Search a number
-
+
205541514342 = 232612295411511
BaseRepresentation
bin1011111101101100111…
…0101001110001100110
3201122112112121210002100
42333123032221301212
511331422111424332
6234231403552530
720564340021333
oct2773316516146
9648475553070
10205541514342
117a19590aa1a
1233a0352b746
13164c8409a48
149d3c06398a
15552ebe467c
hex2fdb3a9c66

205541514342 has 96 divisors (see below), whose sum is σ = 455758954560. Its totient is φ = 66928032000.

The previous prime is 205541514259. The next prime is 205541514371. The reversal of 205541514342 is 243415145502.

205541514342 is a `hidden beast` number, since 20 + 5 + 54 + 151 + 434 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 205541514297 and 205541514306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136029367 + ... + 136030877.

It is an arithmetic number, because the mean of its divisors is an integer number (4747489110).

Almost surely, 2205541514342 is an apocalyptic number.

205541514342 is an abundant number, since it is smaller than the sum of its proper divisors (250217440218).

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

205541514342 is a wasteful number, since it uses less digits than its factorization.

205541514342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 205541514342 its reverse (243415145502), we get a palindrome (448956659844).

The spelling of 205541514342 in words is "two hundred five billion, five hundred forty-one million, five hundred fourteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 61 122 183 229 366 458 541 549 687 1082 1098 1374 1511 1623 2061 3022 3246 4122 4533 4869 9066 9738 13599 13969 27198 27938 33001 41907 66002 83814 92171 99003 123889 125721 184342 198006 247778 251442 276513 297009 346019 371667 553026 594018 692038 743334 817451 829539 1038057 1115001 1634902 1659078 2076114 2230002 2452353 3114171 4904706 6228342 7357059 7557229 14714118 15114458 21107159 22671687 42214318 45343374 49864511 63321477 68015061 99729022 126642954 136030122 149593533 187196279 189964431 299187066 374392558 379928862 448780599 561588837 897561198 1123177674 1684766511 3369533022 11418973019 22837946038 34256919057 68513838114 102770757171 205541514342