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144143240124 = 223132961351977
BaseRepresentation
bin1000011000111110011…
…0110100101110111100
3111210001120221021201010
42012033212310232330
54330201132140444
6150115105515220
713262001216402
oct2061746645674
9453046837633
10144143240124
1156149112834
1223b29342b10
1310792086780
146d959cb472
153b3983d2b9
hex218f9b4bbc

144143240124 has 96 divisors (see below), whose sum is σ = 375314425920. Its totient is φ = 42751715328.

The previous prime is 144143240117. The next prime is 144143240147. The reversal of 144143240124 is 421042341441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 144143240091 and 144143240100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2747224 + ... + 2799200.

It is an arithmetic number, because the mean of its divisors is an integer number (3909525270).

Almost surely, 2144143240124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144143240124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187657212960).

144143240124 is an abundant number, since it is smaller than the sum of its proper divisors (231171185796).

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

144143240124 is a wasteful number, since it uses less digits than its factorization.

144143240124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52639 (or 52637 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 144143240124 its reverse (421042341441), we get a palindrome (565185581565).

The spelling of 144143240124 in words is "one hundred forty-four billion, one hundred forty-three million, two hundred forty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 613 754 1131 1226 1508 1839 2262 2452 3678 4524 7356 7969 15938 17777 23907 31876 35554 47814 51977 53331 71108 95628 103954 106662 155931 207908 213324 231101 311862 462202 623724 675701 693303 924404 1351402 1386606 1507333 2027103 2702804 2773212 3014666 4054206 4521999 6029332 8108412 9043998 18087996 19595329 31861901 39190658 58785987 63723802 78381316 95585703 117571974 127447604 191171406 235143948 382342812 414204713 828409426 923995129 1242614139 1656818852 1847990258 2485228278 2771985387 3695980516 4970456556 5543970774 11087941548 12011936677 24023873354 36035810031 48047746708 72071620062 144143240124