Search a number
-
+
3141610020 = 223252329137191
BaseRepresentation
bin1011101101000001…
…0010101000100100
322002221111022202200
42323100102220210
522413223010040
61235423334500
7140565146613
oct27320225044
98087438680
103141610020
1113723a211a
12738151430
133b0b36653
1421b34987a
15135c17630
hexbb412a24

3141610020 has 288 divisors, whose sum is σ = 10416107520. Its totient is φ = 764037120.

The previous prime is 3141610001. The next prime is 3141610051. The reversal of 3141610020 is 200161413.

It is a happy number.

3141610020 is a `hidden beast` number, since 31 + 4 + 1 + 610 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3141609975 and 3141610002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16448125 + ... + 16448315.

It is an arithmetic number, because the mean of its divisors is an integer number (36167040).

Almost surely, 23141610020 is an apocalyptic number.

3141610020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141610020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208053760).

3141610020 is an abundant number, since it is smaller than the sum of its proper divisors (7274497500).

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

3141610020 is a wasteful number, since it uses less digits than its factorization.

3141610020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3141610020 is about 56050.0670829215. The cubic root of 3141610020 is about 1464.5945862624.

Adding to 3141610020 its reverse (200161413), we get a palindrome (3341771433).

The spelling of 3141610020 in words is "three billion, one hundred forty-one million, six hundred ten thousand, twenty".