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241411340000 = 255419635293
BaseRepresentation
bin1110000011010100111…
…1001011011011100000
3212002010101000201111202
43200311033023123200
512423402300340000
6302523002500332
723304253350455
oct3406517133340
9762111021452
10241411340000
1193422453936
123a9542046a8
13199c38c095c
14b981cb382c
15642dce0dd5
hex38353cb6e0

241411340000 has 120 divisors (see below), whose sum is σ = 625167413640. Its totient is φ = 91482048000.

The previous prime is 241411339957. The next prime is 241411340017. The reversal of 241411340000 is 43114142.

241411340000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62354 + ... + 697646.

It is an arithmetic number, because the mean of its divisors is an integer number (5209728447).

Almost surely, 2241411340000 is an apocalyptic number.

241411340000 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 241411340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312583706820).

241411340000 is an abundant number, since it is smaller than the sum of its proper divisors (383756073640).

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

241411340000 is an equidigital number, since it uses as much as digits as its factorization.

241411340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635342 (or 635319 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 241411340000 its reverse (43114142), we get a palindrome (241454454142).

The spelling of 241411340000 in words is "two hundred forty-one billion, four hundred eleven million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 625 760 800 950 1000 1250 1520 1900 2000 2375 2500 3040 3800 4000 4750 5000 7600 9500 10000 11875 15200 19000 20000 23750 38000 47500 76000 95000 190000 380000 635293 1270586 2541172 3176465 5082344 6352930 10164688 12070567 12705860 15882325 20329376 24141134 25411720 31764650 48282268 50823440 60352835 63529300 79411625 96564536 101646880 120705670 127058600 158823250 193129072 241411340 254117200 301764175 317646500 386258144 397058125 482822680 508234400 603528350 635293000 794116250 965645360 1207056700 1270586000 1508820875 1588232500 1931290720 2414113400 2541172000 3017641750 3176465000 4828226800 6035283500 6352930000 7544104375 9656453600 12070567000 12705860000 15088208750 24141134000 30176417500 48282268000 60352835000 120705670000 241411340000