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136205644344 = 23371173704353
BaseRepresentation
bin111111011011001111…
…1010011001000111000
3111000120101221122022020
41332312133103020320
54212422121104334
6142323315354440
712561205605630
oct1766637231070
9430511848266
10136205644344
1152845598620
1222492bb2a20
13cac8752a33
1468417296c0
153822a6ce49
hex1fb67d3238

136205644344 has 64 divisors (see below), whose sum is σ = 424537079040. Its totient is φ = 35378088960.

The previous prime is 136205644343. The next prime is 136205644381. The reversal of 136205644344 is 443446502631.

136205644344 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 136205644296 and 136205644305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136205644343) 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, 36850329 + ... + 36854024.

It is an arithmetic number, because the mean of its divisors is an integer number (6633391860).

Almost surely, 2136205644344 is an apocalyptic number.

136205644344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

136205644344 is an abundant number, since it is smaller than the sum of its proper divisors (288331434696).

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

136205644344 is a wasteful number, since it uses less digits than its factorization.

136205644344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73704380 (or 73704376 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 136205644344 in words is "one hundred thirty-six billion, two hundred five million, six hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 73704353 147408706 221113059 294817412 442226118 515930471 589634824 810747883 884452236 1031860942 1547791413 1621495766 1768904472 2063721884 2432243649 3095582826 3242991532 4127443768 4864487298 5675235181 6191165652 6485983064 9728974596 11350470362 12382331304 17025705543 19457949192 22700940724 34051411086 45401881448 68102822172 136205644344