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144105234 = 237131929479
BaseRepresentation
bin10001001011011…
…01111100010010
3101001011022012220
420211231330102
5243342331414
622144401510
73366605610
oct1045557422
9331138186
10144105234
1174386439
1240316296
1323b16a90
14151d26b0
15c9b7ca9
hex896df12

144105234 has 128 divisors (see below), whose sum is σ = 387072000. Its totient is φ = 34691328.

The previous prime is 144105233. The next prime is 144105257. The reversal of 144105234 is 432501441.

144105234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144105233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 300607 + ... + 301085.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 2144105234 is an apocalyptic number.

144105234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144105234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536000).

144105234 is an abundant number, since it is smaller than the sum of its proper divisors (242966766).

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

144105234 is a wasteful number, since it uses less digits than its factorization.

144105234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 144105234 is about 12004.3839492079. The cubic root of 144105234 is about 524.2759288164.

Adding to 144105234 its reverse (432501441), we get a palindrome (576606675).

The spelling of 144105234 in words is "one hundred forty-four million, one hundred five thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 19 21 26 29 38 39 42 57 58 78 87 91 114 133 174 182 203 247 266 273 377 399 406 479 494 546 551 609 741 754 798 958 1102 1131 1218 1437 1482 1653 1729 2262 2639 2874 3306 3353 3458 3857 5187 5278 6227 6706 7163 7714 7917 9101 10059 10374 11571 12454 13891 14326 15834 18202 18681 20118 21489 23142 27303 27782 37362 41673 42978 43589 50141 54606 63707 83346 87178 97237 100282 118313 127414 130767 150423 180583 191121 194474 236626 261534 263929 291711 300846 354939 361166 382242 527858 541749 583422 709878 791787 828191 1083498 1264081 1583574 1656382 1847503 2484573 2528162 3431077 3695006 3792243 4969146 5542509 6862154 7584486 10293231 11085018 20586462 24017539 48035078 72052617 144105234