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144130010244444 = 223471722371671077
BaseRepresentation
bin100000110001010111100010…
…000011111110010101011100
3200220022200202020010221220000
4200301113202003332111130
5122342411230110310234
61230312225043454300
742234023005114560
oct4061274203762534
9626280666127800
10144130010244444
1141a19215359824
12141b9440987390
13625652b559853
142783d032016a0
15119e244180899
hex8315e20fe55c

144130010244444 has 240 divisors, whose sum is σ = 456144776885952. Its totient is φ = 38740300904448.

The previous prime is 144130010244421. The next prime is 144130010244469. The reversal of 144130010244444 is 444442010031441.

144130010244444 is a `hidden beast` number, since 1 + 4 + 41 + 30 + 0 + 102 + 44 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144130010244399 and 144130010244408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 85414234 + ... + 87085310.

Almost surely, 2144130010244444 is an apocalyptic number.

144130010244444 is a gapful number since it is divisible by the number (14) 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 144130010244444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228072388442976).

144130010244444 is an abundant number, since it is smaller than the sum of its proper divisors (312014766641508).

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

144130010244444 is a wasteful number, since it uses less digits than its factorization.

144130010244444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673354 (or 1673343 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 144130010244444 its reverse (444442010031441), we get a palindrome (588572020275885).

The spelling of 144130010244444 in words is "one hundred forty-four trillion, one hundred thirty billion, ten million, two hundred forty-four thousand, four hundred forty-four".