Search a number
-
+
441717456020 = 225714094911549
BaseRepresentation
bin1100110110110000110…
…10010111110010010100
31120020011001022201020112
412123120122113302110
524214114132043040
6534531110022152
743625112266141
oct6333032276224
91506131281215
10441717456020
11160370a96585
1271736347958
133286646c669
14175448bb3c8
15b754081365
hex66d8697c94

441717456020 has 96 divisors (see below), whose sum is σ = 945501984000. Its totient is φ = 173306649600.

The previous prime is 441717456013. The next prime is 441717456029. The reversal of 441717456020 is 20654717144.

It is a super-2 number, since 2×4417174560202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441717456029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285162206 + ... + 285163754.

It is an arithmetic number, because the mean of its divisors is an integer number (9848979000).

Almost surely, 2441717456020 is an apocalyptic number.

It is an amenable number.

441717456020 is an abundant number, since it is smaller than the sum of its proper divisors (503784527980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

441717456020 is a wasteful number, since it uses less digits than its factorization.

441717456020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The spelling of 441717456020 in words is "four hundred forty-one billion, seven hundred seventeen million, four hundred fifty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 71 142 284 355 409 491 710 818 982 1420 1549 1636 1964 2045 2455 3098 4090 4910 6196 7745 8180 9820 15490 29039 30980 34861 58078 69722 109979 116156 139444 145195 174305 200819 219958 290390 348610 401638 439916 549895 580780 633541 697220 760559 803276 1004095 1099790 1267082 1521118 2008190 2199580 2534164 3042236 3167705 3802795 4016380 6335410 7605590 12670820 14258149 15211180 28516298 44981411 53999689 57032596 71290745 89962822 107999378 142581490 179925644 215998756 224907055 269998445 285162980 311068631 449814110 539996890 622137262 899628220 1079993780 1244274524 1555343155 3110686310 6221372620 22085872801 44171745602 88343491204 110429364005 220858728010 441717456020