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131115343243140 = 22335263923217457
BaseRepresentation
bin11101110011111110101011…
…011101010110011110000100
3122012020111121201002120021000
4131303332223131112132010
5114141143210332240030
61142505320202253300
736421525301641344
oct3563765335263604
9565214551076230
10131115343243140
11388607830aa953
12128570471b7230
13582117c038049
1424540332b8d24
151025927060860
hex773fab756784

131115343243140 has 96 divisors (see below), whose sum is σ = 409465406972160. Its totient is φ = 34831148179968.

The previous prime is 131115343243111. The next prime is 131115343243163. The reversal of 131115343243140 is 41342343511131.

131115343243140 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 15 + 3 + 4 + 324 + 314 + 0 = 666.

It is a super-3 number, since 3×1311153432431403 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131115343243095 and 131115343243104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461466709 + ... + 461750748.

It is an arithmetic number, because the mean of its divisors is an integer number (4265264655960).

Almost surely, 2131115343243140 is an apocalyptic number.

131115343243140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131115343243140 is an abundant number, since it is smaller than the sum of its proper divisors (278350063729020).

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

131115343243140 is a wasteful number, since it uses less digits than its factorization.

131115343243140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923217738 (or 923217730 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 131115343243140 its reverse (41342343511131), we get a palindrome (172457686754271).

The spelling of 131115343243140 in words is "one hundred thirty-one trillion, one hundred fifteen billion, three hundred forty-three million, two hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 263 270 526 540 789 1052 1315 1578 2367 2630 3156 3945 4734 5260 7101 7890 9468 11835 14202 15780 23670 28404 35505 47340 71010 142020 923217457 1846434914 2769652371 3692869828 4616087285 5539304742 8308957113 9232174570 11078609484 13848261855 16617914226 18464349140 24926871339 27696523710 33235828452 41544785565 49853742678 55393047420 83089571130 99707485356 124634356695 166179142260 242806191191 249268713390 485612382382 498537426780 728418573573 971224764764 1214030955955 1456837147146 2185255720719 2428061911910 2913674294292 3642092867865 4370511441438 4856123823820 6555767162157 7284185735730 8741022882876 10926278603595 13111534324314 14568371471460 21852557207190 26223068648628 32778835810785 43705114414380 65557671621570 131115343243140