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144809613 = 34131131217
BaseRepresentation
bin10001010000110…
…01111010001101
3101002111002110000
420220121322031
5244032401423
622211434513
73405601314
oct1050317215
9332432400
10144809613
1174817673
12405b5a39
1324002580
141533727b
15caa6843
hex8a19e8d

144809613 has 40 divisors (see below), whose sum is σ = 235215288. Its totient is φ = 88252416.

The previous prime is 144809611. The next prime is 144809617. The reversal of 144809613 is 316908441.

It can be written as a sum of positive squares in 4 ways, for example, as 6441444 + 138368169 = 2538^2 + 11763^2 .

It is not a de Polignac number, because 144809613 - 21 = 144809611 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144809611) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 118381 + ... + 119597.

Almost surely, 2144809613 is an apocalyptic number.

144809613 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

144809613 is a deficient number, since it is larger than the sum of its proper divisors (90405675).

144809613 is a wasteful number, since it uses less digits than its factorization.

144809613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 144809613 is about 12033.6865922293. The cubic root of 144809613 is about 525.1287520955.

The spelling of 144809613 in words is "one hundred forty-four million, eight hundred nine thousand, six hundred thirteen".

Divisors: 1 3 9 13 27 39 81 113 117 339 351 1017 1053 1217 1469 3051 3651 4407 9153 10953 13221 15821 32859 39663 47463 98577 118989 137521 142389 412563 427167 1237689 1281501 1787773 3713067 5363319 11139201 16089957 48269871 144809613