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241411114340 = 225117157127067
BaseRepresentation
bin1110000011010100111…
…0010100010101100100
3212002010100121020221222
43200311032110111210
512423402221124330
6302522553555512
723304251420534
oct3406516242544
9762110536858
10241411114340
119342230a340
123a954115b98
13199c3842026
14b981c554c4
15642dc990e5
hex3835394564

241411114340 has 96 divisors (see below), whose sum is σ = 561843330048. Its totient is φ = 86394672000.

The previous prime is 241411114339. The next prime is 241411114349. The reversal of 241411114340 is 43411114142.

It is a happy number.

It is a super-2 number, since 2×2414111143402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (241411114349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8905487 + ... + 8932553.

It is an arithmetic number, because the mean of its divisors is an integer number (5852534688).

Almost surely, 2241411114340 is an apocalyptic number.

241411114340 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 241411114340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280921665024).

241411114340 is an abundant number, since it is smaller than the sum of its proper divisors (320432215708).

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

241411114340 is a wasteful number, since it uses less digits than its factorization.

241411114340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27729 (or 27727 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 241411114340 its reverse (43411114142), we get a palindrome (284822228482).

The spelling of 241411114340 in words is "two hundred forty-one billion, four hundred eleven million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 571 710 781 1142 1420 1562 2284 2855 3124 3905 5710 6281 7810 11420 12562 15620 25124 27067 31405 40541 54134 62810 81082 108268 125620 135335 162164 202705 270670 297737 405410 445951 541340 595474 810820 891902 1190948 1488685 1783804 1921757 2229755 2977370 3843514 4459510 5954740 7687028 8919020 9608785 15455257 19217570 21139327 30910514 38435140 42278654 61821028 77276285 84557308 105696635 154552570 170007827 211393270 309105140 340015654 422786540 680031308 850039135 1097323247 1700078270 2194646494 3400156540 4389292988 5486616235 10973232470 12070555717 21946464940 24141111434 48282222868 60352778585 120705557170 241411114340