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10140104004224 = 27611298681353
BaseRepresentation
bin1001001110001110110101…
…0011000001001010000000
31022220101101021122002112212
42103203231103001022000
52312113413111113344
633322144404041252
72064412141624025
oct223435523011200
938811337562485
1010140104004224
11325a4373a4067
121179278393228
1358729143377c
14270ad84b154c
15128b79d5a79e
hex938ed4c1280

10140104004224 has 32 divisors (see below), whose sum is σ = 20532152206740. Its totient is φ = 4986936391680.

The previous prime is 10140104004209. The next prime is 10140104004253. The reversal of 10140104004224 is 42240040104101.

It can be written as a sum of positive squares in 2 ways, for example, as 9124507662400 + 1015596341824 = 3020680^2 + 1007768^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10140104004224.

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 3 ways as a sum of consecutive naturals, for example, 649332869 + ... + 649348484.

Almost surely, 210140104004224 is an apocalyptic number.

It is an amenable number.

10140104004224 is an abundant number, since it is smaller than the sum of its proper divisors (10392048202516).

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

10140104004224 is an equidigital number, since it uses as much as digits as its factorization.

10140104004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298681428 (or 1298681416 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 10140104004224 its reverse (42240040104101), we get a palindrome (52380144108325).

The spelling of 10140104004224 in words is "ten trillion, one hundred forty billion, one hundred four million, four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 7808 1298681353 2597362706 5194725412 10389450824 20778901648 41557803296 79219562533 83115606592 158439125066 166231213184 316878250132 633756500264 1267513000528 2535026001056 5070052002112 10140104004224