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13200420422440 = 235411178026133
BaseRepresentation
bin1100000000010111011001…
…0111101100001100101000
31201201221120222212212221101
43000011312113230030220
53212233430112004230
644024104525451144
72531461503155656
oct300056627541450
951657528785841
1013200420422440
11422a2a3215559
1215923b6110ab4
13749a43119664
14338c91ca5dd6
1517d58e9a5aca
hexc01765ec328

13200420422440 has 32 divisors (see below), whose sum is σ = 29701672003080. Its totient is φ = 5280039092992.

The previous prime is 13200420422429. The next prime is 13200420422477. The reversal of 13200420422440 is 4422402400231.

It can be written as a sum of positive squares in 4 ways, for example, as 11676148693444 + 1524271728996 = 3417038^2 + 1234614^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13200420422399 and 13200420422408.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2368387 + ... + 5657746.

Almost surely, 213200420422440 is an apocalyptic number.

13200420422440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200420422440 is an abundant number, since it is smaller than the sum of its proper divisors (16501251580640).

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

13200420422440 is a wasteful number, since it uses less digits than its factorization.

13200420422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8067261 (or 8067257 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 13200420422440 its reverse (4422402400231), we get a palindrome (17622822822671).

The spelling of 13200420422440 in words is "thirteen trillion, two hundred billion, four hundred twenty million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41117 82234 164468 205585 328936 411170 822340 1644680 8026133 16052266 32104532 40130665 64209064 80261330 160522660 321045320 330010510561 660021021122 1320042042244 1650052552805 2640084084488 3300105105610 6600210211220 13200420422440