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334020131433 = 3348012576779
BaseRepresentation
bin1001101110001010010…
…01101011101001101001
31011221011102210202201000
410313011021223221221
520433033123201213
6413240254345213
733063221162112
oct4670511535151
91157142722630
10334020131433
111197257245aa
125489a7bb209
13256620435b1
1412249461209
158a4e1d7c73
hex4dc526ba69

334020131433 has 16 divisors (see below), whose sum is σ = 494947902400. Its totient is φ = 222633619200.

The previous prime is 334020131411. The next prime is 334020131437. The reversal of 334020131433 is 334131020433.

334020131433 is a `hidden beast` number, since 3 + 340 + 2 + 0 + 1 + 314 + 3 + 3 = 666.

It is not a de Polignac number, because 334020131433 - 26 = 334020131369 is a prime.

It is a super-3 number, since 3×3340201314333 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 334020131397 and 334020131406.

It is not an unprimeable number, because it can be changed into a prime (334020131437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1158763 + ... + 1418016.

It is an arithmetic number, because the mean of its divisors is an integer number (30934243900).

Almost surely, 2334020131433 is an apocalyptic number.

It is an amenable number.

334020131433 is a deficient number, since it is larger than the sum of its proper divisors (160927770967).

334020131433 is a wasteful number, since it uses less digits than its factorization.

334020131433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581589 (or 2581583 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 334020131433 its reverse (334131020433), we get a palindrome (668151151866).

The spelling of 334020131433 in words is "three hundred thirty-four billion, twenty million, one hundred thirty-one thousand, four hundred thirty-three".

Divisors: 1 3 9 27 4801 14403 43209 129627 2576779 7730337 23191011 69573033 12371115979 37113347937 111340043811 334020131433