Search a number
-
+
244128599040 = 21035431133271
BaseRepresentation
bin1110001101011100110…
…0101100110000000000
3212100010202000210011110
43203113030230300000
512444433410132130
6304052351043320
723431506565464
oct3432714546000
9770122023143
10244128599040
1194597258867
123b392210540
131a03783b041
14bb5cb1a4a4
15653c634ab0
hex38d732cc00

244128599040 has 352 divisors, whose sum is σ = 806306029056. Its totient is φ = 63004999680.

The previous prime is 244128599023. The next prime is 244128599089. The reversal of 244128599040 is 40995821442.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74632605 + ... + 74635875.

It is an arithmetic number, because the mean of its divisors is an integer number (2290642128).

Almost surely, 2244128599040 is an apocalyptic number.

244128599040 is a gapful number since it is divisible by the number (20) 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 244128599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403153014528).

244128599040 is an abundant number, since it is smaller than the sum of its proper divisors (562177430016).

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

244128599040 is a wasteful number, since it uses less digits than its factorization.

244128599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3455 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 244128599040 in words is "two hundred forty-four billion, one hundred twenty-eight million, five hundred ninety-nine thousand, forty".