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544325211441 = 321119379776213
BaseRepresentation
bin1111110101111000100…
…11111001010100110001
31221000222221220202102100
413322330103321110301
532404234223231231
61054020510211013
754216612646134
oct7727423712461
91830887822370
10544325211441
1119a935433950
12895b14b3a69
133c43930903b
141c4b9ddc21b
15e25c1ce1e6
hex7ebc4f9531

544325211441 has 48 divisors (see below), whose sum is σ = 903117608640. Its totient is φ = 312444812160.

The previous prime is 544325211407. The next prime is 544325211461. The reversal of 544325211441 is 144112523445.

544325211441 is a `hidden beast` number, since 5 + 4 + 432 + 5 + 211 + 4 + 4 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-544325211441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 544325211396 and 544325211405.

It is not an unprimeable number, because it can be changed into a prime (544325211461) 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, 7104051 + ... + 7180263.

It is an arithmetic number, because the mean of its divisors is an integer number (18814950180).

Almost surely, 2544325211441 is an apocalyptic number.

It is an amenable number.

544325211441 is a deficient number, since it is larger than the sum of its proper divisors (358792397199).

544325211441 is a wasteful number, since it uses less digits than its factorization.

544325211441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80046 (or 80043 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 544325211441 its reverse (144112523445), we get a palindrome (688437734886).

The spelling of 544325211441 in words is "five hundred forty-four billion, three hundred twenty-five million, two hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 3797 11391 34173 41767 72143 76213 125301 216429 228639 375903 649287 685917 793573 838343 1448047 2380719 2515029 4344141 7142157 7545087 13032423 15928517 47785551 143356653 289380761 868142283 2604426849 3183188371 5498234459 9549565113 16494703377 28648695339 49484110131 60480579049 181441737147 544325211441