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144133115112 = 233271741410299
BaseRepresentation
bin1000011000111100000…
…0001100110011101000
3111210000212212212210200
42012033000030303220
54330141034140422
6150114104512200
713261516156410
oct2061700146350
9453025785720
10144133115112
1156143427758
1223b25a7b660
131078cc5003c
146d94513640
153b389dd2ac
hex218f00cce8

144133115112 has 192 divisors, whose sum is σ = 483891408000. Its totient is φ = 37813063680.

The previous prime is 144133115111. The next prime is 144133115131. The reversal of 144133115112 is 211511331441.

144133115112 is a `hidden beast` number, since 1 + 4 + 4 + 133 + 11 + 511 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (144133115111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146139 + ... + 556437.

It is an arithmetic number, because the mean of its divisors is an integer number (2520267750).

Almost surely, 2144133115112 is an apocalyptic number.

144133115112 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 144133115112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241945704000).

144133115112 is an abundant number, since it is smaller than the sum of its proper divisors (339758292888).

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

144133115112 is a wasteful number, since it uses less digits than its factorization.

144133115112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410376 (or 410369 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

Adding to 144133115112 its reverse (211511331441), we get a palindrome (355644446553).

The spelling of 144133115112 in words is "one hundred forty-four billion, one hundred thirty-three million, one hundred fifteen thousand, one hundred twelve".