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241704642744 = 233237389233239
BaseRepresentation
bin1110000100011010111…
…0000010100010111000
3212002212210221001020100
43201012232002202320
512430002342031434
6303012041155400
723314444364505
oct3410656024270
9762783831210
10241704642744
1193562a735a4
123aa1648bb60
1319a3c5b5286
14b9acc224ac
15644992a699
hex3846b828b8

241704642744 has 96 divisors (see below), whose sum is σ = 674040276000. Its totient is φ = 78188841216.

The previous prime is 241704642709. The next prime is 241704642761. The reversal of 241704642744 is 447246407142.

It is a super-2 number, since 2×2417046427442 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 241704642744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 919677 + ... + 1152915.

It is an arithmetic number, because the mean of its divisors is an integer number (7021252875).

Almost surely, 2241704642744 is an apocalyptic number.

241704642744 is a gapful number since it is divisible by the number (24) 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 241704642744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337020138000).

241704642744 is an abundant number, since it is smaller than the sum of its proper divisors (432335633256).

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

241704642744 is a wasteful number, since it uses less digits than its factorization.

241704642744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233677 (or 233670 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

The spelling of 241704642744 in words is "two hundred forty-one billion, seven hundred four million, six hundred forty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 389 444 666 778 888 1167 1332 1556 2334 2664 3112 3501 4668 7002 9336 14004 14393 28008 28786 43179 57572 86358 115144 129537 172716 233239 259074 345432 466478 518148 699717 932956 1036296 1399434 1865912 2099151 2798868 4198302 5597736 8396604 8629843 16793208 17259686 25889529 34519372 51779058 69038744 77668587 90729971 103558116 155337174 181459942 207116232 272189913 310674348 362919884 544379826 621348696 725839768 816569739 1088759652 1633139478 2177519304 3266278956 3357008927 6532557912 6714017854 10071026781 13428035708 20142053562 26856071416 30213080343 40284107124 60426160686 80568214248 120852321372 241704642744