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241536409745 = 5412138120809
BaseRepresentation
bin1110000011110010110…
…0010010000010010001
3212002110002100220221112
43200330230102002101
512424131310102440
6302543231303105
723310332415341
oct3407454220221
9762402326845
10241536409745
1193487008664
123a98a07aa95
1319a137a1317
14b99474cd21
156439c98965
hex383cb12091

241536409745 has 24 divisors (see below), whose sum is σ = 297314883960. Its totient is φ = 188370662400.

The previous prime is 241536409739. The next prime is 241536409757. The reversal of 241536409745 is 547904635142.

It can be written as a sum of positive squares in 12 ways, for example, as 206558433169 + 34977976576 = 454487^2 + 187024^2 .

It is not a de Polignac number, because 241536409745 - 24 = 241536409729 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 241536409693 and 241536409702.

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, 11596901 + ... + 11617709.

It is an arithmetic number, because the mean of its divisors is an integer number (12388120165).

Almost surely, 2241536409745 is an apocalyptic number.

It is an amenable number.

241536409745 is a deficient number, since it is larger than the sum of its proper divisors (55778474215).

241536409745 is a wasteful number, since it uses less digits than its factorization.

241536409745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22277 (or 22236 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 50.

The spelling of 241536409745 in words is "two hundred forty-one billion, five hundred thirty-six million, four hundred nine thousand, seven hundred forty-five".

Divisors: 1 5 41 205 1381 1681 6905 8405 20809 56621 104045 283105 853169 2321461 4265845 11607305 28737229 34979929 143686145 174899645 1178226389 5891131945 48307281949 241536409745