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314355264332340 = 223571168042265007
BaseRepresentation
bin100011101111001111000100…
…1110111010010001000110100
31112020001001212212101112100110
41013132132021313102020310
5312200344040132113330
63032324451554543020
7123133263333140460
oct10736361167221064
91466031785345313
10314355264332340
1191188356544240
122b3101a5b97a70
131065376077611a
14578ac399654a0
15265217da2cdb0
hex11de789dd2234

314355264332340 has 96 divisors (see below), whose sum is σ = 1097385650049024. Its totient is φ = 65320574405760.

The previous prime is 314355264332309. The next prime is 314355264332357. The reversal of 314355264332340 is 43233462553413.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 314355264332340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34021127884 + ... + 34021137123.

It is an arithmetic number, because the mean of its divisors is an integer number (11431100521344).

Almost surely, 2314355264332340 is an apocalyptic number.

314355264332340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314355264332340 is an abundant number, since it is smaller than the sum of its proper divisors (783030385716684).

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

314355264332340 is a wasteful number, since it uses less digits than its factorization.

314355264332340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68042265037 (or 68042265035 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 48.

The spelling of 314355264332340 in words is "three hundred fourteen trillion, three hundred fifty-five billion, two hundred sixty-four million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 68042265007 136084530014 204126795021 272169060028 340211325035 408253590042 476295855049 680422650070 748464915077 816507180084 952591710098 1020633975105 1360845300140 1428887565147 1496929830154 1905183420196 2041267950210 2245394745231 2381479275245 2857775130294 2993859660308 3742324575385 4082535900420 4490789490462 4762958550490 5239254405539 5715550260588 7144437825735 7484649150770 8981578980924 9525917100980 10478508811078 11226973726155 14288875651470 14969298301540 15717763216617 20957017622156 22453947452310 26196272027695 28577751302940 31435526433234 44907894904620 52392544055390 62871052866468 78588816083085 104785088110780 157177632166170 314355264332340