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141128288 = 2571737061
BaseRepresentation
bin10000110100101…
…11001001100000
3100211120001121122
420122113021200
5242112101123
622000511412
73332366510
oct1032271140
9324501548
10141128288
1172732854
123b31b568
1323313a82
1414a59840
15c5cabc8
hex8697260

141128288 has 48 divisors (see below), whose sum is σ = 336226464. Its totient is φ = 56924160.

The previous prime is 141128287. The next prime is 141128291. The reversal of 141128288 is 882821141.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141128287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14723 + ... + 22338.

It is an arithmetic number, because the mean of its divisors is an integer number (7004718).

Almost surely, 2141128288 is an apocalyptic number.

It is an amenable number.

141128288 is an abundant number, since it is smaller than the sum of its proper divisors (195098176).

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

141128288 is a wasteful number, since it uses less digits than its factorization.

141128288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37095 (or 37087 counting only the distinct ones).

The product of its digits is 8192, while the sum is 35.

The square root of 141128288 is about 11879.7427581577. The cubic root of 141128288 is about 520.6405911983.

The spelling of 141128288 in words is "one hundred forty-one million, one hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 37061 74122 148244 259427 296488 518854 592976 630037 1037708 1185952 1260074 2075416 2520148 4150832 4410259 5040296 8301664 8820518 10080592 17641036 20161184 35282072 70564144 141128288