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144805006049 = 11671059718541
BaseRepresentation
bin1000011011011100001…
…1010000101011100001
3111211202201011110220012
42012313003100223201
54333030040143144
6150304505454305
713314255146204
oct2066703205341
9454681143805
10144805006049
1156458718320
1224092aa1395
13108691ca042
14701985193b
153b779abe9e
hex21b70d0ae1

144805006049 has 16 divisors (see below), whose sum is σ = 160350622656. Its totient is φ = 129656894400.

The previous prime is 144805006043. The next prime is 144805006051. The reversal of 144805006049 is 940600508441.

It is not a de Polignac number, because 144805006049 - 236 = 76085529313 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144805005997 and 144805006015.

It is not an unprimeable number, because it can be changed into a prime (144805006043) 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, 7800719 + ... + 7819259.

It is an arithmetic number, because the mean of its divisors is an integer number (10021913916).

Almost surely, 2144805006049 is an apocalyptic number.

It is an amenable number.

144805006049 is a deficient number, since it is larger than the sum of its proper divisors (15545616607).

144805006049 is a wasteful number, since it uses less digits than its factorization.

144805006049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29216.

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 144805006049 in words is "one hundred forty-four billion, eight hundred five million, six thousand, forty-nine".

Divisors: 1 11 67 737 10597 18541 116567 203951 709999 1242247 7809989 13664717 196478977 2161268747 13164091459 144805006049