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241343324001 = 321334915973701
BaseRepresentation
bin1110000011000100101…
…1101101111101100001
3212001221122001011002200
43200301023231331201
512423232342332001
6302512133003413
723302466256213
oct3406113557541
9761848034080
10241343324001
119339801846a
123a935483569
13199b27981c0
14b976c4a5b3
156427d58086
hex38312edf61

241343324001 has 48 divisors (see below), whose sum is σ = 376836205200. Its totient is φ = 147960691200.

The previous prime is 241343323993. The next prime is 241343324039. The reversal of 241343324001 is 100423343142.

241343324001 is a `hidden beast` number, since 2 + 413 + 4 + 3 + 3 + 240 + 0 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18823565601 + 222519758400 = 137199^2 + 471720^2 .

It is not a de Polignac number, because 241343324001 - 23 = 241343323993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (241343324041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65208451 + ... + 65212151.

It is an arithmetic number, because the mean of its divisors is an integer number (7850754275).

Almost surely, 2241343324001 is an apocalyptic number.

It is an amenable number.

241343324001 is a deficient number, since it is larger than the sum of its proper divisors (135492881199).

241343324001 is a wasteful number, since it uses less digits than its factorization.

241343324001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666 (or 5663 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 241343324001 its reverse (100423343142), we get a palindrome (341766667143).

The spelling of 241343324001 in words is "two hundred forty-one billion, three hundred forty-three million, three hundred twenty-four thousand, one".

Divisors: 1 3 9 13 39 117 349 1047 1597 3141 3701 4537 4791 11103 13611 14373 20761 33309 40833 48113 62283 144339 186849 433017 557353 1291649 1672059 3874947 5016177 5910497 7245589 11624841 16791437 17731491 21736767 50374311 53194473 65210301 76836461 151122933 230509383 691528149 2062763453 6188290359 18564871077 26815924889 80447774667 241343324001