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141232128 = 2113127181
BaseRepresentation
bin10000110101100…
…00100000000000
3100211202100001120
420122300200000
5242123412003
622003032240
73333311322
oct1032604000
9324670046
10141232128
11727a3874
123b36b680
132334c10b
1414a85612
15c5eb853
hex86b0800

141232128 has 96 divisors (see below), whose sum is σ = 381588480. Its totient is φ = 46448640.

The previous prime is 141232099. The next prime is 141232129. The reversal of 141232128 is 821232141.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 141232098 and 141232107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141232129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 780198 + ... + 780378.

It is an arithmetic number, because the mean of its divisors is an integer number (3974880).

Almost surely, 2141232128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141232128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190794240).

141232128 is an abundant number, since it is smaller than the sum of its proper divisors (240356352).

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

141232128 is a wasteful number, since it uses less digits than its factorization.

141232128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 313 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 141232128 is about 11884.1124195289. The cubic root of 141232128 is about 520.7682529769.

Adding to 141232128 its reverse (821232141), we get a palindrome (962464269).

The spelling of 141232128 in words is "one hundred forty-one million, two hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 181 192 254 256 362 381 384 508 512 543 724 762 768 1016 1024 1086 1448 1524 1536 2032 2048 2172 2896 3048 3072 4064 4344 5792 6096 6144 8128 8688 11584 12192 16256 17376 22987 23168 24384 32512 34752 45974 46336 48768 65024 68961 69504 91948 92672 97536 130048 137922 139008 183896 185344 195072 260096 275844 278016 367792 370688 390144 551688 556032 735584 780288 1103376 1112064 1471168 2206752 2942336 4413504 5884672 8827008 11769344 17654016 23538688 35308032 47077376 70616064 141232128