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144038687832 = 233313213073019
BaseRepresentation
bin1000011000100101011…
…1111111010001011000
3111202210022012110221000
42012021113333101120
54324442401002312
6150100452545000
713256261434254
oct2061127772130
9452708173830
10144038687832
11560a50a2086
1223aba322160
131077650ac00
146d85b73264
153b30589adc
hex21895ff458

144038687832 has 192 divisors, whose sum is σ = 433727568000. Its totient is φ = 44271017856.

The previous prime is 144038687831. The next prime is 144038687857. The reversal of 144038687832 is 238786830441.

144038687832 is a `hidden beast` number, since 1 + 4 + 403 + 86 + 87 + 83 + 2 = 666.

144038687832 is digitally balanced in base 2 and base 3, because in such bases 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144038687831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47709219 + ... + 47712237.

It is an arithmetic number, because the mean of its divisors is an integer number (2258997750).

Almost surely, 2144038687832 is an apocalyptic number.

144038687832 is a gapful number since it is divisible by the number (12) 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 144038687832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216863784000).

144038687832 is an abundant number, since it is smaller than the sum of its proper divisors (289688880168).

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

144038687832 is a wasteful number, since it uses less digits than its factorization.

144038687832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 144038687832 in words is "one hundred forty-four billion, thirty-eight million, six hundred eighty-seven thousand, eight hundred thirty-two".