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144001000 = 235311131953
BaseRepresentation
bin10001001010101…
…00011111101000
3101000222000020101
420211110133220
5243331013000
622142235144
73365662663
oct1045243750
9330860211
10144001000
11743150a0
1240285ab4
1323aab4c0
14151a66da
15c996e6a
hex89547e8

144001000 has 256 divisors, whose sum is σ = 424569600. Its totient is φ = 44928000.

The previous prime is 144000949. The next prime is 144001001. The reversal of 144001000 is 100441.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2716974 + ... + 2717026.

It is an arithmetic number, because the mean of its divisors is an integer number (1658475).

Almost surely, 2144001000 is an apocalyptic number.

144001000 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 144001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

144001000 is an abundant number, since it is smaller than the sum of its proper divisors (280568600).

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

144001000 is a wasteful number, since it uses less digits than its factorization.

144001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 144001000 is about 12000.0416665943. The cubic root of 144001000 is about 524.1494921452.

Adding to 144001000 its reverse (100441), we get a palindrome (144101441).

It can be divided in two parts, 14400 and 1000, that added together give a triangular number (15400 = T175).

The spelling of 144001000 in words is "one hundred forty-four million, one thousand".