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144471024 = 24329710343
BaseRepresentation
bin10001001110001…
…11001111110000
3101001211212222200
420213013033300
5243441033044
622200303200
73402661215
oct1047071760
9331755880
10144471024
1174606245
1240471b00
1323c14419
1415289b0c
15ca3b369
hex89c73f0

144471024 has 60 divisors (see below), whose sum is σ = 408525936. Its totient is φ = 47655936.

The previous prime is 144471017. The next prime is 144471029. The reversal of 144471024 is 420174441.

144471024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144471029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8797 + ... + 19139.

Almost surely, 2144471024 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 144471024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204262968).

144471024 is an abundant number, since it is smaller than the sum of its proper divisors (264054912).

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

144471024 is a wasteful number, since it uses less digits than its factorization.

144471024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10454 (or 10445 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 144471024 is about 12019.6099770334. The cubic root of 144471024 is about 524.7191531902.

The spelling of 144471024 in words is "one hundred forty-four million, four hundred seventy-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 4656 6984 10343 13968 20686 31029 41372 62058 82744 93087 124116 165488 186174 248232 372348 496464 744696 1003271 1489392 2006542 3009813 4013084 6019626 8026168 9029439 12039252 16052336 18058878 24078504 36117756 48157008 72235512 144471024