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144104401041000 = 23353174636102757
BaseRepresentation
bin100000110000111111101011…
…101000100111011001101000
3200220020020122110220122001120
4200300333223220213121220
5122342001303131303000
61230252351541415240
742232125252353061
oct4060775350473150
9626206573818046
10144104401041000
1141a09373659184
12141b449440a520
136253ca9a5462a
142782993d97568
15119d745c736a0
hex830feba27668

144104401041000 has 256 divisors, whose sum is σ = 477081397877760. Its totient is φ = 36089257881600.

The previous prime is 144104401040911. The next prime is 144104401041019. The reversal of 144104401041000 is 140104401441.

144104401041000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20561622 + ... + 26664378.

It is an arithmetic number, because the mean of its divisors is an integer number (1863599210460).

Almost surely, 2144104401041000 is an apocalyptic number.

144104401041000 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 144104401041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238540698938880).

144104401041000 is an abundant number, since it is smaller than the sum of its proper divisors (332976996836760).

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

144104401041000 is a wasteful number, since it uses less digits than its factorization.

144104401041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6103261 (or 6103247 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 144104401041000 its reverse (140104401441), we get a palindrome (144244505442441).

The spelling of 144104401041000 in words is "one hundred forty-four trillion, one hundred four billion, four hundred one million, forty-one thousand".