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325417042440 = 2332571944915137
BaseRepresentation
bin1001011110001000101…
…11100000001000001000
31011002221212120120020100
410233010113200020020
520312423230324230
6405254452325400
732340065136030
oct4570427401010
91132855516210
10325417042440
111160104894a6
1253099613860
13248c08928a9
1411a70a488c0
1586e8cae660
hex4bc45e0208

325417042440 has 384 divisors, whose sum is σ = 1275225120000. Its totient is φ = 70304661504.

The previous prime is 325417042427. The next prime is 325417042501. The reversal of 325417042440 is 44240714523.

325417042440 is a `hidden beast` number, since 3 + 2 + 5 + 4 + 170 + 42 + 440 = 666.

It is a super-2 number, since 2×3254170424402 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 325417042395 and 325417042404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21490552 + ... + 21505688.

It is an arithmetic number, because the mean of its divisors is an integer number (3320898750).

Almost surely, 2325417042440 is an apocalyptic number.

325417042440 is a gapful number since it is divisible by the number (30) 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 325417042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637612560000).

325417042440 is an abundant number, since it is smaller than the sum of its proper divisors (949808077560).

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

325417042440 is a wasteful number, since it uses less digits than its factorization.

325417042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15629 (or 15622 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 325417042440 its reverse (44240714523), we get a palindrome (369657756963).

The spelling of 325417042440 in words is "three hundred twenty-five billion, four hundred seventeen million, forty-two thousand, four hundred forty".