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42144501105 = 3257593225619
BaseRepresentation
bin100111010000000000…
…100000110101110001
311000210010022110222100
4213100000200311301
51142302443013410
631205542531013
73021244230420
oct472000406561
9130703273870
1042144501105
1116967521503
128202136a69
133c88451925
14207b31d2b7
151169dde8c0
hex9d0020d71

42144501105 has 48 divisors (see below), whose sum is σ = 83627406720. Its totient is φ = 19233483264.

The previous prime is 42144501079. The next prime is 42144501181. The reversal of 42144501105 is 50110544124.

42144501105 is a `hidden beast` number, since 4 + 2 + 144 + 501 + 10 + 5 = 666.

It is not a de Polignac number, because 42144501105 - 25 = 42144501073 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 73986 + ... + 299604.

It is an arithmetic number, because the mean of its divisors is an integer number (1742237640).

Almost surely, 242144501105 is an apocalyptic number.

42144501105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42144501105 is a deficient number, since it is larger than the sum of its proper divisors (41482905615).

42144501105 is a wasteful number, since it uses less digits than its factorization.

42144501105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226230 (or 226227 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 42144501105 in words is "forty-two billion, one hundred forty-four million, five hundred one thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 593 1779 2965 4151 5337 8895 12453 20755 26685 37359 62265 186795 225619 676857 1128095 1579333 2030571 3384285 4737999 7896665 10152855 14213997 23689995 71069985 133792067 401376201 668960335 936544469 1204128603 2006881005 2809633407 4682722345 6020643015 8428900221 14048167035 42144501105