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32135324040 = 2332589264789
BaseRepresentation
bin11101111011011010…
…100010000110001000
310001221120021121021200
4131323122202012020
51011303120332130
622432431304200
72215225514241
oct357332420610
9101846247250
1032135324040
11126a0609646
12628a07b060
1330518a0351
1417abc8bcc8
15c8131c760
hex77b6a2188

32135324040 has 48 divisors (see below), whose sum is σ = 104439804300. Its totient is φ = 8569419648.

The previous prime is 32135324003. The next prime is 32135324059. The reversal of 32135324040 is 4042353123.

32135324040 is a `hidden beast` number, since 32 + 1 + 353 + 240 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30011404644 + 2123919396 = 173238^2 + 46086^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32135323995 and 32135324013.

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 11 ways as a sum of consecutive naturals, for example, 44632035 + ... + 44632754.

Almost surely, 232135324040 is an apocalyptic number.

32135324040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32135324040 is an abundant number, since it is smaller than the sum of its proper divisors (72304480260).

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

32135324040 is a wasteful number, since it uses less digits than its factorization.

32135324040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89264806 (or 89264799 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 32135324040 its reverse (4042353123), we get a palindrome (36177677163).

The spelling of 32135324040 in words is "thirty-two billion, one hundred thirty-five million, three hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 89264789 178529578 267794367 357059156 446323945 535588734 714118312 803383101 892647890 1071177468 1338971835 1606766202 1785295780 2142354936 2677943670 3213532404 3570591560 4016915505 5355887340 6427064808 8033831010 10711774680 16067662020 32135324040