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144331331144 = 237111318023393
BaseRepresentation
bin1000011001101011010…
…0010101011001001000
3111210112200212022002012
42012122310111121020
54331042310044034
6150145505155052
713266444033620
oct2063264253110
9453480768065
10144331331144
1156235301360
1223b8032ba88
13107c2031330
146db298d880
153b4b0e3cce
hex219ad15648

144331331144 has 64 divisors (see below), whose sum is σ = 363351623040. Its totient is φ = 51907368960.

The previous prime is 144331331071. The next prime is 144331331159. The reversal of 144331331144 is 441133133441.

It is a self number, because there is not a number n which added to its sum of digits gives 144331331144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9003689 + ... + 9019704.

It is an arithmetic number, because the mean of its divisors is an integer number (5677369110).

Almost surely, 2144331331144 is an apocalyptic number.

144331331144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144331331144 is an abundant number, since it is smaller than the sum of its proper divisors (219020291896).

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

144331331144 is a wasteful number, since it uses less digits than its factorization.

144331331144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18023430 (or 18023426 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

Adding to 144331331144 its reverse (441133133441), we get a palindrome (585464464585).

The spelling of 144331331144 in words is "one hundred forty-four billion, three hundred thirty-one million, three hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 18023393 36046786 72093572 126163751 144187144 198257323 234304109 252327502 396514646 468608218 504655004 793029292 937216436 1009310008 1387801261 1586058584 1640128763 1874432872 2577345199 2775602522 3280257526 5154690398 5551205044 6560515052 10309380796 11102410088 13121030104 18041416393 20618761592 36082832786 72165665572 144331331144