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144808521 = 311132271487
BaseRepresentation
bin10001010000110…
…01101001001001
3101002111000221120
420220121221021
5244032333041
622211425453
73405565164
oct1050315111
9332430846
10144808521
1174816870
12405b5289
1324001c20
1415336adb
15caa6366
hex8a19a49

144808521 has 32 divisors (see below), whose sum is σ = 227985408. Its totient is φ = 80600640.

The previous prime is 144808493. The next prime is 144808537. The reversal of 144808521 is 125808441.

It is not a de Polignac number, because 144808521 - 213 = 144800329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (144808541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96640 + ... + 98126.

It is an arithmetic number, because the mean of its divisors is an integer number (7124544).

Almost surely, 2144808521 is an apocalyptic number.

144808521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144808521 is a deficient number, since it is larger than the sum of its proper divisors (83176887).

144808521 is a wasteful number, since it uses less digits than its factorization.

144808521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741.

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 144808521 is about 12033.6412195146. The cubic root of 144808521 is about 525.1274321047.

The spelling of 144808521 in words is "one hundred forty-four million, eight hundred eight thousand, five hundred twenty-one".

Divisors: 1 3 11 13 33 39 143 227 429 681 1487 2497 2951 4461 7491 8853 16357 19331 32461 49071 57993 97383 212641 337549 637923 1012647 3713039 4388137 11139117 13164411 48269507 144808521