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144832443021 = 327193110933571
BaseRepresentation
bin1000011011100010101…
…1111011001010001101
3111211211121210102100100
42012320223323022031
54333104101134041
6150311325521313
713315040311320
oct2067053731215
9454747712310
10144832443021
1156472158102
12240a0113239
1310871ab5536
14701d3547b7
153b7a0cb6b6
hex21b8afb28d

144832443021 has 96 divisors (see below), whose sum is σ = 260101038080. Its totient is φ = 75785673600.

The previous prime is 144832443001. The next prime is 144832443023. The reversal of 144832443021 is 120344238441.

144832443021 is a `hidden beast` number, since 144 + 83 + 2 + 4 + 430 + 2 + 1 = 666.

It is not a de Polignac number, because 144832443021 - 27 = 144832442893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144832443023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40556166 + ... + 40559736.

Almost surely, 2144832443021 is an apocalyptic number.

It is an amenable number.

144832443021 is a deficient number, since it is larger than the sum of its proper divisors (115268595059).

144832443021 is a wasteful number, since it uses less digits than its factorization.

144832443021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4727 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 144832443021 in words is "one hundred forty-four billion, eight hundred thirty-two million, four hundred forty-three thousand, twenty-one".

Divisors: 1 3 7 9 19 21 31 57 63 93 133 171 217 279 399 589 651 1093 1197 1767 1953 3279 3571 4123 5301 7651 9837 10713 12369 20767 22953 24997 32139 33883 37107 62301 67849 68859 74991 101649 110701 145369 186903 203547 224973 237181 304947 332103 436107 474943 610641 643777 711543 774907 996309 1308321 1424829 1931331 2103319 2134629 2324721 3903103 4274487 4506439 5793993 6309957 6974163 11709309 13519317 14723233 18929871 27321721 35127927 40557951 44169699 74158957 81965163 120996193 132509097 222476871 245895489 362988579 519112699 667430613 846973351 1088965737 1557338097 2298927667 2540920053 4672014291 6896783001 7622760159 16092493669 20690349003 48277481007 144832443021