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1280242421712 = 243219745129809
BaseRepresentation
bin10010101000010100011…
…001010000111111010000
311112101112021222111001100
4102220110121100333100
5131433414024443322
62420045114104400
7161331413014332
oct22502431207720
94471467874040
101280242421712
11453a475201a1
1218815271b100
1393959a0aa07
1445d6d569452
152347e5e2dac
hex12a14650fd0

1280242421712 has 60 divisors (see below), whose sum is σ = 3601088059140. Its totient is φ = 424581233664.

The previous prime is 1280242421677. The next prime is 1280242421737. The reversal of 1280242421712 is 2171242420821.

1280242421712 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 2 + 424 + 217 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1148403716496 + 131838705216 = 1071636^2 + 363096^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 22536537 + ... + 22593272.

It is an arithmetic number, because the mean of its divisors is an integer number (60018134319).

Almost surely, 21280242421712 is an apocalyptic number.

1280242421712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1280242421712 is an abundant number, since it is smaller than the sum of its proper divisors (2320845637428).

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

1280242421712 is a wasteful number, since it uses less digits than its factorization.

1280242421712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45130020 (or 45130011 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 1280242421712 in words is "one trillion, two hundred eighty billion, two hundred forty-two million, four hundred twenty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 197 394 591 788 1182 1576 1773 2364 3152 3546 4728 7092 9456 14184 28368 45129809 90259618 135389427 180519236 270778854 361038472 406168281 541557708 722076944 812336562 1083115416 1624673124 2166230832 3249346248 6498692496 8890572373 17781144746 26671717119 35562289492 53343434238 71124578984 80015151357 106686868476 142249157968 160030302714 213373736952 320060605428 426747473904 640121210856 1280242421712