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241141440 = 26352391051
BaseRepresentation
bin11100101111110…
…00011011000000
3121210202020212110
432113320123000
5443213011230
635532255320
75655445161
oct1627703300
9553666773
10241141440
11114133151
1268911540
133ac60557
1424051768
15162844b0
hexe5f86c0

241141440 has 112 divisors (see below), whose sum is σ = 769559040. Its totient is φ = 63974400.

The previous prime is 241141427. The next prime is 241141441. The reversal of 241141440 is 44141142.

241141440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (241141441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228915 + ... + 229965.

Almost surely, 2241141440 is an apocalyptic number.

241141440 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 241141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384779520).

241141440 is an abundant number, since it is smaller than the sum of its proper divisors (528417600).

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

241141440 is a wasteful number, since it uses less digits than its factorization.

241141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 241141440 is about 15528.7295037295. The cubic root of 241141440 is about 622.4301432876.

Adding to 241141440 its reverse (44141142), we get a palindrome (285282582).

The spelling of 241141440 in words is "two hundred forty-one million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 239 240 320 478 480 717 956 960 1051 1195 1434 1912 2102 2390 2868 3153 3585 3824 4204 4780 5255 5736 6306 7170 7648 8408 9560 10510 11472 12612 14340 15296 15765 16816 19120 21020 22944 25224 28680 31530 33632 38240 42040 45888 50448 57360 63060 67264 76480 84080 100896 114720 126120 168160 201792 229440 251189 252240 336320 502378 504480 753567 1004756 1008960 1255945 1507134 2009512 2511890 3014268 3767835 4019024 5023780 6028536 7535670 8038048 10047560 12057072 15071340 16076096 20095120 24114144 30142680 40190240 48228288 60285360 80380480 120570720 241141440