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144223442550 = 232521167743037
BaseRepresentation
bin1000011001010001100…
…0110001011001110110
3111210021011211222202100
42012110120301121312
54330332200130200
6150131052522530
713263664014615
oct2062430613166
9453234758670
10144223442550
115618a412030
1223b50180446
13107a5888025
146da250787c
153b418d1d00
hex2194631676

144223442550 has 144 divisors (see below), whose sum is σ = 423340016112. Its totient is φ = 34910803200.

The previous prime is 144223442549. The next prime is 144223442569. The reversal of 144223442550 is 55244322441.

144223442550 is a `hidden beast` number, since 1 + 4 + 4 + 223 + 4 + 425 + 5 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3329632 + ... + 3372668.

It is an arithmetic number, because the mean of its divisors is an integer number (2939861223).

Almost surely, 2144223442550 is an apocalyptic number.

144223442550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144223442550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211670008056).

144223442550 is an abundant number, since it is smaller than the sum of its proper divisors (279116573562).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144223442550 is a wasteful number, since it uses less digits than its factorization.

144223442550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43743 (or 43735 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 144223442550 its reverse (55244322441), we get a palindrome (199467764991).

The spelling of 144223442550 in words is "one hundred forty-four billion, two hundred twenty-three million, four hundred forty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 677 825 990 1354 1650 2031 2475 3385 4062 4950 6093 6770 7447 10155 12186 14894 16925 20310 22341 30465 33850 37235 43037 44682 50775 60930 67023 74470 86074 101550 111705 129111 134046 152325 186175 215185 223410 258222 304650 335115 372350 387333 430370 473407 558525 645555 670230 774666 946814 1075925 1117050 1291110 1420221 1675575 1936665 2151850 2367035 2840442 3227775 3351150 3873330 4260663 4734070 6455550 7101105 8521326 9683325 11835175 14202210 19366650 21303315 23670350 29136049 35505525 42606630 58272098 71011050 87408147 106516575 145680245 174816294 213033150 262224441 291360490 320496539 437040735 524448882 640993078 728401225 874081470 961489617 1311122205 1456802450 1602482695 1922979234 2185203675 2622244410 2884468851 3204965390 4370407350 4807448085 5768937702 6555611025 8012413475 9614896170 13111222050 14422344255 16024826950 24037240425 28844688510 48074480850 72111721275 144223442550