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35141153152041 = 327353487295513
BaseRepresentation
bin1111111110101111011111…
…11100110101110000101001
311121102110110101100221212100
413333113233330311300221
514101223040201331131
6202423342313404013
710254602351220066
oct777275774656051
9147373411327770
1035141153152041
111021930890a972
123b36711109609
13167ba47c66191
14896bab577c6d
1540e17e5a17e6
hex1ff5eff35c29

35141153152041 has 12 divisors (see below), whose sum is σ = 51454778284468. Its totient is φ = 23106511661184.

The previous prime is 35141153152003. The next prime is 35141153152043. The reversal of 35141153152041 is 14025135114153.

35141153152041 is a `hidden beast` number, since 3 + 5 + 1 + 41 + 1 + 53 + 1 + 520 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12606156765225 + 22534996386816 = 3550515^2 + 4747104^2 .

It is not a de Polignac number, because 35141153152041 - 234 = 35123973282857 is a prime.

It is a super-2 number, since 2×351411531520412 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35141153151987 and 35141153152005.

It is not an unprimeable number, because it can be changed into a prime (35141153152043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26743647100 + ... + 26743648413.

Almost surely, 235141153152041 is an apocalyptic number.

It is an amenable number.

35141153152041 is a deficient number, since it is larger than the sum of its proper divisors (16313625132427).

35141153152041 is a wasteful number, since it uses less digits than its factorization.

35141153152041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53487295592 (or 53487295589 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 35141153152041 its reverse (14025135114153), we get a palindrome (49166288266194).

The spelling of 35141153152041 in words is "thirty-five trillion, one hundred forty-one billion, one hundred fifty-three million, one hundred fifty-two thousand, forty-one".

Divisors: 1 3 9 73 219 657 53487295513 160461886539 481385659617 3904572572449 11713717717347 35141153152041