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131323040442040 = 23573127354123181
BaseRepresentation
bin11101110111000000000111…
…001011010010011010111000
3122012222100201111000110122011
4131313000013023102122320
5114203044041323121130
61143144545534135304
736442530236001436
oct3567000713223270
9565870644013564
10131323040442040
1138930874821557
121288b350651534
13583792bc2b585
1424600d7761d56
15102b03111b52a
hex7770072d26b8

131323040442040 has 64 divisors (see below), whose sum is σ = 301882930191360. Its totient is φ = 51401687823360.

The previous prime is 131323040441981. The next prime is 131323040442053. The reversal of 131323040442040 is 40244040323131.

It is a junction number, because it is equal to n+sod(n) for n = 131323040441993 and 131323040442011.

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 15 ways as a sum of consecutive naturals, for example, 176690751 + ... + 177432430.

It is an arithmetic number, because the mean of its divisors is an integer number (4716920784240).

Almost surely, 2131323040442040 is an apocalyptic number.

131323040442040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131323040442040 is an abundant number, since it is smaller than the sum of its proper divisors (170559889749320).

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

131323040442040 is a wasteful number, since it uses less digits than its factorization.

131323040442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354123392 (or 354123388 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 131323040442040 its reverse (40244040323131), we get a palindrome (171567080765171).

The spelling of 131323040442040 in words is "one hundred thirty-one trillion, three hundred twenty-three billion, forty million, four hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 127 146 254 292 365 508 584 635 730 1016 1270 1460 2540 2920 5080 9271 18542 37084 46355 74168 92710 185420 370840 354123181 708246362 1416492724 1770615905 2832985448 3541231810 7082463620 14164927240 25850992213 44973643987 51701984426 89947287974 103403968852 129254961065 179894575948 206807937704 224868219935 258509922130 359789151896 449736439870 517019844260 899472879740 1034039688520 1798945759480 3283076011051 6566152022102 13132304044204 16415380055255 26264608088408 32830760110510 65661520221020 131323040442040