Search a number
-
+
3141241312 = 251125315307
BaseRepresentation
bin1011101100111011…
…1000100111100000
322002220210120222211
42323032320213200
522413124210222
61235411411504
7140562052636
oct27316704740
98086716884
103141241312
111372170100
12737bb3b94
133b0a37891
1421b291356
15135b93277
hexbb3b89e0

3141241312 has 72 divisors (see below), whose sum is σ = 6926349528. Its totient is φ = 1400805120.

The previous prime is 3141241309. The next prime is 3141241321. The reversal of 3141241312 is 2131421413.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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, 197563 + ... + 212869.

It is an arithmetic number, because the mean of its divisors is an integer number (96199299).

Almost surely, 23141241312 is an apocalyptic number.

3141241312 is a gapful number since it is divisible by the number (32) 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 3141241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463174764).

3141241312 is an abundant number, since it is smaller than the sum of its proper divisors (3785108216).

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

3141241312 is a wasteful number, since it uses less digits than its factorization.

3141241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15392 (or 15373 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 3141241312 is about 56046.7778913293. Note that the first 3 decimals coincide. The cubic root of 3141241312 is about 1464.5372877367.

Adding to 3141241312 its reverse (2131421413), we get a palindrome (5272662725).

The spelling of 3141241312 in words is "three billion, one hundred forty-one million, two hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 121 176 212 242 352 424 484 583 848 968 1166 1696 1936 2332 3872 4664 6413 9328 12826 15307 18656 25652 30614 51304 61228 102608 122456 168377 205216 244912 336754 489824 673508 811271 1347016 1622542 1852147 2694032 3245084 3704294 5388064 6490168 7408588 8923981 12980336 14817176 17847962 25960672 29634352 35695924 59268704 71391848 98163791 142783696 196327582 285567392 392655164 785310328 1570620656 3141241312