Search a number
-
+
244504370880 = 26345721123743
BaseRepresentation
bin1110001110110110011…
…0001001111011000000
3212101002221002222020000
43203231212021323000
513001221104332010
6304153533120000
723444021601300
oct3435546117300
9771087088200
10244504370880
119476a385800
123b478029000
131a097648843
14bb969b5600
15656060e7c0
hex38ed989ec0

244504370880 has 2520 divisors, whose sum is σ = 1168700181264. Its totient is φ = 48283361280.

The previous prime is 244504370857. The next prime is 244504370911. The reversal of 244504370880 is 88073405442.

It is a happy number.

244504370880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5686148139 + ... + 5686148181.

Almost surely, 2244504370880 is an apocalyptic number.

244504370880 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 244504370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584350090632).

244504370880 is an abundant number, since it is smaller than the sum of its proper divisors (924195810384).

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

244504370880 is a wasteful number, since it uses less digits than its factorization.

244504370880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 244504370880 in words is "two hundred forty-four billion, five hundred four million, three hundred seventy thousand, eight hundred eighty".