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20352124310440 = 2351353738466049
BaseRepresentation
bin1001010000010100110010…
…01000111101001110101000
32200001122101112110212010011
410220022121020331032220
510131422122310413230
6111141345320101304
74200251420205016
oct450123110751650
980048345425104
1020352124310440
11653731865a24a
122348465304834
13b48274002590
14505095ca78b6
15254613654e2a
hex12829923d3a8

20352124310440 has 64 divisors (see below), whose sum is σ = 50245230042000. Its totient is φ = 7372845023232.

The previous prime is 20352124310423. The next prime is 20352124310443. The reversal of 20352124310440 is 4401342125302.

It can be written as a sum of positive squares in 8 ways, for example, as 7982399198596 + 12369725111844 = 2825314^2 + 3517062^2 .

It is not an unprimeable number, because it can be changed into a prime (20352124310443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369205465 + ... + 369260584.

Almost surely, 220352124310440 is an apocalyptic number.

20352124310440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20352124310440 is an abundant number, since it is smaller than the sum of its proper divisors (29893105731560).

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

20352124310440 is a wasteful number, since it uses less digits than its factorization.

20352124310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738466126 (or 738466122 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 20352124310440 its reverse (4401342125302), we get a palindrome (24753466435742).

The spelling of 20352124310440 in words is "twenty trillion, three hundred fifty-two billion, one hundred twenty-four million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 212 260 265 424 520 530 689 1060 1378 2120 2756 3445 5512 6890 13780 27560 738466049 1476932098 2953864196 3692330245 5907728392 7384660490 9600058637 14769320980 19200117274 29538641960 38400234548 39138700597 48000293185 76800469096 78277401194 96000586370 156554802388 192001172740 195693502985 313109604776 384002345480 391387005970 508803107761 782774011940 1017606215522 1565548023880 2035212431044 2544015538805 4070424862088 5088031077610 10176062155220 20352124310440