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10440181690129 = 32311272
BaseRepresentation
bin1001011111101100101101…
…0100100010111100010001
31100222001221012201222022201
42113323023110202330101
52332022443003041004
634112053034203201
72125164302104042
oct227731324427421
940861835658281
1010440181690129
113365724430994
121207463883501
135a9674392369
14281443a768c9
1513188e2626a4
hex97ecb522f11

10440181690129 has 3 divisors (see below), whose sum is σ = 10440184921257. Its totient is φ = 10440178459002.

The previous prime is 10440181690117. The next prime is 10440181690157. The reversal of 10440181690129 is 92109618104401.

It is a happy number.

The square root of 10440181690129 is 3231127.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 10440181690129 - 215 = 10440181657361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10440181690429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1615564 + ... + 4846690.

It is an arithmetic number, because the mean of its divisors is an integer number (3480061640419).

Almost surely, 210440181690129 is an apocalyptic number.

10440181690129 is the 3231127-th square number.

10440181690129 is the 1615564-th centered octagonal number.

It is an amenable number.

10440181690129 is a deficient number, since it is larger than the sum of its proper divisors (3231128).

10440181690129 is an frugal number, since it uses more digits than its factorization.

10440181690129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6462254 (or 3231127 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 46.

The spelling of 10440181690129 in words is "ten trillion, four hundred forty billion, one hundred eighty-one million, six hundred ninety thousand, one hundred twenty-nine".

Divisors: 1 3231127 10440181690129