Search a number
-
+
320023003132000 = 2553761331915843
BaseRepresentation
bin100100011000011110010100…
…1011010111111000001100000
31112222002220022022212021101201
41020300330221122333001200
5313421224102300211000
63052344312115210544
7124256620231064530
oct11060745132770140
91488086268767351
10320023003132000
1192a72aa2316053
122ba867282a6a54
131097506930345c
1459052a5b594c0
1526ee7ece2296a
hex1230f296bf060

320023003132000 has 384 divisors, whose sum is σ = 900526704150528. Its totient is φ = 109490109696000.

The previous prime is 320023003131917. The next prime is 320023003132057. The reversal of 320023003132000 is 231300320023.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54770321079 + ... + 54770326921.

It is an arithmetic number, because the mean of its divisors is an integer number (2345121625392).

Almost surely, 2320023003132000 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 320023003132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450263352075264).

320023003132000 is an abundant number, since it is smaller than the sum of its proper divisors (580503701018528).

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

320023003132000 is a wasteful number, since it uses less digits than its factorization.

320023003132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9679 (or 9661 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 320023003132000 its reverse (231300320023), we get a palindrome (320254303452023).

The spelling of 320023003132000 in words is "three hundred twenty trillion, twenty-three billion, three million, one hundred thirty-two thousand".