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142144100 = 22527229009
BaseRepresentation
bin10000111100011…
…11001001100100
3100220110200001022
420132033021210
5242342102400
622034350312
73344130200
oct1036171144
9326420038
10142144100
1173266a6a
123b72b398
13235ab247
1414c41b00
15c72bb85
hex878f264

142144100 has 54 divisors (see below), whose sum is σ = 358824690. Its totient is φ = 48733440.

The previous prime is 142144069. The next prime is 142144103. The reversal of 142144100 is 1441241.

It can be written as a sum of positive squares in 3 ways, for example, as 200704 + 141943396 = 448^2 + 11914^2 .

It is not an unprimeable number, because it can be changed into a prime (142144103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9605 + ... + 19404.

Almost surely, 2142144100 is an apocalyptic number.

142144100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142144100 is an abundant number, since it is smaller than the sum of its proper divisors (216680590).

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

142144100 is a wasteful number, since it uses less digits than its factorization.

142144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29037 (or 29023 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 142144100 is about 11922.4200563476. The cubic root of 142144100 is about 521.8867602260.

Adding to 142144100 its reverse (1441241), we get a palindrome (143585341).

The spelling of 142144100 in words is "one hundred forty-two million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 29009 58018 116036 145045 203063 290090 406126 580180 725225 812252 1015315 1421441 1450450 2030630 2842882 2900900 4061260 5076575 5685764 7107205 10153150 14214410 20306300 28428820 35536025 71072050 142144100