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1413130313141 = 19315346397771
BaseRepresentation
bin10100100100000101001…
…000010101110110110101
312000002112110222210221222
4110210011020111312311
5141123042330010031
63001103314520125
7204044454321251
oct24440510256665
95002473883858
101413130313141
114a533a248958
121a9a5a596045
13a3346ca3a31
144c5783b7261
1526b5ac52e7b
hex14905215db5

1413130313141 has 32 divisors (see below), whose sum is σ = 1567856148480. Its totient is φ = 1268366299200.

The previous prime is 1413130313113. The next prime is 1413130313167.

1413130313141 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1413130313141 - 238 = 1138252406197 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1413130313141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413130318141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14404586 + ... + 14502356.

It is an arithmetic number, because the mean of its divisors is an integer number (48995504640).

Almost surely, 21413130313141 is an apocalyptic number.

It is an amenable number.

1413130313141 is a deficient number, since it is larger than the sum of its proper divisors (154725835339).

1413130313141 is a wasteful number, since it uses less digits than its factorization.

1413130313141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98337.

The product of its (nonzero) digits is 1296, while the sum is 26.

It can be divided in two parts, 1413130 and 313141, that added together give a palindrome (1726271).

The spelling of 1413130313141 in words is "one trillion, four hundred thirteen billion, one hundred thirty million, three hundred thirteen thousand, one hundred forty-one".

Divisors: 1 19 31 53 463 589 1007 1643 8797 14353 24539 31217 97771 272707 466241 760709 1857649 3030901 5181863 14453471 45267973 57587119 98455397 160637753 860091487 1403307163 2399202569 3052117307 26662836097 45584848811 74375279639 1413130313141