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3143411424 = 253231334871
BaseRepresentation
bin1011101101011100…
…1010011011100000
322010001212211211100
42323113022123200
522414203131144
61235530114400
7140616361536
oct27327123340
98101784740
103143411424
11137341258a
1273887ba00
133b131757a
1421b698156
15135e71269
hexbb5ca6e0

3143411424 has 72 divisors (see below), whose sum is σ = 8967892752. Its totient is φ = 1044426240.

The previous prime is 3143411423. The next prime is 3143411431. The reversal of 3143411424 is 4241143413.

3143411424 is a `hidden beast` number, since 314 + 341 + 1 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3143411423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72709 + ... + 107579.

It is an arithmetic number, because the mean of its divisors is an integer number (124554066).

Almost surely, 23143411424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3143411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483946376).

3143411424 is an abundant number, since it is smaller than the sum of its proper divisors (5824481328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3143411424 is a wasteful number, since it uses less digits than its factorization.

3143411424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35200 (or 35189 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 3143411424 is about 56066.1343771800. The cubic root of 3143411424 is about 1464.8744663681.

Adding to 3143411424 its reverse (4241143413), we get a palindrome (7384554837).

The spelling of 3143411424 in words is "three billion, one hundred forty-three million, four hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 313 626 939 1252 1878 2504 2817 3756 5008 5634 7512 10016 11268 15024 22536 30048 34871 45072 69742 90144 104613 139484 209226 278968 313839 418452 557936 627678 836904 1115872 1255356 1673808 2510712 3347616 5021424 10042848 10914623 21829246 32743869 43658492 65487738 87316984 98231607 130975476 174633968 196463214 261950952 349267936 392926428 523901904 785852856 1047803808 1571705712 3143411424