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241334140032 = 2732209491441
BaseRepresentation
bin1110000011000010100…
…0101011110010000000
3212001220222202120001200
43200300220223302000
512423223014440112
6302511204101200
723302325225616
oct3406050536200
9761828676050
10241334140032
1193392915407
123a932394800
13199b0900bbb
14b9759396b6
156427141cdc
hex3830a2bc80

241334140032 has 48 divisors (see below), whose sum is σ = 694464130230. Its totient is φ = 80444712960.

The previous prime is 241334139989. The next prime is 241334140121. The reversal of 241334140032 is 230041433142.

241334140032 is a `hidden beast` number, since 241 + 3 + 3 + 414 + 0 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 223789548096 + 17544591936 = 473064^2 + 132456^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2413341400322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241334139978 and 241334140005.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104744569 + ... + 104746872.

Almost surely, 2241334140032 is an apocalyptic number.

It is an amenable number.

241334140032 is an abundant number, since it is smaller than the sum of its proper divisors (453129990198).

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

241334140032 is a wasteful number, since it uses less digits than its factorization.

241334140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209491461 (or 209491446 counting only the distinct ones).

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

Adding to 241334140032 its reverse (230041433142), we get a palindrome (471375573174).

The spelling of 241334140032 in words is "two hundred forty-one billion, three hundred thirty-four million, one hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 209491441 418982882 628474323 837965764 1256948646 1675931528 1885422969 2513897292 3351863056 3770845938 5027794584 6703726112 7541691876 10055589168 13407452224 15083383752 20111178336 26814904448 30166767504 40222356672 60333535008 80444713344 120667070016 241334140032