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3143242423413 = 321012293116849
BaseRepresentation
bin101101101111010111110…
…110010001110001110101
3102010111020222011022221100
4231233113312101301311
5402444330030022123
610403552521440313
7443043322523631
oct55572766216165
912114228138840
103143242423413
111002050449594
12429221640099
1319a539095321
14ac1c2dd3dc1
1556b69e43643
hex2dbd7d91c75

3143242423413 has 36 divisors (see below), whose sum is σ = 4601327012100. Its totient is φ = 2067648729600.

The previous prime is 3143242423367. The next prime is 3143242423423.

3143242423413 is a `hidden beast` number, since 31 + 4 + 3 + 242 + 42 + 341 + 3 = 666.

3143242423413 is nontrivially palindromic in base 10.

3143242423413 is digitally balanced in base 3, 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 6 ways, for example, as 2376108180369 + 767134243044 = 1541463^2 + 875862^2 .

It is not a de Polignac number, because 3143242423413 - 210 = 3143242422389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3143242423423) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26841613 + ... + 26958461.

It is an arithmetic number, because the mean of its divisors is an integer number (127814639225).

Almost surely, 23143242423413 is an apocalyptic number.

It is an amenable number.

3143242423413 is a deficient number, since it is larger than the sum of its proper divisors (1458084588687).

3143242423413 is a wasteful number, since it uses less digits than its factorization.

3143242423413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117350 (or 117246 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 3143242423413 in words is "three trillion, one hundred forty-three billion, two hundred forty-two million, four hundred twenty-three thousand, four hundred thirteen".

Divisors: 1 3 9 101 293 303 879 909 2637 10201 29593 30603 88779 91809 116849 266337 350547 1051641 2988893 8966679 11801749 26900037 34236757 35405247 102710271 106215741 308130813 1191976649 3457912457 3575929947 10373737371 10727789841 31121212113 349249158157 1047747474471 3143242423413