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241241244201140 = 225507720297117053
BaseRepresentation
bin110110110110100001011010…
…101010100111000010110100
31011122011102211002111200110112
4312312201122222213002310
5223104444032003414030
62213024410404442152
7101546050631116631
oct6666413252470264
91148142732450415
10241241244201140
116a959923229257
12230822046a9358
13a47bc4abc2b91
1443801d214d188
151cd53897eaa95
hexdb685aaa70b4

241241244201140 has 48 divisors (see below), whose sum is σ = 506735691133392. Its totient is φ = 96471913614336.

The previous prime is 241241244201137. The next prime is 241241244201173. The reversal of 241241244201140 is 41102442142142.

It is a happy number.

241241244201140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 48187670926756 + 193053573274384 = 6941734^2 + 13894372^2 .

It is a junction number, because it is equal to n+sod(n) for n = 241241244201097 and 241241244201106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2060898854 + ... + 2061015906.

It is an arithmetic number, because the mean of its divisors is an integer number (10556993565279).

Almost surely, 2241241244201140 is an apocalyptic number.

241241244201140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241241244201140 is an abundant number, since it is smaller than the sum of its proper divisors (265494446932252).

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

241241244201140 is a wasteful number, since it uses less digits than its factorization.

241241244201140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142436 (or 142434 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 241241244201140 its reverse (41102442142142), we get a palindrome (282343686343282).

The spelling of 241241244201140 in words is "two hundred forty-one trillion, two hundred forty-one billion, two hundred forty-four million, two hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 5077 10154 20297 20308 25385 40594 50770 81188 101485 101540 117053 202970 234106 405940 468212 585265 1170530 2341060 103047869 206095738 412191476 515239345 594278081 1030478690 1188556162 2060957380 2375824741 2377112324 2971390405 4751649482 5942780810 9503298964 11879123705 11885561620 23758247410 47516494820 12062062210057 24124124420114 48248248840228 60310311050285 120620622100570 241241244201140