Search a number
-
+
381083422720 = 21257111329641
BaseRepresentation
bin1011000101110100101…
…01111001000000000000
31100102122100200200022111
411202322111321000000
522220424324011340
6451022312145104
736350413434640
oct5427225710000
91312570620274
10381083422720
11137686725960
1261a34098194
1329c2255bb50
1414631b42520
159da5d3baea
hex58ba579000

381083422720 has 832 divisors, whose sum is σ = 1272165834240. Its totient is φ = 105696460800.

The previous prime is 381083422711. The next prime is 381083422777. The reversal of 381083422720 is 27224380183.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 594513600 + ... + 594514240.

Almost surely, 2381083422720 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 381083422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636082917120).

381083422720 is an abundant number, since it is smaller than the sum of its proper divisors (891082411520).

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

381083422720 is a wasteful number, since it uses less digits than its factorization.

381083422720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 381083422720 in words is "three hundred eighty-one billion, eighty-three million, four hundred twenty-two thousand, seven hundred twenty".