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144441254422050 = 235273167528114957
BaseRepresentation
bin100000110101111001011001…
…101010010010011000100010
3200221102110010100222101120120
4200311321121222102120202
5122413011142113001200
61231111221330421110
742265351636015155
oct4065713152223042
9627373110871516
10144441254422050
1142029212600093
1214249823a31796
1362799a0a67291
142794dcb815c9c
1511a73ada629a0
hex835e59a92622

144441254422050 has 192 divisors, whose sum is σ = 365389335085824. Its totient is φ = 37752868454400.

The previous prime is 144441254422033. The next prime is 144441254422081. The reversal of 144441254422050 is 50224452144441.

It is a junction number, because it is equal to n+sod(n) for n = 144441254421993 and 144441254422011.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9657093172 + ... + 9657108128.

It is an arithmetic number, because the mean of its divisors is an integer number (1903069453572).

Almost surely, 2144441254422050 is an apocalyptic number.

144441254422050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144441254422050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182694667542912).

144441254422050 is an abundant number, since it is smaller than the sum of its proper divisors (220948080663774).

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

144441254422050 is a wasteful number, since it uses less digits than its factorization.

144441254422050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20493 (or 20488 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 42.

The spelling of 144441254422050 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred fifty-four million, four hundred twenty-two thousand, fifty".