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144232544484 = 223372215312659
BaseRepresentation
bin1000011001010011101…
…1011111100011100100
3111210021210222102021000
42012110323133203210
54330342012410414
6150132015553300
713264134254100
oct2062473374344
9453253872230
10144232544484
1156194569496
1223b5322b830
13107a7723ba2
146da37d6900
153b425cdb09
hex2194edf8e4

144232544484 has 144 divisors (see below), whose sum is σ = 435223454400. Its totient is φ = 41186904192.

The previous prime is 144232544471. The next prime is 144232544497. The reversal of 144232544484 is 484445232441.

It is a happy number.

144232544484 is a `hidden beast` number, since 1 + 4 + 4 + 23 + 2 + 544 + 4 + 84 = 666.

144232544484 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144232544471) and next prime (144232544497).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11387347 + ... + 11400005.

It is an arithmetic number, because the mean of its divisors is an integer number (3022385100).

Almost surely, 2144232544484 is an apocalyptic number.

144232544484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144232544484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217611727200).

144232544484 is an abundant number, since it is smaller than the sum of its proper divisors (290990909916).

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

144232544484 is a wasteful number, since it uses less digits than its factorization.

144232544484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14839 (or 14824 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 45.

The spelling of 144232544484 in words is "one hundred forty-four billion, two hundred thirty-two million, five hundred forty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2153 2646 4306 5292 6459 8612 12659 12918 15071 19377 25318 25836 30142 37977 38754 45213 50636 58131 60284 75954 77508 88613 90426 105497 113931 116262 135639 151908 177226 180852 210994 227862 232524 265839 271278 316491 341793 354452 406917 421988 455724 531678 542556 620291 632982 683586 797517 813834 949473 1063356 1240582 1265964 1367172 1595034 1627668 1860873 1898946 2392551 2481164 2848419 3190068 3721746 3797892 4785102 5582619 5696838 7443492 9570204 11165238 11393676 16747857 22330476 27254827 33495714 54509654 66991428 81764481 109019308 163528962 190783789 245293443 327057924 381567578 490586886 572351367 735880329 763135156 981173772 1144702734 1335486523 1471760658 1717054101 2289405468 2670973046 2943521316 3434108202 4006459569 5151162303 5341946092 6868216404 8012919138 10302324606 12019378707 16025838276 20604649212 24038757414 36058136121 48077514828 72116272242 144232544484