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315140140320 = 2535656541959
BaseRepresentation
bin1001001010111111101…
…00001110110100100000
31010010102122202211210220
410211133310032310200
520130401333442240
6400435014523040
731524315665205
oct4453764166440
91103378684726
10315140140320
11111717436865
12510ab966480
1323943703b15
1411377c05cac
1582e69565d0
hex495fd0ed20

315140140320 has 48 divisors (see below), whose sum is σ = 992691443520. Its totient is φ = 84037370624.

The previous prime is 315140140319. The next prime is 315140140331. The reversal of 315140140320 is 23041041513.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328270500 + ... + 328271459.

It is an arithmetic number, because the mean of its divisors is an integer number (20681071740).

Almost surely, 2315140140320 is an apocalyptic number.

315140140320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315140140320 is an abundant number, since it is smaller than the sum of its proper divisors (677551303200).

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

315140140320 is a wasteful number, since it uses less digits than its factorization.

315140140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656541977 (or 656541969 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 315140140320 its reverse (23041041513), we get a palindrome (338181181833).

The spelling of 315140140320 in words is "three hundred fifteen billion, one hundred forty million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 656541959 1313083918 1969625877 2626167836 3282709795 3939251754 5252335672 6565419590 7878503508 9848129385 10504671344 13130839180 15757007016 19696258770 21009342688 26261678360 31514014032 39392517540 52523356720 63028028064 78785035080 105046713440 157570070160 315140140320