Search a number
-
+
141410335248 = 2438713113131
BaseRepresentation
bin1000001110110010110…
…1100111101000010000
3111112000010111100000000
42003230231213220100
54304102021211443
6144544002130000
713134165005610
oct2035455475020
9445003440000
10141410335248
1154a764a1966
12234a6050900
1310447b1bab0
146bb6a70a40
153a299588d3
hex20ecb67a10

141410335248 has 720 divisors, whose sum is σ = 514159341696. Its totient is φ = 36682813440.

The previous prime is 141410335223. The next prime is 141410335259. The reversal of 141410335248 is 842533014141.

141410335248 is a `hidden beast` number, since 1 + 41 + 41 + 0 + 335 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 143 ways as a sum of consecutive naturals, for example, 1079468143 + ... + 1079468273.

Almost surely, 2141410335248 is an apocalyptic number.

141410335248 is a gapful number since it is divisible by the number (18) 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 141410335248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257079670848).

141410335248 is an abundant number, since it is smaller than the sum of its proper divisors (372749006448).

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

141410335248 is a wasteful number, since it uses less digits than its factorization.

141410335248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 141410335248 its reverse (842533014141), we get a palindrome (983943349389).

The spelling of 141410335248 in words is "one hundred forty-one billion, four hundred ten million, three hundred thirty-five thousand, two hundred forty-eight".