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144462006041 = 3147283734949
BaseRepresentation
bin1000011010001010011…
…0110100011100011001
3111210212210202021100012
42012202212310130121
54331324233143131
6150210454051305
713302621535163
oct2064246643431
9453783667305
10144462006041
11562a2044341
1223bb8049b35
1310813125062
146dc6087933
153b5780752b
hex21a29b4719

144462006041 has 16 divisors (see below), whose sum is σ = 152352921600. Its totient is φ = 136775288640.

The previous prime is 144462006019. The next prime is 144462006047. The reversal of 144462006041 is 140600264441.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144462006041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144462005989 and 144462006007.

It is not an unprimeable number, because it can be changed into a prime (144462006047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4116035 + ... + 4150983.

It is an arithmetic number, because the mean of its divisors is an integer number (9522057600).

Almost surely, 2144462006041 is an apocalyptic number.

It is an amenable number.

144462006041 is a deficient number, since it is larger than the sum of its proper divisors (7890915559).

144462006041 is a wasteful number, since it uses less digits than its factorization.

144462006041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37864.

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 144462006041 in words is "one hundred forty-four billion, four hundred sixty-two million, six thousand, forty-one".

Divisors: 1 31 47 1457 2837 34949 87947 133339 1083419 1642603 4133509 50920693 99150313 3073659703 4660064711 144462006041