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2431313440 = 25523660683
BaseRepresentation
bin1001000011101010…
…1110011000100000
320021102221112000221
42100322232120200
514434404012230
61041131252424
7114151552243
oct22072563040
96242845027
102431313440
11103845a856
1257a2aa114
132c993070a
14190c9125a
15e36ae27a
hex90eae620

2431313440 has 48 divisors (see below), whose sum is σ = 5993725248. Its totient is φ = 930240256.

The previous prime is 2431313413. The next prime is 2431313483. The reversal of 2431313440 is 443131342.

It is a super-2 number, since 2×24313134402 = 11822570087049267200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 326662 + ... + 334021.

It is an arithmetic number, because the mean of its divisors is an integer number (124869276).

Almost surely, 22431313440 is an apocalyptic number.

2431313440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2431313440 is an abundant number, since it is smaller than the sum of its proper divisors (3562411808).

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

2431313440 is a wasteful number, since it uses less digits than its factorization.

2431313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660721 (or 660713 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 2431313440 is about 49308.3506112301. The cubic root of 2431313440 is about 1344.6636048757.

Adding to 2431313440 its reverse (443131342), we get a palindrome (2874444782).

The spelling of 2431313440 in words is "two billion, four hundred thirty-one million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 660683 1321366 2642732 3303415 5285464 6606830 10570928 13213660 15195709 21141856 26427320 30391418 52854640 60782836 75978545 105709280 121565672 151957090 243131344 303914180 486262688 607828360 1215656720 2431313440