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441145341 = 327135310163
BaseRepresentation
bin11010010010110…
…101011111111101
31010202002111122100
4122102311133331
51400413122331
6111435135313
713634450010
oct3222653775
91122074570
10441145341
1120701902a
121038a4539
1370519560
1442835377
1528adeae6
hex1a4b57fd

441145341 has 48 divisors (see below), whose sum is σ = 799134336. Its totient is φ = 228279168.

The previous prime is 441145307. The next prime is 441145349. The reversal of 441145341 is 143541144.

It is not a de Polignac number, because 441145341 - 26 = 441145277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441145349) 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 47 ways as a sum of consecutive naturals, for example, 38326 + ... + 48488.

It is an arithmetic number, because the mean of its divisors is an integer number (16648632).

Almost surely, 2441145341 is an apocalyptic number.

It is an amenable number.

441145341 is a deficient number, since it is larger than the sum of its proper divisors (357988995).

441145341 is a wasteful number, since it uses less digits than its factorization.

441145341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10242 (or 10239 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 441145341 is about 21003.4602149265. The cubic root of 441145341 is about 761.2498714682.

Adding to 441145341 its reverse (143541144), we get a palindrome (584686485).

It can be divided in two parts, 44114 and 5341, that added together give a triangular number (49455 = T314).

The spelling of 441145341 in words is "four hundred forty-one million, one hundred forty-five thousand, three hundred forty-one".

Divisors: 1 3 7 9 13 21 39 53 63 91 117 159 273 371 477 689 819 1113 2067 3339 4823 6201 10163 14469 30489 43407 71141 91467 132119 213423 396357 538639 640269 924833 1189071 1615917 2774499 3770473 4847751 7002307 8323497 11311419 21006921 33934257 49016149 63020763 147048447 441145341