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141515121515141 = 111492232549151897
BaseRepresentation
bin100000001011010100001110…
…100011000101101010000101
3200120001201021010200020110002
4200023110032203011222011
5122022040432101441031
61220551052131211045
741544062430465443
oct4013241643055205
9616051233606402
10141515121515141
1141100253892790
1213a566b3a46a85
1360c6a848aa7aa
1426d3522d6db93
1511561ee19eccb
hex80b50e8c5a85

141515121515141 has 32 divisors (see below), whose sum is σ = 156175447680000. Its totient is φ = 127162907988480.

The previous prime is 141515121515137. The next prime is 141515121515143.

141515121515141 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 141515121515141 - 22 = 141515121515137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 141515121515095 and 141515121515104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141515121515143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 931575905 + ... + 931727801.

It is an arithmetic number, because the mean of its divisors is an integer number (4880482740000).

Almost surely, 2141515121515141 is an apocalyptic number.

141515121515141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

141515121515141 is a deficient number, since it is larger than the sum of its proper divisors (14660326164859).

141515121515141 is a wasteful number, since it uses less digits than its factorization.

141515121515141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154829.

The product of its digits is 20000, while the sum is 38.

The spelling of 141515121515141 in words is "one hundred forty-one trillion, five hundred fifteen billion, one hundred twenty-one million, five hundred fifteen thousand, one hundred forty-one".

Divisors: 1 11 149 223 1639 2453 2549 28039 33227 151897 365497 379801 568427 1670867 4177811 6252697 22632653 33873031 84695623 248959183 372603341 387185453 931651853 4259039983 5047081619 55517897809 57690632497 86342356019 634596957467 949765916209 12865011046831 141515121515141