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13706241141 = 331280352579
BaseRepresentation
bin11001100001111010…
…01010010001110101
31022101012201012011210
430300331022101311
5211032244204031
610144020152033
7663440061465
oct146075122165
938335635153
1013706241141
1158a38a791a
1227a6238619
1313a57b7a78
14940489ba5
15553458746
hex330f4a475

13706241141 has 16 divisors (see below), whose sum is σ = 18871592960. Its totient is φ = 8839413360.

The previous prime is 13706241103. The next prime is 13706241151. The reversal of 13706241141 is 14114260731.

13706241141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13706241141 - 222 = 13702046837 is a prime.

It is a super-2 number, since 2×137062411412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13706241099 and 13706241108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13706241151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234390 + ... + 286968.

It is an arithmetic number, because the mean of its divisors is an integer number (1179474560).

Almost surely, 213706241141 is an apocalyptic number.

It is an amenable number.

13706241141 is a deficient number, since it is larger than the sum of its proper divisors (5165351819).

13706241141 is a wasteful number, since it uses less digits than its factorization.

13706241141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55416.

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 13706241141 in words is "thirteen billion, seven hundred six million, two hundred forty-one thousand, one hundred forty-one".

Divisors: 1 3 31 93 2803 8409 52579 86893 157737 260679 1629949 4889847 147378937 442136811 4568747047 13706241141