Search a number
-
+
244700838144 = 28327229312411
BaseRepresentation
bin1110001111100101001…
…1100111100100000000
3212101121121210112122100
43203321103213210000
513002121403310034
6304225232110400
723451625543200
oct3437123474400
9771547715570
10244700838144
1194860275544
123b511995400
131a0c9266b69
14bbb4b18400
1565729bc099
hex38f94e7900

244700838144 has 648 divisors, whose sum is σ = 876773963520. Its totient is φ = 65299046400.

The previous prime is 244700838143. The next prime is 244700838227. The reversal of 244700838144 is 441838007442.

244700838144 is a `hidden beast` number, since 2 + 4 + 470 + 0 + 8 + 38 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 244700838144.

It is not an unprimeable number, because it can be changed into a prime (244700838143) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101492299 + ... + 101494709.

It is an arithmetic number, because the mean of its divisors is an integer number (1353046240).

Almost surely, 2244700838144 is an apocalyptic number.

244700838144 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 244700838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438386981760).

244700838144 is an abundant number, since it is smaller than the sum of its proper divisors (632073125376).

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

244700838144 is a wasteful number, since it uses less digits than its factorization.

244700838144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 244700838144 in words is "two hundred forty-four billion, seven hundred million, eight hundred thirty-eight thousand, one hundred forty-four".