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144579920272 = 24195328373163
BaseRepresentation
bin1000011010100110100…
…0101000000110010000
3111211012000121221020221
42012221220220012100
54332044424422042
6150230305242424
713305553021354
oct2065150500620
9454160557227
10144579920272
1156352661017
122402b633414
131083169b7a8
146dd79bd464
153b62d49d67
hex21a9a28190

144579920272 has 80 divisors (see below), whose sum is σ = 300631383360. Its totient is φ = 67148130816.

The previous prime is 144579920161. The next prime is 144579920321. The reversal of 144579920272 is 272029975441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45708163 + ... + 45711325.

It is an arithmetic number, because the mean of its divisors is an integer number (3757892292).

Almost surely, 2144579920272 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 144579920272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150315691680).

144579920272 is an abundant number, since it is smaller than the sum of its proper divisors (156051463088).

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

144579920272 is a wasteful number, since it uses less digits than its factorization.

144579920272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6080 (or 6074 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 144579920272 in words is "one hundred forty-four billion, five hundred seventy-nine million, nine hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 38 53 76 106 152 212 304 424 848 1007 2014 2837 3163 4028 5674 6326 8056 11348 12652 16112 22696 25304 45392 50608 53903 60097 107806 120194 150361 167639 215612 240388 300722 335278 431224 480776 601444 670556 862448 961552 1202888 1341112 2405776 2682224 2856859 3185141 5713718 6370282 8973431 11427436 12740564 17946862 22854872 25481128 35893724 45709744 50962256 71787448 143574896 170495189 340990378 475591843 681980756 951183686 1363961512 1902367372 2727923024 3804734744 7609469488 9036245017 18072490034 36144980068 72289960136 144579920272