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241316440273240 = 23571373703932363
BaseRepresentation
bin110110110111100111011100…
…101100110111000101011000
31011122102121220122011221020221
4312313213130230313011120
5223112212032202220430
62213123124153325424
7101554352231151553
oct6667473454670530
91148377818157227
10241316440273240
116a988800478192
12230948ab706874
13a4860729a95b7
144383ac6ca569a
151cd72db19357a
hexdb79dcb37158

241316440273240 has 128 divisors (see below), whose sum is σ = 552181001011200. Its totient is φ = 94895491299840.

The previous prime is 241316440273217. The next prime is 241316440273243. The reversal of 241316440273240 is 42372044613142.

It is a super-2 number, since 2×2413164402732402 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241316440273243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7456537299 + ... + 7456569661.

It is an arithmetic number, because the mean of its divisors is an integer number (4313914070400).

Almost surely, 2241316440273240 is an apocalyptic number.

241316440273240 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 241316440273240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276090500505600).

241316440273240 is an abundant number, since it is smaller than the sum of its proper divisors (310864560737960).

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

241316440273240 is a wasteful number, since it uses less digits than its factorization.

241316440273240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39857 (or 39853 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 43.

Adding to 241316440273240 its reverse (42372044613142), we get a palindrome (283688484886382).

The spelling of 241316440273240 in words is "two hundred forty-one trillion, three hundred sixteen billion, four hundred forty million, two hundred seventy-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 373 568 710 746 1420 1492 1865 2840 2984 3730 7039 7460 14078 14920 26483 28156 32363 35195 52966 56312 64726 70390 105932 129452 132415 140780 161815 211864 258904 264830 281560 323630 499769 529660 647260 999538 1059320 1294520 1999076 2297773 2498845 2625547 3998152 4595546 4997690 5251094 9191092 9995380 10502188 11488865 12071399 13127735 18382184 19990760 21004376 22977730 24142798 26255470 45955460 48285596 52510940 60356995 91910920 96571192 105021880 120713990 186413837 227803157 241427980 372827674 455606314 482855960 745655348 857069329 911212628 932069185 1139015785 1491310696 1714138658 1822425256 1864138370 2278031570 3428277316 3728276740 4285346645 4556063140 6856554632 7456553480 8570693290 9112126280 16174024147 17141386580 32348048294 34282773160 64696096588 80870120735 84970577561 129392193176 161740241470 169941155122 323480482940 339882310244 424852887805 646960965880 679764620488 849705775610 1699411551220 3398823102440 6032911006831 12065822013662 24131644027324 30164555034155 48263288054648 60329110068310 120658220136620 241316440273240