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312214303255040 = 295730916686101
BaseRepresentation
bin100011011111101010000111…
…0101000111010101000000000
31111221110101200121102000102122
41012333110032220322220000
5311410304343113130130
63024005134300503412
7122522511326222444
oct10677241650725000
91457411617360378
10312214303255040
119053238486075a
122b02528254ab68
13105298b44bcc94
145715377d8c824
15261662578a2e5
hex11bf50ea3aa00

312214303255040 has 80 divisors (see below), whose sum is σ = 748685039695560. Its totient is φ = 124868627251200.

The previous prime is 312214303255033. The next prime is 312214303255087. The reversal of 312214303255040 is 40552303412213.

It can be written as a sum of positive squares in 4 ways, for example, as 187828998525184 + 124385304729856 = 13705072^2 + 11152816^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 10367990 + ... + 27054090.

Almost surely, 2312214303255040 is an apocalyptic number.

It is an amenable number.

312214303255040 is an abundant number, since it is smaller than the sum of its proper divisors (436470736440520).

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

312214303255040 is an equidigital number, since it uses as much as digits as its factorization.

312214303255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16693433 (or 16693417 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 312214303255040 its reverse (40552303412213), we get a palindrome (352766606667253).

The spelling of 312214303255040 in words is "three hundred twelve trillion, two hundred fourteen billion, three hundred three million, two hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 7309 14618 29236 36545 58472 73090 116944 146180 233888 292360 467776 584720 935552 1169440 1871104 2338880 3742208 4677760 9355520 16686101 18711040 33372202 66744404 83430505 133488808 166861010 266977616 333722020 533955232 667444040 1067910464 1334888080 2135820928 2669776160 4271641856 5339552320 8543283712 10679104640 21358209280 42716418560 121958712209 243917424418 487834848836 609793561045 975669697672 1219587122090 1951339395344 2439174244180 3902678790688 4878348488360 7805357581376 9756696976720 15610715162752 19513393953440 31221430325504 39026787906880 62442860651008 78053575813760 156107151627520 312214303255040