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13903205440 = 26543447517
BaseRepresentation
bin11001111001011001…
…00001010001000000
31022212221100000101211
430330230201101000
5211433210033230
610215333535504
71001351203435
oct147454412100
938787300354
1013903205440
115994aa7033
1228401a4594
13140754b3a7
1495c6bbb8c
155658b342a
hex33cb21440

13903205440 has 28 divisors (see below), whose sum is σ = 33107008716. Its totient is φ = 5561282048.

The previous prime is 13903205401. The next prime is 13903205441. The reversal of 13903205440 is 4450230931.

It can be written as a sum of positive squares in 2 ways, for example, as 7092334656 + 6810870784 = 84216^2 + 82528^2 .

It is not an unprimeable number, because it can be changed into a prime (13903205441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21723439 + ... + 21724078.

Almost surely, 213903205440 is an apocalyptic number.

13903205440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13903205440 is an abundant number, since it is smaller than the sum of its proper divisors (19203803276).

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

13903205440 is an equidigital number, since it uses as much as digits as its factorization.

13903205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43447534 (or 43447524 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 13903205440 in words is "thirteen billion, nine hundred three million, two hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 43447517 86895034 173790068 217237585 347580136 434475170 695160272 868950340 1390320544 1737900680 2780641088 3475801360 6951602720 13903205440