Search a number
-
+
244243168109952 = 273112959734571013
BaseRepresentation
bin110111100010001101001011…
…010001100010010110000000
31012000210102022022221122122120
4313202031023101202112000
5224003140002014004302
62223243432404204240
7102305662252252434
oct6742151321422600
91160712268848576
10244243168109952
1170906a44aa0110
1223487b66999680
13a6390551a7c5b
14444560a7749c4
151d384d2dc19bc
hexde234b462580

244243168109952 has 1024 divisors, whose sum is σ = 757162463616000. Its totient is φ = 69067517460480.

The previous prime is 244243168109887. The next prime is 244243168109953. The reversal of 244243168109952 is 259901861342442.

It is a super-2 number, since 2×2442431681099522 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244243168109953) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 241108753798 + ... + 241108754810.

It is an arithmetic number, because the mean of its divisors is an integer number (739416468375).

Almost surely, 2244243168109952 is an apocalyptic number.

244243168109952 is a gapful number since it is divisible by the number (22) 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 244243168109952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378581231808000).

244243168109952 is an abundant number, since it is smaller than the sum of its proper divisors (512919295506048).

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

244243168109952 is a wasteful number, since it uses less digits than its factorization.

244243168109952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 244243168109952 in words is "two hundred forty-four trillion, two hundred forty-three billion, one hundred sixty-eight million, one hundred nine thousand, nine hundred fifty-two".