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144212144444 = 22717333720641
BaseRepresentation
bin1000011001001110110…
…1101011000100111100
3111210020101120222122222
42012103231223010330
54330321302110234
6150130010424512
713263466000544
oct2062355530474
9453211528588
10144212144444
1156183aa5655
1223b48432138
13107a3430664
146da0c06324
153b408ee42e
hex2193b6b13c

144212144444 has 48 divisors (see below), whose sum is σ = 260214042816. Its totient is φ = 69905203200.

The previous prime is 144212144413. The next prime is 144212144449. The reversal of 144212144444 is 444441212441.

144212144444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144212144449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6976364 + ... + 6997004.

It is an arithmetic number, because the mean of its divisors is an integer number (5421125892).

Almost surely, 2144212144444 is an apocalyptic number.

It is an amenable number.

144212144444 is a deficient number, since it is larger than the sum of its proper divisors (116001898372).

144212144444 is a wasteful number, since it uses less digits than its factorization.

144212144444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21126 (or 21124 counting only the distinct ones).

The product of its digits is 65536, while the sum is 35.

Adding to 144212144444 its reverse (444441212441), we get a palindrome (588653356885).

The spelling of 144212144444 in words is "one hundred forty-four billion, two hundred twelve million, one hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 4 71 73 142 146 284 292 337 674 1348 5183 10366 20641 20732 23927 24601 41282 47854 49202 82564 95708 98404 1465511 1506793 1746671 2931022 3013586 3493342 5862044 6027172 6956017 6986684 13912034 27824068 106982303 213964606 427929212 493877207 507789241 987754414 1015578482 1975508828 2031156964 36053036111 72106072222 144212144444