Search a number
-
+
132304131255450 = 235271160127916829
BaseRepresentation
bin11110000101010001110100…
…101111101110110010011010
3122100110011002101110200120010
4132011101310233232302122
5114320132330100133300
61145215402343142350
736603441465215550
oct3605216457566232
9570404071420503
10132304131255450
1139179959a28710
1212a09515a449b6
1358a92c28048bb
1424957a870dbd0
151046802785a50
hex785474beec9a

132304131255450 has 384 divisors, whose sum is σ = 409965000560640. Its totient is φ = 27432172800000.

The previous prime is 132304131255353. The next prime is 132304131255479. The reversal of 132304131255450 is 54552131403231.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132304131255399 and 132304131255408.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19373862636 + ... + 19373869464.

It is an arithmetic number, because the mean of its divisors is an integer number (1067617188960).

Almost surely, 2132304131255450 is an apocalyptic number.

132304131255450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132304131255450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204982500280320).

132304131255450 is an abundant number, since it is smaller than the sum of its proper divisors (277660869305190).

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

132304131255450 is a wasteful number, since it uses less digits than its factorization.

132304131255450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10254 (or 10249 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

Adding to 132304131255450 its reverse (54552131403231), we get a palindrome (186856262658681).

The spelling of 132304131255450 in words is "one hundred thirty-two trillion, three hundred four billion, one hundred thirty-one million, two hundred fifty-five thousand, four hundred fifty".