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241432343240 = 2351110110495179
BaseRepresentation
bin1110000011011001111…
…1010011001011001000
3212002011211112210112112
43200312133103023020
512423423134440430
6302525033001452
723304630025424
oct3406637231310
9762154483475
10241432343240
1193433299990
123a95b253288
13199c80658ca
14b9849bdb84
156430a8e195
hex38367d32c8

241432343240 has 128 divisors (see below), whose sum is σ = 599160240000. Its totient is φ = 86824704000.

The previous prime is 241432343237. The next prime is 241432343261. The reversal of 241432343240 is 42343234142.

241432343240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 241432343197 and 241432343206.

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 31 ways as a sum of consecutive naturals, for example, 46614971 + ... + 46620149.

It is an arithmetic number, because the mean of its divisors is an integer number (4680939375).

Almost surely, 2241432343240 is an apocalyptic number.

241432343240 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 241432343240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299580120000).

241432343240 is an abundant number, since it is smaller than the sum of its proper divisors (357727896760).

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

241432343240 is a wasteful number, since it uses less digits than its factorization.

241432343240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6351 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 241432343240 its reverse (42343234142), we get a palindrome (283775577382).

The spelling of 241432343240 in words is "two hundred forty-one billion, four hundred thirty-two million, three hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1049 1111 2020 2098 2222 4040 4196 4444 5179 5245 5555 8392 8888 10358 10490 11110 11539 20716 20980 22220 23078 25895 41432 41960 44440 46156 51790 56969 57695 92312 103580 105949 113938 115390 207160 211898 227876 230780 284845 423796 455752 461560 523079 529745 569690 847592 1046158 1059490 1139380 1165439 2092316 2118980 2278760 2330878 2615395 4184632 4237960 4661756 5230790 5432771 5753869 5827195 9323512 10461580 10865542 11507738 11654390 20923160 21731084 23015476 23308780 27163855 28769345 43462168 46030952 46617560 54327710 57538690 59760481 108655420 115077380 119520962 217310840 230154760 239041924 298802405 478083848 548709871 597604810 1097419742 1195209620 2194839484 2390419240 2743549355 4389678968 5487098710 6035808581 10974197420 12071617162 21948394840 24143234324 30179042905 48286468648 60358085810 120716171620 241432343240