Search a number
-
+
320132331400 = 235273147156943
BaseRepresentation
bin1001010100010010101…
…11111011011110001000
31010121022120110102112211
410222021113323132020
520221112334101100
6403022230514504
732062114630150
oct4521127733610
91117276412484
10320132331400
1111384939a912
1252063805a34
132425aa5a23b
14116ccc33760
1584d9d691ba
hex4a895fb788

320132331400 has 192 divisors, whose sum is σ = 896765460480. Its totient is φ = 103958380800.

The previous prime is 320132331373. The next prime is 320132331479. The reversal of 320132331400 is 4133231023.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1961329 + ... + 2118271.

It is an arithmetic number, because the mean of its divisors is an integer number (4670653440).

Almost surely, 2320132331400 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 320132331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448382730240).

320132331400 is an abundant number, since it is smaller than the sum of its proper divisors (576633129080).

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

320132331400 is a wasteful number, since it uses less digits than its factorization.

320132331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157044 (or 157035 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 320132331400 its reverse (4133231023), we get a palindrome (324265562423).

The spelling of 320132331400 in words is "three hundred twenty billion, one hundred thirty-two million, three hundred thirty-one thousand, four hundred".