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114340442340 = 22352390079199
BaseRepresentation
bin110101001111100111…
…0001011000011100100
3101221010120201021220210
41222133032023003210
53333132123123330
6124305520255420
711155314503205
oct1523716130344
9357116637823
10114340442340
1144545220743
121a1b0471570
13aa22809397
1457698375ac
152e931b98b0
hex1a9f38b0e4

114340442340 has 96 divisors (see below), whose sum is σ = 334146355200. Its totient is φ = 29158690176.

The previous prime is 114340442299. The next prime is 114340442347. The reversal of 114340442340 is 43244043411.

114340442340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114340442298 and 114340442307.

It is not an unprimeable number, because it can be changed into a prime (114340442347) 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 31 ways as a sum of consecutive naturals, for example, 12425061 + ... + 12434259.

It is an arithmetic number, because the mean of its divisors is an integer number (3480691200).

Almost surely, 2114340442340 is an apocalyptic number.

114340442340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114340442340 is an abundant number, since it is smaller than the sum of its proper divisors (219805912860).

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

114340442340 is a wasteful number, since it uses less digits than its factorization.

114340442340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18241 (or 18239 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 114340442340 its reverse (43244043411), we get a palindrome (157584485751).

The spelling of 114340442340 in words is "one hundred fourteen billion, three hundred forty million, four hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 9007 9199 18014 18398 27021 27597 36028 36796 45035 45995 54042 55194 90070 91990 108084 110388 135105 137985 180140 183980 207161 211577 270210 275970 414322 423154 540420 551940 621483 634731 828644 846308 1035805 1057885 1242966 1269462 2071610 2115770 2485932 2538924 3107415 3173655 4143220 4231540 6214830 6347310 12429660 12694620 82855393 165710786 248566179 331421572 414276965 497132358 828553930 994264716 1242830895 1657107860 1905674039 2485661790 3811348078 4971323580 5717022117 7622696156 9528370195 11434044234 19056740390 22868088468 28585110585 38113480780 57170221170 114340442340