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144133000 = 23531113103
BaseRepresentation
bin10001001011101…
…00101110001000
3101001012201022021
420211310232020
5243344224000
622145134224
73400052554
oct1045645610
9331181267
10144133000
11743a5290
124032a374
1323b265cb
14151dc864
15c9c111a
hex8974b88

144133000 has 64 divisors (see below), whose sum is σ = 367960320. Its totient is φ = 52408000.

The previous prime is 144132997. The next prime is 144133001. The reversal of 144133000 is 331441.

It is not an unprimeable number, because it can be changed into a prime (144133001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4449 + ... + 17551.

It is an arithmetic number, because the mean of its divisors is an integer number (5749380).

Almost surely, 2144133000 is an apocalyptic number.

144133000 is a gapful number since it is divisible by the number (10) 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 144133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183980160).

144133000 is an abundant number, since it is smaller than the sum of its proper divisors (223827320).

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

144133000 is a wasteful number, since it uses less digits than its factorization.

144133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13135 (or 13121 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 144133000 is about 12005.5403876710. The cubic root of 144133000 is about 524.3095989110.

Adding to 144133000 its reverse (331441), we get a palindrome (144464441).

The spelling of 144133000 in words is "one hundred forty-four million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 13103 26206 52412 65515 104824 131030 144133 262060 288266 327575 524120 576532 655150 720665 1153064 1310300 1441330 1637875 2620600 2882660 3275750 3603325 5765320 6551500 7206650 13103000 14413300 18016625 28826600 36033250 72066500 144133000