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1242324134144 = 2827717519237
BaseRepresentation
bin10010000101000000010…
…010011110100100000000
311101202122201000220011022
4102011000102132210000
5130323234434243034
62350414341405012
7155516643623102
oct22050022364400
94352581026138
101242324134144
1143995964a555
1218092ba09768
13901c6012472
14441b3647572
15224b075eb2e
hex1214049e900

1242324134144 has 36 divisors (see below), whose sum is σ = 2488747911804. Its totient is φ = 618919569408.

The previous prime is 1242324134143. The next prime is 1242324134153. The reversal of 1242324134144 is 4414314232421.

It can be written as a sum of positive squares in 2 ways, for example, as 682461036544 + 559863097600 = 826112^2 + 748240^2 .

It is a super-2 number, since 2×12423241341442 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1242324134141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8688707 + ... + 8830530.

It is an arithmetic number, because the mean of its divisors is an integer number (69131886439).

Almost surely, 21242324134144 is an apocalyptic number.

It is an amenable number.

1242324134144 is an abundant number, since it is smaller than the sum of its proper divisors (1246423777660).

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

1242324134144 is an equidigital number, since it uses as much as digits as its factorization.

1242324134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17519530 (or 17519516 counting only the distinct ones).

The product of its digits is 73728, while the sum is 35.

Adding to 1242324134144 its reverse (4414314232421), we get a palindrome (5656638366565).

The spelling of 1242324134144 in words is "one trillion, two hundred forty-two billion, three hundred twenty-four million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 277 554 1108 2216 4432 8864 17728 35456 70912 17519237 35038474 70076948 140153896 280307792 560615584 1121231168 2242462336 4484924672 4852828649 9705657298 19411314596 38822629192 77645258384 155290516768 310581033536 621162067072 1242324134144