Search a number
-
+
3141355104 = 253210907483
BaseRepresentation
bin1011101100111101…
…0100011001100000
322002221000101002100
42323033110121200
522413141330404
61235414050400
7140563035456
oct27317243140
98087011070
103141355104
111372238648
12738049a00
133b0a77604
1421b2c09d6
15135bb6d39
hexbb3d4660

3141355104 has 36 divisors (see below), whose sum is σ = 8933229396. Its totient is φ = 1047118272.

The previous prime is 3141355057. The next prime is 3141355117. The reversal of 3141355104 is 4015531413.

It is a happy number.

3141355104 is a `hidden beast` number, since 3 + 14 + 135 + 510 + 4 = 666.

3141355104 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×31413551042 = 19736223778853701632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5453454 + ... + 5454029.

It is an arithmetic number, because the mean of its divisors is an integer number (248145261).

Almost surely, 23141355104 is an apocalyptic number.

It is an amenable number.

3141355104 is an abundant number, since it is smaller than the sum of its proper divisors (5791874292).

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

3141355104 is a wasteful number, since it uses less digits than its factorization.

3141355104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10907499 (or 10907488 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 3141355104 is about 56047.7930341597. The cubic root of 3141355104 is about 1464.5549718938.

Adding to 3141355104 its reverse (4015531413), we get a palindrome (7156886517).

The spelling of 3141355104 in words is "three billion, one hundred forty-one million, three hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 10907483 21814966 32722449 43629932 65444898 87259864 98167347 130889796 174519728 196334694 261779592 349039456 392669388 523559184 785338776 1047118368 1570677552 3141355104