Search a number
-
+
411532140113424 = 24341132749881471
BaseRepresentation
bin101110110010010010100101…
…1000001100110111000010000
31222222010002101102102102210000
41131210211023001212320100
5412420020310332112144
64015131131044010000
7152453134033351041
oct13544451301467020
91888102342372700
10411532140113424
1110a143889522a10
123a1a5829090900
1314882411678b65
14738a39477a8c8
153289d66d82769
hex176494b066e10

411532140113424 has 200 divisors, whose sum is σ = 1299415778496000. Its totient is φ = 124702759699200.

The previous prime is 411532140113359. The next prime is 411532140113477. The reversal of 411532140113424 is 424311041235114.

411532140113424 is a `hidden beast` number, since 4 + 1 + 1 + 5 + 3 + 214 + 0 + 1 + 13 + 424 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 466429009 + ... + 467310479.

It is an arithmetic number, because the mean of its divisors is an integer number (6497078892480).

Almost surely, 2411532140113424 is an apocalyptic number.

411532140113424 is a gapful number since it is divisible by the number (44) 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 411532140113424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649707889248000).

411532140113424 is an abundant number, since it is smaller than the sum of its proper divisors (887883638382576).

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

411532140113424 is a wasteful number, since it uses less digits than its factorization.

411532140113424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914251 (or 914236 counting only the distinct ones).

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

Adding to 411532140113424 its reverse (424311041235114), we get a palindrome (835843181348538).

The spelling of 411532140113424 in words is "four hundred eleven trillion, five hundred thirty-two billion, one hundred forty million, one hundred thirteen thousand, four hundred twenty-four".