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142032132020 = 2258778097613
BaseRepresentation
bin1000010001000111000…
…1100101011110110100
3111120121110111212211002
42010101301211132310
54311340211211040
6145125413302432
713155455126312
oct2042161453664
9446543455732
10142032132020
1155265487a99
122363a334a18
13105168a988c
146c3548d0b2
153a6432ea15
hex2111c657b4

142032132020 has 24 divisors (see below), whose sum is σ = 298607613864. Its totient is φ = 56748064896.

The previous prime is 142032131993. The next prime is 142032132041. The reversal of 142032132020 is 20231230241.

It can be written as a sum of positive squares in 4 ways, for example, as 13343484196 + 128688647824 = 115514^2 + 358732^2 .

It is a super-2 number, since 2×1420321320202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 142032131983 and 142032132001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4031267 + ... + 4066346.

It is an arithmetic number, because the mean of its divisors is an integer number (12441983911).

Almost surely, 2142032132020 is an apocalyptic number.

142032132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142032132020 is an abundant number, since it is smaller than the sum of its proper divisors (156575481844).

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

142032132020 is a wasteful number, since it uses less digits than its factorization.

142032132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8098499 (or 8098497 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 142032132020 its reverse (20231230241), we get a palindrome (162263362261).

The spelling of 142032132020 in words is "one hundred forty-two billion, thirty-two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 877 1754 3508 4385 8770 17540 8097613 16195226 32390452 40488065 80976130 161952260 7101606601 14203213202 28406426404 35508033005 71016066010 142032132020