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144332397 = 321117191449
BaseRepresentation
bin10001001101001…
…01011001101101
3101001120211211100
420212211121231
5243422114042
622153313313
73401543106
oct1046453155
9331524740
10144332397
1174521080
1240405839
1323b962b1
14152513ad
15ca1024c
hex89a566d

144332397 has 48 divisors (see below), whose sum is σ = 242611200. Its totient is φ = 81715200.

The previous prime is 144332393. The next prime is 144332399. The reversal of 144332397 is 793233441.

144332397 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144332397 - 22 = 144332393 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144332393) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321229 + ... + 321677.

It is an arithmetic number, because the mean of its divisors is an integer number (5054400).

Almost surely, 2144332397 is an apocalyptic number.

144332397 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

144332397 is a deficient number, since it is larger than the sum of its proper divisors (98278803).

144332397 is a wasteful number, since it uses less digits than its factorization.

144332397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 671 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 144332397 is about 12013.8418917514. The cubic root of 144332397 is about 524.5512682668.

The spelling of 144332397 in words is "one hundred forty-four million, three hundred thirty-two thousand, three hundred ninety-seven".

Divisors: 1 3 9 11 17 33 51 99 153 187 191 449 561 573 1347 1683 1719 2101 3247 4041 4939 6303 7633 9741 14817 18909 22899 29223 35717 44451 68697 83963 85759 107151 251889 257277 321453 755667 771831 943349 1457903 2830047 4373709 8490141 13121127 16036933 48110799 144332397