Search a number
-
+
3141325124 = 2272294191319
BaseRepresentation
bin1011101100111100…
…1101000101000100
322002220221211221222
42323033031011010
522413134400444
61235413255512
7140562552200
oct27317150504
98086854858
103141325124
111372218073
12738034598
133b0a66a82
1421b2b3b00
15135baceee
hexbb3cd144

3141325124 has 72 divisors (see below), whose sum is σ = 6636168000. Its totient is φ = 1295773248.

The previous prime is 3141325097. The next prime is 3141325147. The reversal of 3141325124 is 4215231413.

It is a happy number.

3141325124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×31413251243 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3141325093 and 3141325102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2380937 + ... + 2382255.

It is an arithmetic number, because the mean of its divisors is an integer number (92169000).

Almost surely, 23141325124 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 3141325124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318084000).

3141325124 is an abundant number, since it is smaller than the sum of its proper divisors (3494842876).

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

3141325124 is a wasteful number, since it uses less digits than its factorization.

3141325124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1776 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 3141325124 is about 56047.5255832048. The cubic root of 3141325124 is about 1464.5503128113.

Adding to 3141325124 its reverse (4215231413), we get a palindrome (7356556537).

The spelling of 3141325124 in words is "three billion, one hundred forty-one million, three hundred twenty-five thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 419 812 838 1319 1421 1676 2638 2842 2933 5276 5684 5866 9233 11732 12151 18466 20531 24302 36932 38251 41062 48604 64631 76502 82124 85057 129262 153004 170114 258524 267757 340228 535514 552661 595399 1071028 1105322 1190798 1874299 2210644 2381596 3748598 3868627 7497196 7737254 15474508 16027169 27080389 32054338 54160778 64108676 108321556 112190183 224380366 448760732 785331281 1570662562 3141325124