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10440034442201 = 71333791791161
BaseRepresentation
bin1001011111101100001010…
…0010110101101111011001
31100222001112221200000010202
42113323002202311233121
52332022142304122301
634112030254151545
72125160533365560
oct227730242655731
940861487600122
1010440034442201
1133656592a9391
1212074224b25b5
135a964ca18000
1428142c2a6bd7
1513188137866b
hex97ec28b5bd9

10440034442201 has 32 divisors (see below), whose sum is σ = 12959415302400. Its totient is φ = 8238447584640.

The previous prime is 10440034442179. The next prime is 10440034442213. The reversal of 10440034442201 is 10224443004401.

It is not a de Polignac number, because 10440034442201 - 234 = 10422854573017 is a prime.

It is a super-3 number, since 3×104400344422013 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10440034492201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4933061 + ... + 6724221.

It is an arithmetic number, because the mean of its divisors is an integer number (404981728200).

Almost surely, 210440034442201 is an apocalyptic number.

It is an amenable number.

10440034442201 is a deficient number, since it is larger than the sum of its proper divisors (2519380860199).

10440034442201 is an equidigital number, since it uses as much as digits as its factorization.

10440034442201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791586 (or 1791560 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 10440034442201 its reverse (10224443004401), we get a palindrome (20664477446602).

The spelling of 10440034442201 in words is "ten trillion, four hundred forty billion, thirty-four million, four hundred forty-two thousand, two hundred one".

Divisors: 1 7 13 91 169 379 1183 2197 2653 4927 15379 34489 64051 448357 832663 1791161 5828641 12538127 23285093 162995651 302706209 678850019 2118943463 3935180717 4751950133 8825050247 27546265019 61775351729 114725653211 803079572477 1491433491743 10440034442201