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144410014441 = 7112063909091
BaseRepresentation
bin1000011001111110000…
…0011111001011101001
3111210202011220211021101
42012133200133023221
54331222430430231
6150201355441401
713301420604160
oct2063740371351
9453664824241
10144410014441
1156275763280
1223ba2756261
13108054202b4
146dbd1d23d7
153b52e87661
hex219f81f2e9

144410014441 has 16 divisors (see below), whose sum is σ = 180131125248. Its totient is φ = 112472614800.

The previous prime is 144410014433. The next prime is 144410014457.

It is a happy number.

144410014441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144410014441 - 23 = 144410014433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144410074441) 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, 295695 + ... + 613396.

It is an arithmetic number, because the mean of its divisors is an integer number (11258195328).

Almost surely, 2144410014441 is an apocalyptic number.

144410014441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144410014441 is a deficient number, since it is larger than the sum of its proper divisors (35721110807).

144410014441 is a wasteful number, since it uses less digits than its factorization.

144410014441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911172.

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 1444100 and 14441, that multiplied together give a square (20854248100 = 1444102).

The spelling of 144410014441 in words is "one hundred forty-four billion, four hundred ten million, fourteen thousand, four hundred forty-one".

Divisors: 1 7 11 77 2063 14441 22693 158851 909091 6363637 10000001 70000007 1875454733 13128183131 20630002063 144410014441