Search a number
-
+
244124020140 = 22357211132920023
BaseRepresentation
bin1110001101011011101…
…1001110110110101100
3212100010102102011002120
43203112323032312230
512444431222121030
6304052104552540
723431422635100
oct3432673166654
9770112364076
10244124020140
1194594710650
123b390782750
131a0368c6b30
14bb5c287900
15653c02d010
hex38d6ecedac

244124020140 has 576 divisors, whose sum is σ = 966419112960. Its totient is φ = 45208074240.

The previous prime is 244124020139. The next prime is 244124020157. The reversal of 244124020140 is 41020421442.

It is a self number, because there is not a number n which added to its sum of digits gives 244124020140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12182169 + ... + 12202191.

It is an arithmetic number, because the mean of its divisors is an integer number (1677810960).

Almost surely, 2244124020140 is an apocalyptic number.

244124020140 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 244124020140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483209556480).

244124020140 is an abundant number, since it is smaller than the sum of its proper divisors (722295092820).

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

244124020140 is a wasteful number, since it uses less digits than its factorization.

244124020140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20102 (or 20093 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 244124020140 its reverse (41020421442), we get a palindrome (285144441582).

The spelling of 244124020140 in words is "two hundred forty-four billion, one hundred twenty-four million, twenty thousand, one hundred forty".