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214328909213328 = 24371323774459517
BaseRepresentation
bin110000101110111001010110…
…011111111010111010010000
31001002212122101012021020102210
4300232321112133322322100
5211043031101224311303
62035501201442312120
763100516113115440
oct6056712637727220
91032778335236383
10214328909213328
116232341a787078
1220056466058640
13927918b430600
143acd80881c120
1519ba2c060e203
hexc2ee567fae90

214328909213328 has 120 divisors (see below), whose sum is σ = 685200283059648. Its totient is φ = 56526305711616.

The previous prime is 214328909213239. The next prime is 214328909213347. The reversal of 214328909213328 is 823312909823412.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1887172975 + ... + 1887286542.

Almost surely, 2214328909213328 is an apocalyptic number.

214328909213328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

214328909213328 is an abundant number, since it is smaller than the sum of its proper divisors (470871373846320).

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

214328909213328 is a wasteful number, since it uses less digits than its factorization.

214328909213328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774459561 (or 3774459542 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 214328909213328 in words is "two hundred fourteen trillion, three hundred twenty-eight billion, nine hundred nine million, two hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 169 182 208 273 312 336 338 364 507 546 624 676 728 1014 1092 1183 1352 1456 2028 2184 2366 2704 3549 4056 4368 4732 7098 8112 9464 14196 18928 28392 56784 3774459517 7548919034 11323378551 15097838068 22646757102 26421216619 30195676136 45293514204 49067973721 52842433238 60391352272 79263649857 90587028408 98135947442 105684866476 147203921163 158527299714 181174056816 196271894884 211369732952 294407842326 317054599428 343475816047 392543789768 422739465904 588815684652 634109198856 637883658373 686951632094 785087579536 1030427448141 1177631369304 1268218397712 1275767316746 1373903264188 1913650975119 2060854896282 2355262738608 2551534633492 2747806528376 3827301950238 4121709792564 4465185608611 5103069266984 5495613056752 7654603900476 8243419585128 8930371217222 10206138533968 13395556825833 15309207800952 16486839170256 17860742434444 26791113651666 30618415601904 35721484868888 53582227303332 71442969737776 107164454606664 214328909213328