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2144154663 = 327213115971
BaseRepresentation
bin111111111001101…
…0011010000100111
312112102121100020200
41333303103100213
513342400422123
6552432401543
7104064004530
oct17763232047
95472540220
102144154663
11a00357152
124ba0a62b3
132822aa791
14164aa1687
15c838a143
hex7fcd3427

2144154663 has 24 divisors (see below), whose sum is σ = 3541439616. Its totient is φ = 1224579600.

The previous prime is 2144154641. The next prime is 2144154671. The reversal of 2144154663 is 3664514412.

2144154663 is a `hidden beast` number, since 2 + 14 + 41 + 546 + 63 = 666.

It is not a de Polignac number, because 2144154663 - 210 = 2144153639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144154673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126268 + ... + 142238.

It is an arithmetic number, because the mean of its divisors is an integer number (147559984).

Almost surely, 22144154663 is an apocalyptic number.

2144154663 is a deficient number, since it is larger than the sum of its proper divisors (1397284953).

2144154663 is a wasteful number, since it uses less digits than its factorization.

2144154663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18115 (or 18112 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2144154663 is about 46305.0176870715. The cubic root of 2144154663 is about 1289.4921509157.

The spelling of 2144154663 in words is "two billion, one hundred forty-four million, one hundred fifty-four thousand, six hundred sixty-three".

Divisors: 1 3 7 9 21 63 2131 6393 14917 15971 19179 44751 47913 111797 134253 143739 335391 1006173 34034201 102102603 238239407 306307809 714718221 2144154663