Search a number
-
+
413241422611320 = 233257116167504797
BaseRepresentation
bin101110111110101110100010…
…0001100111000001101111000
32000012011111100021000000021100
41131331131010030320031320
5413131021413142030240
64022520253324011400
7153020464454020512
oct13575350414701570
92005144307000240
10413241422611320
1110a742780978566
123a420b58390b60
1314977664242224
147408dc4c38bb2
1532b9557580e30
hex177d744338378

413241422611320 has 96 divisors (see below), whose sum is σ = 1361950604183520. Its totient is φ = 108645632229120.

The previous prime is 413241422611313. The next prime is 413241422611337. The reversal of 413241422611320 is 23116224142314.

413241422611320 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 4 + 1 + 4 + 2 + 2 + 611 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8083726839 + ... + 8083777958.

It is an arithmetic number, because the mean of its divisors is an integer number (14186985460245).

Almost surely, 2413241422611320 is an apocalyptic number.

413241422611320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413241422611320 is an abundant number, since it is smaller than the sum of its proper divisors (948709181572200).

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

413241422611320 is a wasteful number, since it uses less digits than its factorization.

413241422611320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16167504885 (or 16167504878 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 413241422611320 its reverse (23116224142314), we get a palindrome (436357646753634).

The spelling of 413241422611320 in words is "four hundred thirteen trillion, two hundred forty-one billion, four hundred twenty-two million, six hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1278 1420 1704 2130 2556 2840 3195 4260 5112 6390 8520 12780 25560 16167504797 32335009594 48502514391 64670019188 80837523985 97005028782 129340038376 145507543173 161675047970 194010057564 242512571955 291015086346 323350095940 388020115128 485025143910 582030172692 646700191880 727537715865 970050287820 1147892840587 1164060345384 1455075431730 1940100575640 2295785681174 2910150863460 3443678521761 4591571362348 5739464202935 5820301726920 6887357043522 9183142724696 10331035565283 11478928405870 13774714087044 17218392608805 20662071130566 22957856811740 27549428174088 34436785217610 41324142261132 45915713623480 51655177826415 68873570435220 82648284522264 103310355652830 137747140870440 206620711305660 413241422611320