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144042532000 = 255336010633
BaseRepresentation
bin1000011000100110011…
…0101001110010100000
3111202210120102210010121
42012021212221302200
54324444342011000
6150101111210024
713256336214613
oct2061146516240
9452716383117
10144042532000
11560a7288284
1223abb676914
1310777255873
146d8649417a
153b30a98b1a
hex21899a9ca0

144042532000 has 48 divisors (see below), whose sum is σ = 353912510952. Its totient is φ = 57617011200.

The previous prime is 144042531977. The next prime is 144042532001. The reversal of 144042532000 is 235240441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 87992916496 + 56049615504 = 296636^2 + 236748^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (144042532001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18001317 + ... + 18009316.

Almost surely, 2144042532000 is an apocalyptic number.

144042532000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144042532000 is an abundant number, since it is smaller than the sum of its proper divisors (209869978952).

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

144042532000 is an equidigital number, since it uses as much as digits as its factorization.

144042532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36010658 (or 36010640 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 144042532000 its reverse (235240441), we get a palindrome (144277772441).

The spelling of 144042532000 in words is "one hundred forty-four billion, forty-two million, five hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 36010633 72021266 144042532 180053165 288085064 360106330 576170128 720212660 900265825 1152340256 1440425320 1800531650 2880850640 3601063300 4501329125 5761701280 7202126600 9002658250 14404253200 18005316500 28808506400 36010633000 72021266000 144042532000