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312713140000 = 255415635657
BaseRepresentation
bin1001000110011110010…
…01111101011100100000
31002220011111221110021011
410203033021331130200
520110414030440000
6355354115510304
731410215555422
oct4431711753440
91086144843234
10312713140000
11110691462578
1250732bb8394
1323647953661
14111c7758812
15820384a2ba
hex48cf27d720

312713140000 has 60 divisors (see below), whose sum is σ = 769321280574. Its totient is φ = 125085248000.

The previous prime is 312713139989. The next prime is 312713140001. The reversal of 312713140000 is 41317213.

It can be written as a sum of positive squares in 5 ways, for example, as 3572691984 + 309140448016 = 59772^2 + 556004^2 .

It is not an unprimeable number, because it can be changed into a prime (312713140001) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 7797829 + ... + 7837828.

Almost surely, 2312713140000 is an apocalyptic number.

It is an amenable number.

312713140000 is an abundant number, since it is smaller than the sum of its proper divisors (456608140574).

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

312713140000 is an equidigital number, since it uses as much as digits as its factorization.

312713140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15635687 (or 15635664 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 312713140000 its reverse (41317213), we get a palindrome (312754457213).

The spelling of 312713140000 in words is "three hundred twelve billion, seven hundred thirteen million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 15635657 31271314 62542628 78178285 125085256 156356570 250170512 312713140 390891425 500341024 625426280 781782850 1250852560 1563565700 1954457125 2501705120 3127131400 3908914250 6254262800 7817828500 9772285625 12508525600 15635657000 19544571250 31271314000 39089142500 62542628000 78178285000 156356570000 312713140000