Search a number
-
+
241223311112040 = 233252923105681141
BaseRepresentation
bin110110110110010000101101…
…110001010011011101101000
31011122002201112022020100221100
4312312100231301103131220
5223104200320121041130
62213012243112241400
7101544544344304215
oct6666205561233550
91148081468210840
10241223311112040
116a952260497a64
122307a83a9a0260
13a47a3507bc05a
14437d3b057cb0c
151cd4b8a25cc60
hexdb642dc53768

241223311112040 has 96 divisors (see below), whose sum is σ = 811009408084200. Its totient is φ = 62108070904320.

The previous prime is 241223311112033. The next prime is 241223311112093. The reversal of 241223311112040 is 40211113322142.

241223311112040 is a `hidden beast` number, since 2 + 4 + 1 + 223 + 311 + 1 + 120 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 211590247084164 + 29633064027876 = 14546142^2 + 5443626^2 .

It is a junction number, because it is equal to n+sod(n) for n = 241223311111995 and 241223311112013.

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, 11552830131 + ... + 11552851010.

Almost surely, 2241223311112040 is an apocalyptic number.

241223311112040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241223311112040 is an abundant number, since it is smaller than the sum of its proper divisors (569786096972160).

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

241223311112040 is a wasteful number, since it uses less digits than its factorization.

241223311112040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23105681187 (or 23105681180 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 241223311112040 its reverse (40211113322142), we get a palindrome (281434424434182).

The spelling of 241223311112040 in words is "two hundred forty-one trillion, two hundred twenty-three billion, three hundred eleven million, one hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440 23105681141 46211362282 69317043423 92422724564 115528405705 138634086846 184845449128 207951130269 231056811410 277268173692 346585217115 415902260538 462113622820 554536347384 670064753089 693170434230 831804521076 924227245640 1039755651345 1340129506178 1386340868460 1663609042152 2010194259267 2079511302690 2680259012356 2772681736920 3350323765445 4020388518534 4159022605380 5360518024712 6030582777801 6700647530890 8040777037068 8318045210760 10050971296335 12061165555602 13401295061780 16081554074136 20101942592670 24122331111204 26802590123560 30152913889005 40203885185340 48244662222408 60305827778010 80407770370680 120611655556020 241223311112040