Search a number
-
+
132142423043200 = 275241294507201
BaseRepresentation
bin11110000010111011001110…
…001011110110110010000000
3122022212200200122221100212211
4132002323032023312302000
5114310010140244340300
61145013220251031504
736555655300124653
oct3602731613666200
9568780618840784
10132142423043200
1139117317953399
12129a210613b594
135896c916a47cb
14248ba27db789a
1510424dad714ba
hex782ece2f6c80

132142423043200 has 48 divisors (see below), whose sum is σ = 326433079431810. Its totient is φ = 52856969216000.

The previous prime is 132142423043119. The next prime is 132142423043219. The reversal of 132142423043200 is 2340324241231.

It can be written as a sum of positive squares in 3 ways, for example, as 102328114821696 + 29814308221504 = 10115736^2 + 5460248^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20647250401 + ... + 20647256800.

Almost surely, 2132142423043200 is an apocalyptic number.

132142423043200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132142423043200 is an abundant number, since it is smaller than the sum of its proper divisors (194290656388610).

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

132142423043200 is an equidigital number, since it uses as much as digits as its factorization.

132142423043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41294507225 (or 41294507208 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 132142423043200 its reverse (2340324241231), we get a palindrome (134482747284431).

The spelling of 132142423043200 in words is "one hundred thirty-two trillion, one hundred forty-two billion, four hundred twenty-three million, forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 41294507201 82589014402 165178028804 206472536005 330356057608 412945072010 660712115216 825890144020 1032362680025 1321424230432 1651780288040 2064725360050 2642848460864 3303560576080 4129450720100 5285696921728 6607121152160 8258901440200 13214242304320 16517802880400 26428484608640 33035605760800 66071211521600 132142423043200