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3382192156141 = 17296860430337
BaseRepresentation
bin110001001101111010010…
…111001010110111101101
3102222100000210020110002101
4301031322113022313231
5420403212142444031
611105431351455101
7466232605661011
oct61157227126755
912870023213071
103382192156141
11109441a331447
124675a9387491
131b6c299a9916
14b99addac541
155cea2a8e361
hex3137a5caded

3382192156141 has 8 divisors (see below), whose sum is σ = 3704632382520. Its totient is φ = 3073472790528.

The previous prime is 3382192156103. The next prime is 3382192156153. The reversal of 3382192156141 is 1416512912833.

It can be written as a sum of positive squares in 4 ways, for example, as 740023180516 + 2642168975625 = 860246^2 + 1625475^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3382192156141 - 231 = 3380044672493 is a prime.

It is a super-3 number, since 3×33821921561413 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3382192156091 and 3382192156100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382192156241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3430214676 + ... + 3430215661.

It is an arithmetic number, because the mean of its divisors is an integer number (463079047815).

Almost surely, 23382192156141 is an apocalyptic number.

It is an amenable number.

3382192156141 is a deficient number, since it is larger than the sum of its proper divisors (322440226379).

3382192156141 is a wasteful number, since it uses less digits than its factorization.

3382192156141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6860430383.

The product of its digits is 311040, while the sum is 46.

The spelling of 3382192156141 in words is "three trillion, three hundred eighty-two billion, one hundred ninety-two million, one hundred fifty-six thousand, one hundred forty-one".

Divisors: 1 17 29 493 6860430337 116627315729 198952479773 3382192156141