Search a number
-
+
332041344341000 = 235372916726933637
BaseRepresentation
bin100101101111111010110011…
…0011000010101010000001000
31121112122211202012011022222012
41023133311212120111100020
5322010131133122403000
63134105404321115052
7126640124022603560
oct11337654630252010
91545584665138865
10332041344341000
1196886a41642718
12312a7a06488a88
131133749781c318
145bdcc5b5c3da0
15285c25614a735
hex12dfd66615408

332041344341000 has 512 divisors, whose sum is σ = 924691077273600. Its totient is φ = 109188346982400.

The previous prime is 332041344340991. The next prime is 332041344341033. The reversal of 332041344341000 is 143443140233.

It is a super-2 number, since 2×3320413443410002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91295391182 + ... + 91295394818.

It is an arithmetic number, because the mean of its divisors is an integer number (1806037260300).

Almost surely, 2332041344341000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332041344341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462345538636800).

332041344341000 is an abundant number, since it is smaller than the sum of its proper divisors (592649732932600).

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

332041344341000 is a wasteful number, since it uses less digits than its factorization.

332041344341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6554 (or 6540 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 332041344341000 its reverse (143443140233), we get a palindrome (332184787481233).

The spelling of 332041344341000 in words is "three hundred thirty-two trillion, forty-one billion, three hundred forty-four million, three hundred forty-one thousand".