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241411411044 = 22336773301759
BaseRepresentation
bin1110000011010100111…
…1011100110001100100
3212002010101011022222000
43200311033130301210
512423402310123134
6302523004205300
723304254064546
oct3406517346144
9762111138860
10241411411044
11934224a2251
123a954239830
13199c39170ab
14b981cd1696
15642dd06e99
hex38353dcc64

241411411044 has 48 divisors (see below), whose sum is σ = 626806118400. Its totient is φ = 80351582688.

The previous prime is 241411411037. The next prime is 241411411051. The reversal of 241411411044 is 440114114142.

241411411044 is a `hidden beast` number, since 2 + 414 + 1 + 141 + 104 + 4 = 666.

241411411044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (241411411037) and next prime (241411411051).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 241411410999 and 241411411017.

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 15 ways as a sum of consecutive naturals, for example, 1577764 + ... + 1723995.

It is an arithmetic number, because the mean of its divisors is an integer number (13058460800).

Almost surely, 2241411411044 is an apocalyptic number.

It is an amenable number.

241411411044 is an abundant number, since it is smaller than the sum of its proper divisors (385394707356).

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

241411411044 is a wasteful number, since it uses less digits than its factorization.

241411411044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302449 (or 3302441 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 241411411044 its reverse (440114114142), we get a palindrome (681525525186).

The spelling of 241411411044 in words is "two hundred forty-one billion, four hundred eleven million, four hundred eleven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 677 1354 2031 2708 4062 6093 8124 12186 18279 24372 36558 73116 3301759 6603518 9905277 13207036 19810554 29715831 39621108 59431662 89147493 118863324 178294986 356589972 2235290843 4470581686 6705872529 8941163372 13411745058 20117617587 26823490116 40235235174 60352852761 80470470348 120705705522 241411411044