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13209280140 = 2235731450667
BaseRepresentation
bin11000100110101010…
…11001111010001100
31021002120120221211210
430103111121322030
5204023033431030
610022424414420
7645224012550
oct142325317214
937076527753
1013209280140
115669326751
122687917410
131326857cc4
148d4485860
155249e0bb0
hex313559e8c

13209280140 has 48 divisors (see below), whose sum is σ = 42269697792. Its totient is φ = 3019263936.

The previous prime is 13209280087. The next prime is 13209280157. The reversal of 13209280140 is 4108290231.

13209280140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13209280098 and 13209280107.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15724914 + ... + 15725753.

It is an arithmetic number, because the mean of its divisors is an integer number (880618704).

Almost surely, 213209280140 is an apocalyptic number.

13209280140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13209280140 is an abundant number, since it is smaller than the sum of its proper divisors (29060417652).

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

13209280140 is a wasteful number, since it uses less digits than its factorization.

13209280140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31450686 (or 31450684 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 13209280140 in words is "thirteen billion, two hundred nine million, two hundred eighty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 31450667 62901334 94352001 125802668 157253335 188704002 220154669 314506670 377408004 440309338 471760005 629013340 660464007 880618676 943520010 1100773345 1320928014 1887040020 2201546690 2641856028 3302320035 4403093380 6604640070 13209280140