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144606441 = 3729367647
BaseRepresentation
bin10001001111010…
…00010011101001
3101002002202202010
420213220103221
5244004401231
622203230133
73404064060
oct1047502351
9332082663
10144606441
1174698a61
1240518349
1323c60c55
14152c31d7
15ca66546
hex89e84e9

144606441 has 32 divisors (see below), whose sum is σ = 228925440. Its totient is φ = 79442496.

The previous prime is 144606433. The next prime is 144606443.

144606441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144606441 - 23 = 144606433 is a prime.

It is a super-2 number, since 2×1446064412 = 41822045557372962, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144606399 and 144606408.

It is not an unprimeable number, because it can be changed into a prime (144606443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223180 + ... + 223826.

It is an arithmetic number, because the mean of its divisors is an integer number (7153920).

Almost surely, 2144606441 is an apocalyptic number.

It is an amenable number.

144606441 is a deficient number, since it is larger than the sum of its proper divisors (84318999).

144606441 is a wasteful number, since it uses less digits than its factorization.

144606441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053.

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 144606441 is about 12025.2418270902. The cubic root of 144606441 is about 524.8830469645.

The spelling of 144606441 in words is "one hundred forty-four million, six hundred six thousand, four hundred forty-one".

Divisors: 1 3 7 21 29 87 203 367 609 647 1101 1941 2569 4529 7707 10643 13587 18763 31929 56289 74501 131341 223503 237449 394023 712347 1662143 4986429 6886021 20658063 48202147 144606441