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241010214411040 = 25511489131109221
BaseRepresentation
bin110110110011001010010000…
…001101111001101100100000
31011121100100111020012100010221
4312303022100031321230200
5223042202404342123130
62212330321454332424
7101523261534240364
oct6663122015715440
91147310436170127
10241010214411040
116a87a948a03528
12230454891ba114
13a463220071179
144372d56d5d2a4
151cce36713487a
hexdb3290379b20

241010214411040 has 48 divisors (see below), whose sum is σ = 569436195174840. Its totient is φ = 96395694039040.

The previous prime is 241010214411007. The next prime is 241010214411091. The reversal of 241010214411040 is 40114412010142.

It can be written as a sum of positive squares in 4 ways, for example, as 177688153520784 + 63322060890256 = 13329972^2 + 7957516^2 .

It is a junction number, because it is equal to n+sod(n) for n = 241010214410996 and 241010214411014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63716371 + ... + 67392850.

Almost surely, 2241010214411040 is an apocalyptic number.

241010214411040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241010214411040 is an abundant number, since it is smaller than the sum of its proper divisors (328425980763800).

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

241010214411040 is a wasteful number, since it uses less digits than its factorization.

241010214411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131120725 (or 131120717 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 241010214411040 its reverse (40114412010142), we get a palindrome (281124626421182).

The spelling of 241010214411040 in words is "two hundred forty-one trillion, ten billion, two hundred fourteen million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 11489 22978 45956 57445 91912 114890 183824 229780 367648 459560 919120 1838240 131109221 262218442 524436884 655546105 1048873768 1311092210 2097747536 2622184420 4195495072 5244368840 10488737680 20977475360 1506313840069 3012627680138 6025255360276 7531569200345 12050510720552 15063138400690 24101021441104 30126276801380 48202042882208 60252553602760 120505107205520 241010214411040