Search a number
-
+
380822400000 = 210325571889
BaseRepresentation
bin1011000101010101100…
…10001010110000000000
31100101222011112100110100
411202222302022300000
522214411013300000
6450540345402400
736341063663520
oct5425262126000
91311864470410
10380822400000
111375623536a9
1261980799400
1329bb045a233
14146091d7680
159d8ce7ba00
hex58aac8ac00

380822400000 has 792 divisors, whose sum is σ = 1571611597920. Its totient is φ = 86999040000.

The previous prime is 380822399987. The next prime is 380822400029. The reversal of 380822400000 is 4228083.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 201599056 + ... + 201600944.

Almost surely, 2380822400000 is an apocalyptic number.

380822400000 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 380822400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785805798960).

380822400000 is an abundant number, since it is smaller than the sum of its proper divisors (1190789197920).

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

380822400000 is an equidigital number, since it uses as much as digits as its factorization.

380822400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 380822400000 its reverse (4228083), we get a palindrome (380826628083).

The spelling of 380822400000 in words is "three hundred eighty billion, eight hundred twenty-two million, four hundred thousand".