151 207 453 621 761 1359 2283 3473 4077 5791 6849 10419 17373 17503 20547 31257 52119 52509 93771 114911 133193 156357 157527 344733 399579 472581 874441 1034199 1198737 2623323 2642953 3102597 3596211 4406951 7869969 7928859 13220853 20112143 23609907 23786577 39662559 60336429 71359731 101359873 118987677 181009287 304079619 543027861 665449601 912238857 1996348803 2736716571 5989046409 15305340823 17967139227 45916022469 137748067407 413244202221