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2034441020241 = 327292887385709
BaseRepresentation
bin11101100110101110001…
…000100110001101010001
321012111020200200221211100
4131212232020212031101
5231313013400121431
64154335335335013
7266661226226550
oct35465610461521
97174220627740
102034441020241
1171488aa11083
1228a356221469
13119b01a224a6
1470678a4dd97
1537dc19444e6
hex1d9ae226351

2034441020241 has 48 divisors (see below), whose sum is σ = 3475463097600. Its totient is φ = 1122058514304.

The previous prime is 2034441020233. The next prime is 2034441020291. The reversal of 2034441020241 is 1420201444302.

2034441020241 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 4 + 410 + 2 + 0 + 241 = 666.

It is not a de Polignac number, because 2034441020241 - 23 = 2034441020233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2034441020291) 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, 5081695 + ... + 5467403.

It is an arithmetic number, because the mean of its divisors is an integer number (72405481200).

Almost surely, 22034441020241 is an apocalyptic number.

2034441020241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2034441020241 is a deficient number, since it is larger than the sum of its proper divisors (1441022077359).

2034441020241 is a wasteful number, since it uses less digits than its factorization.

2034441020241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388638 (or 388635 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2034441020241 its reverse (1420201444302), we get a palindrome (3454642464543).

The spelling of 2034441020241 in words is "two trillion, thirty-four billion, four hundred forty-one million, twenty thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 1827 2887 8661 20209 25983 60627 83723 181881 251169 385709 586061 753507 1157127 1758183 2699963 3471381 5274549 8099889 11185561 24299667 33556683 78298927 100670049 234896781 704690343 1113541883 3340625649 7794793181 10021876947 23384379543 32292714607 70153138629 96878143821 226049002249 290634431463 678147006747 2034441020241