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3141421504 = 261324115667
BaseRepresentation
bin1011101100111110…
…0100100111000000
322002221010202011121
42323033210213000
522413200442004
61235415322024
7140563433164
oct27317444700
98087122147
103141421504
111372283521
12738080314
133b0a9b8c0
1421b2daca4
15135bcb854
hexbb3e49c0

3141421504 has 56 divisors (see below), whose sum is σ = 6741564368. Its totient is φ = 1443778560.

The previous prime is 3141421457. The next prime is 3141421523. The reversal of 3141421504 is 4051241413.

3141421504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192679 + ... + 208345.

It is an arithmetic number, because the mean of its divisors is an integer number (120385078).

Almost surely, 23141421504 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 3141421504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370782184).

3141421504 is an abundant number, since it is smaller than the sum of its proper divisors (3600142864).

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

3141421504 is a wasteful number, since it uses less digits than its factorization.

3141421504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15933 (or 15923 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 3141421504 is about 56048.3853826317. The cubic root of 3141421504 is about 1464.5652907702.

Adding to 3141421504 its reverse (4051241413), we get a palindrome (7192662917).

The spelling of 3141421504 in words is "three billion, one hundred forty-one million, four hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 241 416 482 832 964 1928 3133 3856 6266 7712 12532 15424 15667 25064 31334 50128 62668 100256 125336 200512 203671 250672 407342 501344 814684 1002688 1629368 3258736 3775747 6517472 7551494 13034944 15102988 30205976 49084711 60411952 98169422 120823904 196338844 241647808 392677688 785355376 1570710752 3141421504