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144112756212 = 223216756342577
BaseRepresentation
bin1000011000110111001…
…0100010010111110100
3111202222110120112122100
42012031302202113310
54330120331144322
6150112100302100
713261151134125
oct2061562422764
9452873515570
10144112756212
1156132991817
1223b1b0a1930
1310788972459
146d9193404c
153b36d1adac
hex218dca25f4

144112756212 has 72 divisors (see below), whose sum is σ = 367125909696. Its totient is φ = 47664002304.

The previous prime is 144112756211. The next prime is 144112756231. The reversal of 144112756212 is 212657211441.

144112756212 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 1 + 27 + 5 + 621 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144112756211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3363468 + ... + 3406044.

It is an arithmetic number, because the mean of its divisors is an integer number (5098970968).

Almost surely, 2144112756212 is an apocalyptic number.

144112756212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144112756212 is an abundant number, since it is smaller than the sum of its proper divisors (223013153484).

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

144112756212 is a wasteful number, since it uses less digits than its factorization.

144112756212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43317 (or 43312 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

Adding to 144112756212 its reverse (212657211441), we get a palindrome (356769967653).

The spelling of 144112756212 in words is "one hundred forty-four billion, one hundred twelve million, seven hundred fifty-six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 167 334 501 563 668 1002 1126 1503 1689 2004 2252 3006 3378 5067 6012 6756 10134 20268 42577 85154 94021 127731 170308 188042 255462 282063 376084 383193 510924 564126 766386 846189 1128252 1532772 1692378 3384756 7110359 14220718 21331077 23970851 28441436 42662154 47941702 63993231 71912553 85324308 95883404 127986462 143825106 215737659 255972924 287650212 431475318 862950636 4003132117 8006264234 12009396351 16012528468 24018792702 36028189053 48037585404 72056378106 144112756212