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144341123124 = 223112313317599
BaseRepresentation
bin1000011001101101100…
…1101100000000110100
3111210120101021210011010
42012123121230000310
54331102311414444
6150150455112220
713266623205642
oct2063331540064
9453511253133
10144341123124
115623a88a200
1223b83672670
13107c407c2c3
146db3dbc192
153b4bdca2b9
hex219b66c034

144341123124 has 72 divisors (see below), whose sum is σ = 371381113600. Its totient is φ = 43599853440.

The previous prime is 144341123093. The next prime is 144341123177. The reversal of 144341123124 is 421321143441.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 144341123091 and 144341123100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295677 + ... + 613275.

Almost surely, 2144341123124 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 144341123124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185690556800).

144341123124 is an abundant number, since it is smaller than the sum of its proper divisors (227039990476).

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

144341123124 is a wasteful number, since it uses less digits than its factorization.

144341123124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317941 (or 317928 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 144341123124 its reverse (421321143441), we get a palindrome (565662266565).

The spelling of 144341123124 in words is "one hundred forty-four billion, three hundred forty-one million, one hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 313 363 484 626 726 939 1252 1452 1878 3443 3756 6886 10329 13772 20658 37873 41316 75746 113619 151492 227238 317599 454476 635198 952797 1270396 1905594 3493589 3811188 6987178 10480767 13974356 20961534 38429479 41923068 76858958 99408487 115288437 153717916 198816974 230576874 298225461 397633948 461153748 596450922 1093493357 1192901844 2186986714 3280480071 4373973428 6560960142 12028426927 13121920284 24056853854 36085280781 48113707708 72170561562 144341123124