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241504113404132 = 22731597858160353
BaseRepresentation
bin110110111010010110001110…
…111001000010100011100100
31011200002120022220021210021122
4312322112032321002203210
5223123300411012413012
62213345242540033112
7101604045031353635
oct6672261671024344
91150076286253248
10241504113404132
116aa50357021157
1223105146b32798
13a49a981219287
14438cc0bb9d88c
151cdc12232be72
hexdba58ee428e4

241504113404132 has 48 divisors (see below), whose sum is σ = 428747009089392. Its totient is φ = 119007500451840.

The previous prime is 241504113404101. The next prime is 241504113404143. The reversal of 241504113404132 is 231404311405142.

241504113404132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 120932601388096 + 120571512016036 = 10996936^2 + 10980506^2 .

It is a super-2 number, since 2×2415041134041322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241504113404092 and 241504113404101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4001496068 + ... + 4001556420.

It is an arithmetic number, because the mean of its divisors is an integer number (8932229356029).

Almost surely, 2241504113404132 is an apocalyptic number.

It is an amenable number.

241504113404132 is a deficient number, since it is larger than the sum of its proper divisors (187242895685260).

241504113404132 is a wasteful number, since it uses less digits than its factorization.

241504113404132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70608 (or 70606 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 241504113404132 its reverse (231404311405142), we get a palindrome (472908424809274).

The spelling of 241504113404132 in words is "two hundred forty-one trillion, five hundred four billion, one hundred thirteen million, four hundred four thousand, one hundred thirty-two".

Divisors: 1 2 4 73 146 292 1597 3194 6388 8581 17162 34324 60353 116581 120706 233162 241412 466324 626413 1252826 2505652 4405769 8811538 13703857 17623076 27407714 54815428 96383741 192767482 385534964 517889093 1000381561 1035778186 2000763122 2071556372 4001526244 7036013093 14072026186 28144052372 37805903789 75611807578 151223615156 827068881521 1654137763042 3308275526084 60376028351033 120752056702066 241504113404132