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114315199236 = 22347107471061
BaseRepresentation
bin110101001110110110…
…1111000001100000100
3101221001211012210220000
41222131231320030010
53333104142333421
6124303215241300
711154560106150
oct1523555701404
9357054183800
10114315199236
1144531a4a177
121a1a3b19230
13aa1a50b634
145766346060
152e90d80226
hex1a9db78304

114315199236 has 120 divisors (see below), whose sum is σ = 344726940096. Its totient is φ = 32356169280.

The previous prime is 114315199183. The next prime is 114315199237. The reversal of 114315199236 is 632991513411.

114315199236 is a `hidden beast` number, since 1 + 1 + 43 + 1 + 519 + 92 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 114315199191 and 114315199200.

It is not an unprimeable number, because it can be changed into a prime (114315199237) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7146 + ... + 478206.

Almost surely, 2114315199236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114315199236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172363470048).

114315199236 is an abundant number, since it is smaller than the sum of its proper divisors (230411740860).

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

114315199236 is a wasteful number, since it uses less digits than its factorization.

114315199236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471191 (or 471180 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The spelling of 114315199236 in words is "one hundred fourteen billion, three hundred fifteen million, one hundred ninety-nine thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 107 108 126 162 189 214 252 321 324 378 428 567 642 749 756 963 1134 1284 1498 1926 2247 2268 2889 2996 3852 4494 5778 6741 8667 8988 11556 13482 17334 20223 26964 34668 40446 60669 80892 121338 242676 471061 942122 1413183 1884244 2826366 3297427 4239549 5652732 6594854 8479098 9892281 12718647 13189708 16958196 19784562 25437294 29676843 38155941 39569124 50403527 50874588 59353686 76311882 89030529 100807054 118707372 151210581 152623764 178061058 201614108 267091587 302421162 352824689 356122116 453631743 534183174 604842324 705649378 907263486 1058474067 1068366348 1360895229 1411298756 1814526972 2116948134 2721790458 3175422201 4082685687 4233896268 5443580916 6350844402 8165371374 9526266603 12701688804 16330742748 19052533206 28578799809 38105066412 57157599618 114315199236