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314325646240 = 2554334537033
BaseRepresentation
bin1001001001011110100…
…01001011101110100000
31010001022220011020222111
410210233101023232200
520122214331134430
6400222121245104
731465165623664
oct4445721135640
91101286136874
10314325646240
111113396a6361
1250b03033794
1323843a47968
14112db9868a4
15829a1b9c2a
hex492f44bba0

314325646240 has 48 divisors (see below), whose sum is σ = 744309501768. Its totient is φ = 125439860736.

The previous prime is 314325646183. The next prime is 314325646307. The reversal of 314325646240 is 42646523413.

It can be written as a sum of positive squares in 4 ways, for example, as 280039939344 + 34285706896 = 529188^2 + 185164^2 .

It is a super-2 number, since 2×3143256462402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 314325646193 and 314325646202.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2199237 + ... + 2337796.

Almost surely, 2314325646240 is an apocalyptic number.

It is an amenable number.

314325646240 is an abundant number, since it is smaller than the sum of its proper divisors (429983855528).

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

314325646240 is a wasteful number, since it uses less digits than its factorization.

314325646240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4537481 (or 4537473 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 314325646240 in words is "three hundred fourteen billion, three hundred twenty-five million, six hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 433 866 1732 2165 3464 4330 6928 8660 13856 17320 34640 69280 4537033 9074066 18148132 22685165 36296264 45370330 72592528 90740660 145185056 181481320 362962640 725925280 1964535289 3929070578 7858141156 9822676445 15716282312 19645352890 31432564624 39290705780 62865129248 78581411560 157162823120 314325646240