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1044412144401 = 35310165035939
BaseRepresentation
bin11110011001010111101…
…00001001101100010001
310200211210212201010021010
433030223310021230101
5114102424002110101
62115444000521133
7135312335515413
oct17145364115421
93624725633233
101044412144401
11372a2947836a
1214a4b76201a9
1377645473a22
143879a9b09b3
151c27a7852d6
hexf32bd09b11

1044412144401 has 16 divisors (see below), whose sum is σ = 1432871830080. Its totient is φ = 676373755200.

The previous prime is 1044412144339. The next prime is 1044412144423.

1044412144401 is nontrivially palindromic in base 10.

1044412144401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1044412144401 - 26 = 1044412144337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1044412144481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32501911 + ... + 32534028.

It is an arithmetic number, because the mean of its divisors is an integer number (89554489380).

Almost surely, 21044412144401 is an apocalyptic number.

It is an amenable number.

1044412144401 is a deficient number, since it is larger than the sum of its proper divisors (388459685679).

1044412144401 is a wasteful number, since it uses less digits than its factorization.

1044412144401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65036096.

The product of its (nonzero) digits is 8192, while the sum is 30.

The spelling of 1044412144401 in words is "one trillion, forty-four billion, four hundred twelve million, one hundred forty-four thousand, four hundred one".

Divisors: 1 3 53 101 159 303 5353 16059 65035939 195107817 3446904767 6568629839 10340714301 19705889517 348137381467 1044412144401