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12421434340 = 2257212674933
BaseRepresentation
bin10111001000110000…
…00000101111100100
31012001200010020120201
423210120000233210
5200414341344330
65412322240244
7616546310200
oct134430005744
935050106521
1012421434340
1152a4637517
1224a7ab6084
13122c56c363
1485b9a1b00
154ca769eca
hex2e4600be4

12421434340 has 36 divisors (see below), whose sum is σ = 30343791996. Its totient is φ = 4258777152.

The previous prime is 12421434241. The next prime is 12421434379. The reversal of 12421434340 is 4343412421.

It can be written as a sum of positive squares in 2 ways, for example, as 4061257984 + 8360176356 = 63728^2 + 91434^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12421434299 and 12421434308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6336487 + ... + 6338446.

It is an arithmetic number, because the mean of its divisors is an integer number (842883111).

Almost surely, 212421434340 is an apocalyptic number.

12421434340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12421434340 is an abundant number, since it is smaller than the sum of its proper divisors (17922357656).

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

12421434340 is a wasteful number, since it uses less digits than its factorization.

12421434340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12674956 (or 12674947 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 12421434340 its reverse (4343412421), we get a palindrome (16764846761).

The spelling of 12421434340 in words is "twelve billion, four hundred twenty-one million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 12674933 25349866 50699732 63374665 88724531 126749330 177449062 253498660 354898124 443622655 621071717 887245310 1242143434 1774490620 2484286868 3105358585 6210717170 12421434340