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4404054225321 = 3271463103914327
BaseRepresentation
bin100000000010110011000…
…0101100111000110101001
3120121000122010000001112100
41000011212011213012221
51034124000340202241
613211110010204013
7633116366154042
oct100054605470651
916530563001470
104404054225321
111448826884503
125b1650a23609
1325c3ba362b6a
1411322bb2d8c9
157985d78a9b6
hex401661671a9

4404054225321 has 48 divisors (see below), whose sum is σ = 6471616020480. Its totient is φ = 2885450087520.

The previous prime is 4404054225299. The next prime is 4404054225383. The reversal of 4404054225321 is 1235224504044.

4404054225321 is a `hidden beast` number, since 4 + 4 + 0 + 40 + 542 + 2 + 53 + 21 = 666.

It is not a de Polignac number, because 4404054225321 - 26 = 4404054225257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4404054225121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307388260 + ... + 307402586.

It is an arithmetic number, because the mean of its divisors is an integer number (134825333760).

Almost surely, 24404054225321 is an apocalyptic number.

It is an amenable number.

4404054225321 is a deficient number, since it is larger than the sum of its proper divisors (2067561795159).

4404054225321 is a wasteful number, since it uses less digits than its factorization.

4404054225321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15906 (or 15903 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 4404054225321 its reverse (1235224504044), we get a palindrome (5639278729365).

The spelling of 4404054225321 in words is "four trillion, four hundred four billion, fifty-four million, two hundred twenty-five thousand, three hundred twenty-one".

Divisors: 1 3 9 71 213 463 639 1039 1389 3117 4167 9351 14327 32873 42981 73769 98619 128943 221307 295857 481057 663921 1017217 1443171 3051651 4329513 6633401 9154953 14885753 19900203 34155047 44657259 59700609 102465141 133971777 307395423 470971471 1056888463 1412914413 3170665389 4238743239 6892103639 9511996167 20676310917 62028932751 489339358369 1468018075107 4404054225321