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34287181710941 = 611180147630281
BaseRepresentation
bin1111100101111000110110…
…10010010100011001011101
311111101211012122102221020202
413302330123102110121131
513443230122004222231
6200531151441553245
710136111216562605
oct762743322243135
9144354178387222
1034287181710941
11aa1a1262356a5
123a19103945825
131619362517453
14867719283c05
153e6d4ce365cb
hex1f2f1b49465d

34287181710941 has 8 divisors (see below), whose sum is σ = 34852220466168. Its totient is φ = 33722238240000.

The previous prime is 34287181710911. The next prime is 34287181710949. The reversal of 34287181710941 is 14901718178243.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6323444505316 + 27963737205625 = 2514646^2 + 5288075^2 .

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 34287181710941 - 238 = 34012303803997 is a prime.

It is a super-2 number, since 2×342871817109412 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34287181710949) 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, 23095280 + ... + 24535001.

It is an arithmetic number, because the mean of its divisors is an integer number (4356527558271).

Almost surely, 234287181710941 is an apocalyptic number.

It is an amenable number.

34287181710941 is a deficient number, since it is larger than the sum of its proper divisors (565038755227).

34287181710941 is a wasteful number, since it uses less digits than its factorization.

34287181710941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47642143.

The product of its (nonzero) digits is 2709504, while the sum is 56.

The spelling of 34287181710941 in words is "thirty-four trillion, two hundred eighty-seven billion, one hundred eighty-one million, seven hundred ten thousand, nine hundred forty-one".

Divisors: 1 61 11801 719861 47630281 2905447141 562084946081 34287181710941