Search a number
-
+
144713416113 = 32717294659307
BaseRepresentation
bin1000011011000110010…
…1110111110110110001
3111211112022211020010100
42012301211313312301
54332333113303423
6150251434423013
713312063512150
oct2066145676661
9454468736110
10144713416113
1156410a50462
1224068291a69
131085323c506
14700b60d597
153b6e919343
hex21b1977db1

144713416113 has 48 divisors (see below), whose sum is σ = 261666737280. Its totient is φ = 75145287168.

The previous prime is 144713416097. The next prime is 144713416123. The reversal of 144713416113 is 311614317441.

144713416113 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 1 + 34 + 1 + 611 + 3 = 666.

It is not a de Polignac number, because 144713416113 - 24 = 144713416097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144713416123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2298595 + ... + 2360712.

It is an arithmetic number, because the mean of its divisors is an integer number (5451390360).

Almost surely, 2144713416113 is an apocalyptic number.

It is an amenable number.

144713416113 is a deficient number, since it is larger than the sum of its proper divisors (116953321167).

144713416113 is a wasteful number, since it uses less digits than its factorization.

144713416113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659366 (or 4659363 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 144713416113 in words is "one hundred forty-four billion, seven hundred thirteen million, four hundred sixteen thousand, one hundred thirteen".

Divisors: 1 3 7 9 17 21 29 51 63 87 119 153 203 261 357 493 609 1071 1479 1827 3451 4437 10353 31059 4659307 13977921 32615149 41933763 79208219 97845447 135119903 237624657 293536341 405359709 554457533 712873971 945839321 1216079127 1663372599 2297038351 2837517963 4990117797 6891115053 8512553889 16079268457 20673345159 48237805371 144713416113