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144105420000 = 2535414891613
BaseRepresentation
bin1000011000110101011…
…0100011010011100000
3111202221221202211020210
42012031112203103200
54330111441420000
6150111235134120
713261031600553
oct2061526432340
9452857684223
10144105420000
1156129830a33
1223b18744340
13107872a41b9
146d9098469a
153b3636c350
hex218d5a34e0

144105420000 has 240 divisors, whose sum is σ = 473305306320. Its totient is φ = 38378496000.

The previous prime is 144105419971. The next prime is 144105420001. The reversal of 144105420000 is 24501441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144105420001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89339194 + ... + 89340806.

It is an arithmetic number, because the mean of its divisors is an integer number (1972105443).

Almost surely, 2144105420000 is an apocalyptic number.

144105420000 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 144105420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236652653160).

144105420000 is an abundant number, since it is smaller than the sum of its proper divisors (329199886320).

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

144105420000 is a wasteful number, since it uses less digits than its factorization.

144105420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 144105420000 its reverse (24501441), we get a palindrome (144129921441).

The spelling of 144105420000 in words is "one hundred forty-four billion, one hundred five million, four hundred twenty thousand".