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1144106341 = 7317375303
BaseRepresentation
bin100010000110001…
…1010110101100101
32221201211121211221
41010030122311211
54320342400331
6305310100341
740231513000
oct10414326545
92851747757
101144106341
11537900034
1227b1aa6b1
13153054601
14abd40537
156a699711
hex4431ad65

1144106341 has 32 divisors (see below), whose sum is σ = 1451174400. Its totient is φ = 897861888.

The previous prime is 1144106251. The next prime is 1144106351. The reversal of 1144106341 is 1436014411.

It is a happy number.

It is not a de Polignac number, because 1144106341 - 211 = 1144104293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144106351) 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, 213096 + ... + 218398.

It is an arithmetic number, because the mean of its divisors is an integer number (45349200).

Almost surely, 21144106341 is an apocalyptic number.

It is an amenable number.

1144106341 is a deficient number, since it is larger than the sum of its proper divisors (307068059).

1144106341 is an equidigital number, since it uses as much as digits as its factorization.

1144106341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5378 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1144106341 is about 33824.6410328329. The cubic root of 1144106341 is about 1045.8967115989.

The spelling of 1144106341 in words is "one billion, one hundred forty-four million, one hundred six thousand, three hundred forty-one".

Divisors: 1 7 17 37 49 119 259 343 629 833 1813 4403 5303 5831 12691 30821 37121 90151 196211 215747 259847 631057 1373477 1818929 3335587 4417399 9614339 23349109 30921793 67300373 163443763 1144106341