Search a number
-
+
244053927936 = 2113571317317
BaseRepresentation
bin1110001101001010111…
…1110110100000000000
3212022221112112002200000
43203102233312200000
512444310301143221
6304041122400000
723426612105460
oct3432257664000
9768845462600
10244053927936
1194559097305
123b371200000
131a025225360
14bb52c3dba0
156535cd4e26
hex38d2bf6800

244053927936 has 1152 divisors, whose sum is σ = 955592951040. Its totient is φ = 60388540416.

The previous prime is 244053927911. The next prime is 244053927937. The reversal of 244053927936 is 639729350442.

244053927936 is a `hidden beast` number, since 2 + 4 + 4 + 0 + 539 + 2 + 79 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244053927937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 769886050 + ... + 769886366.

It is an arithmetic number, because the mean of its divisors is an integer number (829507770).

Almost surely, 2244053927936 is an apocalyptic number.

244053927936 is a gapful number since it is divisible by the number (26) 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 244053927936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477796475520).

244053927936 is an abundant number, since it is smaller than the sum of its proper divisors (711539023104).

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

244053927936 is a wasteful number, since it uses less digits than its factorization.

244053927936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 244053927936 in words is "two hundred forty-four billion, fifty-three million, nine hundred twenty-seven thousand, nine hundred thirty-six".