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144324642 = 23711378443
BaseRepresentation
bin10001001101000…
…11100000100010
3101001120110012010
420212203200202
5243421342032
622153213350
73401511360
oct1046434042
9331513163
10144324642
1174516270
1240401256
1323b928c7
141524c630
15ca0cccc
hex89a3822

144324642 has 64 divisors (see below), whose sum is σ = 369644544. Its totient is φ = 36469440.

The previous prime is 144324637. The next prime is 144324643. The reversal of 144324642 is 246423441.

It is not an unprimeable number, because it can be changed into a prime (144324643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12873 + ... + 21315.

It is an arithmetic number, because the mean of its divisors is an integer number (5775696).

Almost surely, 2144324642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144324642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184822272).

144324642 is an abundant number, since it is smaller than the sum of its proper divisors (225319902).

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

144324642 is a wasteful number, since it uses less digits than its factorization.

144324642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8503.

The product of its digits is 18432, while the sum is 30.

The square root of 144324642 is about 12013.5191347082. The cubic root of 144324642 is about 524.5418733607.

The spelling of 144324642 in words is "one hundred forty-four million, three hundred twenty-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 37 42 66 74 77 111 154 222 231 259 407 462 518 777 814 1221 1554 2442 2849 5698 8443 8547 16886 17094 25329 50658 59101 92873 118202 177303 185746 278619 312391 354606 557238 624782 650111 937173 1300222 1874346 1950333 2186737 3436301 3900666 4373474 6560211 6872602 10308903 13120422 20617806 24054107 48108214 72162321 144324642