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3141304140 = 2235134439091
BaseRepresentation
bin1011101100111100…
…0111111101001100
322002220220210011210
42323033013331030
522413133213030
61235413014420
7140562434052
oct27317077514
98086823153
103141304140
111372203327
12738024410
133b0a5a360
1421b2aa1d2
15135ba6bb0
hexbb3c7f4c

3141304140 has 96 divisors (see below), whose sum is σ = 9494666496. Its totient is φ = 771413760.

The previous prime is 3141304139. The next prime is 3141304147. The reversal of 3141304140 is 414031413.

It is a super-2 number, since 2×31413041402 = 19735583399962279200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3141304147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340995 + ... + 350085.

It is an arithmetic number, because the mean of its divisors is an integer number (98902776).

Almost surely, 23141304140 is an apocalyptic number.

3141304140 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 3141304140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747333248).

3141304140 is an abundant number, since it is smaller than the sum of its proper divisors (6353362356).

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

3141304140 is a wasteful number, since it uses less digits than its factorization.

3141304140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9559 (or 9557 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3141304140 is about 56047.3383846191. The cubic root of 3141304140 is about 1464.5470517467.

Adding to 3141304140 its reverse (414031413), we get a palindrome (3555335553).

The spelling of 3141304140 in words is "three billion, one hundred forty-one million, three hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 443 780 886 1329 1772 2215 2658 4430 5316 5759 6645 8860 9091 11518 13290 17277 18182 23036 26580 27273 28795 34554 36364 45455 54546 57590 69108 86385 90910 109092 115180 118183 136365 172770 181820 236366 272730 345540 354549 472732 545460 590915 709098 1181830 1418196 1772745 2363660 3545490 4027313 7090980 8054626 12081939 16109252 20136565 24163878 40273130 48327756 52355069 60409695 80546260 104710138 120819390 157065207 209420276 241638780 261775345 314130414 523550690 628260828 785326035 1047101380 1570652070 3141304140