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3141123232 = 251321813209
BaseRepresentation
bin1011101100111001…
…1011110010100000
322002220120121000111
42323032123302200
522413111420412
61235405101104
7140561051452
oct27316336240
98086517014
103141123232
11137209a415
12737b57794
133b09c5c00
1421b2602d2
15135b6d2a7
hexbb39bca0

3141123232 has 72 divisors (see below), whose sum is σ = 6735472380. Its totient is φ = 1441290240.

The previous prime is 3141123217. The next prime is 3141123241. The reversal of 3141123232 is 2323211413.

It can be written as a sum of positive squares in 6 ways, for example, as 23464336 + 3117658896 = 4844^2 + 55836^2 .

It is a super-2 number, since 2×31411232322 = 19733310317220251648, which contains 22 as substring.

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, 977244 + ... + 980452.

Almost surely, 23141123232 is an apocalyptic number.

3141123232 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 3141123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367736190).

3141123232 is an abundant number, since it is smaller than the sum of its proper divisors (3594349148).

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

3141123232 is a wasteful number, since it uses less digits than its factorization.

3141123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3405 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 3141123232 is about 56045.7244756458. The cubic root of 3141123232 is about 1464.5189367397.

Adding to 3141123232 its reverse (2323211413), we get a palindrome (5464334645).

The spelling of 3141123232 in words is "three billion, one hundred forty-one million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 181 208 338 362 416 676 724 1352 1448 2353 2704 2896 3209 4706 5408 5792 6418 9412 12836 18824 25672 30589 37648 41717 51344 61178 75296 83434 102688 122356 166868 244712 333736 489424 542321 580829 667472 978848 1084642 1161658 1334944 2169284 2323316 4338568 4646632 7550777 8677136 9293264 15101554 17354272 18586528 30203108 60406216 98160101 120812432 196320202 241624864 392640404 785280808 1570561616 3141123232