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240552210053241 = 3312796497270421
BaseRepresentation
bin110110101100011111101101…
…000001111011100001111001
31011112201120022010012021212000
4312230133231001323201321
5223012201411233200431
62211340054255411213
7101445216004363452
oct6654375501734171
91145646263167760
10240552210053241
116a71368a434649
1222b90768523b09
13a42bc8c585628
144358b0938a129
151cc24ad2d99e6
hexdac7ed07b879

240552210053241 has 32 divisors (see below), whose sum is σ = 359217010176000. Its totient is φ = 159088887578880.

The previous prime is 240552210053219. The next prime is 240552210053251. The reversal of 240552210053241 is 142350012255042.

240552210053241 is a `hidden beast` number, since 2 + 4 + 0 + 5 + 522 + 100 + 5 + 3 + 24 + 1 = 666.

It is not a de Polignac number, because 240552210053241 - 235 = 240517850314873 is a prime.

It is a super-2 number, since 2×2405522100532412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240552210053196 and 240552210053205.

It is not an unprimeable number, because it can be changed into a prime (240552210053251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29451211 + ... + 36721631.

It is an arithmetic number, because the mean of its divisors is an integer number (11225531568000).

Almost surely, 2240552210053241 is an apocalyptic number.

It is an amenable number.

240552210053241 is a deficient number, since it is larger than the sum of its proper divisors (118664800122759).

240552210053241 is a wasteful number, since it uses less digits than its factorization.

240552210053241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7280206 (or 7280200 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 240552210053241 in words is "two hundred forty trillion, five hundred fifty-two billion, two hundred ten million, fifty-three thousand, two hundred forty-one".

Divisors: 1 3 9 27 127 381 1143 3429 9649 28947 86841 260523 1225423 3676269 7270421 11028807 21811263 33086421 65433789 196301367 923343467 2770030401 8310091203 24930273609 70152292229 210456876687 631370630061 1894111890183 8909341113083 26728023339249 80184070017747 240552210053241