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144329024 = 2671132851
BaseRepresentation
bin10001001101001…
…00100101000000
3101001120200012102
420212210211000
5243422012044
622153245532
73401530220
oct1046444500
9331520172
10144329024
1174519594
12404038a8
1323b948b8
1415250080
15ca0e24e
hex89a4940

144329024 has 56 divisors (see below), whose sum is σ = 330330048. Its totient is φ = 61286400.

The previous prime is 144328967. The next prime is 144329033. The reversal of 144329024 is 420923441.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49199 + ... + 52049.

Almost surely, 2144329024 is an apocalyptic number.

144329024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144329024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165165024).

144329024 is an abundant number, since it is smaller than the sum of its proper divisors (186001024).

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

144329024 is a wasteful number, since it uses less digits than its factorization.

144329024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 144329024 is about 12013.7015111913. The cubic root of 144329024 is about 524.5471820389.

The spelling of 144329024 in words is "one hundred forty-four million, three hundred twenty-nine thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 224 226 448 452 791 904 1582 1808 2851 3164 3616 5702 6328 7232 11404 12656 19957 22808 25312 39914 45616 50624 79828 91232 159656 182464 319312 322163 638624 644326 1277248 1288652 2255141 2577304 4510282 5154608 9020564 10309216 18041128 20618432 36082256 72164512 144329024