Search a number
-
+
142200110243232 = 2532493750382789
BaseRepresentation
bin100000010101010010001011…
…000011101101110110100000
3200122111012100011211000100100
4200111102023003231312200
5122114301311210240412
61222233455005022400
741644422202555026
oct4025221303556640
9618435304730310
10142200110243232
11413448010a0638
1213b47401254a00
13614654a082c02
142718744758716
151168e40467edc
hex81548b0edda0

142200110243232 has 36 divisors (see below), whose sum is σ = 404381563505010. Its totient is φ = 47400036747648.

The previous prime is 142200110243231. The next prime is 142200110243249. The reversal of 142200110243232 is 232342011002241.

142200110243232 is a `hidden beast` number, since 1 + 4 + 2 + 200 + 110 + 24 + 323 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105024701400336 + 37175408842896 = 10248156^2 + 6097164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 142200110243196 and 142200110243205.

It is not an unprimeable number, because it can be changed into a prime (142200110243231) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 246875191107 + ... + 246875191682.

Almost surely, 2142200110243232 is an apocalyptic number.

142200110243232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142200110243232 is an abundant number, since it is smaller than the sum of its proper divisors (262181453261778).

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

142200110243232 is a wasteful number, since it uses less digits than its factorization.

142200110243232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493750382805 (or 493750382794 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 142200110243232 its reverse (232342011002241), we get a palindrome (374542121245473).

The spelling of 142200110243232 in words is "one hundred forty-two trillion, two hundred billion, one hundred ten million, two hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 493750382789 987500765578 1481251148367 1975001531156 2962502296734 3950003062312 4443753445101 5925004593468 7900006124624 8887506890202 11850009186936 15800012249248 17775013780404 23700018373872 35550027560808 47400036747744 71100055121616 142200110243232