Search a number
-
+
12104160144400 = 245230260400361
BaseRepresentation
bin1011000000100011100000…
…1010100110110000010000
31120212010221201202200022101
42300020320022212300100
53041303304444110100
641424324023250144
72356332241434622
oct260107012466020
946763851680271
1012104160144400
113947388934a75
121435a4a8a9954
1369a55706211c
142dbbb735cc12
1515eccc4b586a
hexb02382a6c10

12104160144400 has 30 divisors (see below), whose sum is σ = 29080244747882. Its totient is φ = 4841664057600.

The previous prime is 12104160144367. The next prime is 12104160144407. The reversal of 12104160144400 is 444106140121.

It can be written as a sum of positive squares in 3 ways, for example, as 2688983395344 + 9415176749056 = 1639812^2 + 3068416^2 .

It is not an unprimeable number, because it can be changed into a prime (12104160144407) 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, 15130199781 + ... + 15130200580.

Almost surely, 212104160144400 is an apocalyptic number.

12104160144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12104160144400 is an abundant number, since it is smaller than the sum of its proper divisors (16976084603482).

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

12104160144400 is a wasteful number, since it uses less digits than its factorization.

12104160144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30260400379 (or 30260400368 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 12104160144400 its reverse (444106140121), we get a palindrome (12548266284521).

The spelling of 12104160144400 in words is "twelve trillion, one hundred four billion, one hundred sixty million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30260400361 60520800722 121041601444 151302001805 242083202888 302604003610 484166405776 605208007220 756510009025 1210416014440 1513020018050 2420832028880 3026040036100 6052080072200 12104160144400