Search a number
-
+
141204233310400 = 2652131713916717203
BaseRepresentation
bin100000000110110010101100…
…001010101101000011000000
3200111221222210210200002201201
4200012302230022231003000
5122001442232211413100
61220152155042110544
741512445351400001
oct4006625412550300
9614858723602651
10141204233310400
1140aa0419576077
1213a063b004b454
1360a366b067ab0
1426c246db3d1a8
15114d0a5b8636a
hex806cac2ad0c0

141204233310400 has 672 divisors, whose sum is σ = 401451150481920. Its totient is φ = 48422512558080.

The previous prime is 141204233310391. The next prime is 141204233310421. The reversal of 141204233310400 is 4013332402141.

It is a happy 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 95 ways as a sum of consecutive naturals, for example, 8208108199 + ... + 8208125401.

It is an arithmetic number, because the mean of its divisors is an integer number (597397545360).

Almost surely, 2141204233310400 is an apocalyptic number.

141204233310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141204233310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200725575240960).

141204233310400 is an abundant number, since it is smaller than the sum of its proper divisors (260246917171520).

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

141204233310400 is a wasteful number, since it uses less digits than its factorization.

141204233310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17561 (or 17546 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 141204233310400 its reverse (4013332402141), we get a palindrome (145217565712541).

The spelling of 141204233310400 in words is "one hundred forty-one trillion, two hundred four billion, two hundred thirty-three million, three hundred ten thousand, four hundred".