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3134346142041 = 3217371374041413
BaseRepresentation
bin101101100111000101100…
…101101010000101011001
3102002122021222020102010200
4231213011211222011121
5402323120103021131
610355522043332413
7442310006423352
oct55470545520531
912078258212120
103134346142041
11aa92a5759734
1242755a221109
1319974bc5b2ca
14ab9bb69ad29
15567e8e032e6
hex2d9c596a159

3134346142041 has 48 divisors (see below), whose sum is σ = 4959202953744. Its totient is φ = 1899528302592.

The previous prime is 3134346142027. The next prime is 3134346142049. The reversal of 3134346142041 is 1402416434313.

3134346142041 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 34 + 614 + 2 + 0 + 4 + 1 = 666.

3134346142041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 831224241225 + 2303121900816 = 911715^2 + 1517604^2 .

It is not a de Polignac number, because 3134346142041 - 26 = 3134346141977 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3134346141987 and 3134346142005.

It is not an unprimeable number, because it can be changed into a prime (3134346142049) 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, 1245150 + ... + 2796263.

It is an arithmetic number, because the mean of its divisors is an integer number (103316728203).

Almost surely, 23134346142041 is an apocalyptic number.

It is an amenable number.

3134346142041 is a deficient number, since it is larger than the sum of its proper divisors (1824856811703).

3134346142041 is a wasteful number, since it uses less digits than its factorization.

3134346142041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041610 (or 4041607 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 3134346142041 in words is "three trillion, one hundred thirty-four billion, three hundred forty-six million, one hundred forty-two thousand, forty-one".

Divisors: 1 3 9 17 37 51 111 137 153 333 411 629 1233 1887 2329 5069 5661 6987 15207 20961 45621 86173 258519 775557 4041413 12124239 36372717 68704021 149532281 206112063 448596843 553673581 618336189 1345790529 1661020743 2542048777 4983062229 7626146331 9412450877 20485922497 22878438993 28237352631 61457767491 84712057893 184373302473 348260682449 1044782047347 3134346142041