Search a number
-
+
4421334331197 = 327971307553561
BaseRepresentation
bin100000001010110110000…
…0011111110111100111101
3120122200020101120101110200
41000111230003332330331
51034414343042044242
613223044414554113
7634300533506340
oct100255403767475
916580211511420
104421334331197
111455093a69843
125b4a73b08939
13260c123a9b94
14113dcaac4457
157a02084204c
hex4056c0fef3d

4421334331197 has 48 divisors (see below), whose sum is σ = 7379610306432. Its totient is φ = 2498512988160.

The previous prime is 4421334331147. The next prime is 4421334331213. The reversal of 4421334331197 is 7911334331244.

4421334331197 is a `hidden beast` number, since 4 + 4 + 21 + 3 + 3 + 433 + 1 + 197 = 666.

It is not a de Polignac number, because 4421334331197 - 215 = 4421334298429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4421334331147) 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 47 ways as a sum of consecutive naturals, for example, 7710297 + ... + 8263857.

It is an arithmetic number, because the mean of its divisors is an integer number (153741881384).

Almost surely, 24421334331197 is an apocalyptic number.

It is an amenable number.

4421334331197 is a deficient number, since it is larger than the sum of its proper divisors (2958275975235).

4421334331197 is a wasteful number, since it uses less digits than its factorization.

4421334331197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554978 (or 554975 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The spelling of 4421334331197 in words is "four trillion, four hundred twenty-one billion, three hundred thirty-four million, three hundred thirty-one thousand, one hundred ninety-seven".

Divisors: 1 3 7 9 21 63 97 291 679 873 1307 2037 3921 6111 9149 11763 27447 82341 126779 380337 553561 887453 1141011 1660683 2662359 3874927 4982049 7987077 11624781 34874343 53695417 161086251 375867919 483258753 723504227 1127603757 2170512681 3382811271 5064529589 6511538043 15193588767 45580766301 70179910019 210539730057 491259370133 631619190171 1473778110399 4421334331197