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352125053440 = 295137548849
BaseRepresentation
bin1010001111111000100…
…10011110101000000000
31020122220012102002122221
411013330102132220000
521232123003202230
6425433005540424
734303662366226
oct5077422365000
91218805362587
10352125053440
1112637645a466
12582b1b74714
1327288c1bab4
1413085ba0b16
15925d8b927a
hex51fc49ea00

352125053440 has 40 divisors (see below), whose sum is σ = 844274841300. Its totient is φ = 140850020352.

The previous prime is 352125053419. The next prime is 352125053443. The reversal of 352125053440 is 44350521253.

It can be written as a sum of positive squares in 2 ways, for example, as 327019284736 + 25105768704 = 571856^2 + 158448^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 352125053396 and 352125053405.

It is not an unprimeable number, because it can be changed into a prime (352125053443) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 68771865 + ... + 68776984.

Almost surely, 2352125053440 is an apocalyptic number.

It is an amenable number.

352125053440 is an abundant number, since it is smaller than the sum of its proper divisors (492149787860).

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

352125053440 is an equidigital number, since it uses as much as digits as its factorization.

352125053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137548872 (or 137548856 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 352125053440 its reverse (44350521253), we get a palindrome (396475574693).

The spelling of 352125053440 in words is "three hundred fifty-two billion, one hundred twenty-five million, fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 137548849 275097698 550195396 687744245 1100390792 1375488490 2200781584 2750976980 4401563168 5501953960 8803126336 11003907920 17606252672 22007815840 35212505344 44015631680 70425010688 88031263360 176062526720 352125053440