Search a number
-
+
38871040000 = 216541373
BaseRepresentation
bin100100001100111001…
…010000000000000000
310201022222201102112011
4210030321100000000
51114101441240000
625505045142304
72544155250142
oct441471200000
9121288642464
1038871040000
1115537763751
1276499ba994
1338862020b0
141c4a690c92
1510278302ba
hex90ce50000

38871040000 has 340 divisors, whose sum is σ = 106051643236. Its totient is φ = 14155776000.

The previous prime is 38871039983. The next prime is 38871040001. The reversal of 38871040000 is 4017883.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 34542452736 + 4328587264 = 185856^2 + 65792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38871040001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 532479964 + ... + 532480036.

Almost surely, 238871040000 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 38871040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53025821618).

38871040000 is an abundant number, since it is smaller than the sum of its proper divisors (67180603236).

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

38871040000 is an frugal number, since it uses more digits than its factorization.

38871040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

Adding to 38871040000 its reverse (4017883), we get a palindrome (38875057883).

The spelling of 38871040000 in words is "thirty-eight billion, eight hundred seventy-one million, forty thousand".