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42333130122440 = 2354125812884221
BaseRepresentation
bin10011010000000011100110…
…01011101110010011001000
312112220000012121212111011112
421220001303023232103020
521022041222302404230
6230011323235545452
711626316266626413
oct1150016313562310
9175800177774145
1042333130122440
111254141a371533
1248b853b75b288
131a80cc6666481
14a64d12110b7a
154d62adbcad95
hex2680732ee4c8

42333130122440 has 32 divisors (see below), whose sum is σ = 97572702359160. Its totient is φ = 16520245900800.

The previous prime is 42333130122389. The next prime is 42333130122443. The reversal of 42333130122440 is 4422103133324.

It can be written as a sum of positive squares in 4 ways, for example, as 29982699117316 + 12350431005124 = 5475646^2 + 3514318^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42333130122397 and 42333130122406.

It is not an unprimeable number, because it can be changed into a prime (42333130122443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12906440471 + ... + 12906443750.

Almost surely, 242333130122440 is an apocalyptic number.

42333130122440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42333130122440 is an abundant number, since it is smaller than the sum of its proper divisors (55239572236720).

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

42333130122440 is a wasteful number, since it uses less digits than its factorization.

42333130122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25812884273 (or 25812884269 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 42333130122440 its reverse (4422103133324), we get a palindrome (46755233255764).

The spelling of 42333130122440 in words is "forty-two trillion, three hundred thirty-three billion, one hundred thirty million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 25812884221 51625768442 103251536884 129064421105 206503073768 258128842210 516257684420 1032515368840 1058328253061 2116656506122 4233313012244 5291641265305 8466626024488 10583282530610 21166565061220 42333130122440