Search a number
-
+
114201332510736 = 243171111712589063
BaseRepresentation
bin11001111101110110010001…
…110110110111000000010000
3112222100112121012212201122010
4121331312101312313000100
5104432033312110320421
61042515211244142520
733024526323603642
oct3175662166670020
9488315535781563
10114201332510736
113342a570a85aa9
1210984b97237a40
134b951a7497a43
14202b534306892
15d3098ab05076
hex67dd91db7010

114201332510736 has 80 divisors (see below), whose sum is σ = 312402356648064. Its totient is φ = 35824643377152.

The previous prime is 114201332510731. The next prime is 114201332510777. The reversal of 114201332510736 is 637015233102411.

It is a junction number, because it is equal to n+sod(n) for n = 114201332510694 and 114201332510703.

It is not an unprimeable number, because it can be changed into a prime (114201332510731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2776941 + ... + 15366003.

Almost surely, 2114201332510736 is an apocalyptic number.

114201332510736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114201332510736 is an abundant number, since it is smaller than the sum of its proper divisors (198201024137328).

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

114201332510736 is a wasteful number, since it uses less digits than its factorization.

114201332510736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12600208 (or 12600202 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 114201332510736 in words is "one hundred fourteen trillion, two hundred one billion, three hundred thirty-two million, five hundred ten thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 11117 22234 33351 44468 66702 88936 133404 177872 188989 266808 377978 533616 566967 755956 1133934 1511912 2267868 3023824 4535736 9071472 12589063 25178126 37767189 50356252 75534378 100712504 151068756 201425008 214014071 302137512 428028142 604275024 642042213 856056284 1284084426 1712112568 2568168852 3424225136 5136337704 10272675408 139952613371 279905226742 419857840113 559810453484 839715680226 1119620906968 1679431360452 2239241813936 2379194427307 3358862720904 4758388854614 6717725441808 7137583281921 9516777709228 14275166563842 19033555418456 28550333127684 38067110836912 57100666255368 114201332510736