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136232209344 = 2637119214841
BaseRepresentation
bin111111011100000010…
…0101000101111000000
3111000122020221021122010
41332320010220233000
54213000421144334
6142330105012520
712561650446620
oct1767004505700
9430566837563
10136232209344
1152859592270
122249ba84140
13cb010c437a
146845082880
1538250690e9
hex1fb8128bc0

136232209344 has 112 divisors (see below), whose sum is σ = 449389414656. Its totient is φ = 35384985600.

The previous prime is 136232209297. The next prime is 136232209361. The reversal of 136232209344 is 443902232631.

136232209344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×1362322093443 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4592637 + ... + 4622204.

It is an arithmetic number, because the mean of its divisors is an integer number (4012405488).

Almost surely, 2136232209344 is an apocalyptic number.

136232209344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

136232209344 is an abundant number, since it is smaller than the sum of its proper divisors (313157205312).

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

136232209344 is a wasteful number, since it uses less digits than its factorization.

136232209344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9214874 (or 9214864 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 136232209344 in words is "one hundred thirty-six billion, two hundred thirty-two million, two hundred nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 14784 9214841 18429682 27644523 36859364 55289046 64503887 73718728 101363251 110578092 129007774 147437456 193511661 202726502 221156184 258015548 294874912 304089753 387023322 405453004 442312368 516031096 589749824 608179506 709542757 774046644 810906008 884624736 1032062192 1216359012 1419085514 1548093288 1621812016 1769249472 2064124384 2128628271 2432718024 2838171028 3096186576 3243624032 4128248768 4257256542 4865436048 5676342056 6192373152 6487248064 8514513084 9730872096 11352684112 12384746304 17029026168 19461744192 22705368224 34058052336 45410736448 68116104672 136232209344