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132144031400 = 2352660720157
BaseRepresentation
bin111101100010001100…
…1011110011010101000
3110122002100022022210012
41323010121132122220
54131112333001100
6140412305111052
712355436506523
oct1730431363250
9418070268705
10132144031400
1151050951707
122173a928488
13c5cc13b174
146578137bba
1536861c7135
hex1ec465e6a8

132144031400 has 24 divisors (see below), whose sum is σ = 307234873470. Its totient is φ = 52857612480.

The previous prime is 132144031363. The next prime is 132144031427. The reversal of 132144031400 is 4130441231.

It can be written as a sum of positive squares in 3 ways, for example, as 114716335204 + 17427696196 = 338698^2 + 132014^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 330359879 + ... + 330360278.

Almost surely, 2132144031400 is an apocalyptic number.

132144031400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132144031400 is an abundant number, since it is smaller than the sum of its proper divisors (175090842070).

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

132144031400 is a wasteful number, since it uses less digits than its factorization.

132144031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660720173 (or 660720164 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 132144031400 its reverse (4130441231), we get a palindrome (136274472631).

The spelling of 132144031400 in words is "one hundred thirty-two billion, one hundred forty-four million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 660720157 1321440314 2642880628 3303600785 5285761256 6607201570 13214403140 16518003925 26428806280 33036007850 66072015700 132144031400