Search a number
-
+
244260814464 = 27331132392617
BaseRepresentation
bin1110001101111100010…
…1000011111010000000
3212100110221211000122000
43203133011003322000
513000221232030324
6304113432544000
723435003444262
oct3433705037200
9770427730560
10244260814464
1194654953207
123b40a552000
131a059051014
14bb724d5b32
15654904e9c9
hex38df143e80

244260814464 has 256 divisors, whose sum is σ = 730610496000. Its totient is φ = 80331374592.

The previous prime is 244260814439. The next prime is 244260814507. The reversal of 244260814464 is 464418062442.

244260814464 is a `hidden beast` number, since 2 + 442 + 6 + 0 + 8 + 144 + 64 = 666.

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, 93334884 + ... + 93337500.

It is an arithmetic number, because the mean of its divisors is an integer number (2853947250).

Almost surely, 2244260814464 is an apocalyptic number.

244260814464 is a gapful number since it is divisible by the number (24) 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 244260814464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365305248000).

244260814464 is an abundant number, since it is smaller than the sum of its proper divisors (486349681536).

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

244260814464 is a wasteful number, since it uses less digits than its factorization.

244260814464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 244260814464 in words is "two hundred forty-four billion, two hundred sixty million, eight hundred fourteen thousand, four hundred sixty-four".