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214345344540210 = 235133182483214943
BaseRepresentation
bin110000101111001000101010…
…000111101101111000110010
31001002221012210121020100110020
4300233020222013231320302
5211043313231200241320
62035512520352344310
763101640312103362
oct6057105207557062
91032835717210406
10214345344540210
116232a394026454
1220059692245096
13927a8aa4468c0
143ad052750c9a2
1519ba933445940
hexc2f22a1ede32

214345344540210 has 128 divisors (see below), whose sum is σ = 571880845541376. Its totient is φ = 51059076606720.

The previous prime is 214345344540199. The next prime is 214345344540227. The reversal of 214345344540210 is 12045443543412.

214345344540210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2143453445402103 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 997111999 + ... + 997326941.

It is an arithmetic number, because the mean of its divisors is an integer number (4467819105792).

Almost surely, 2214345344540210 is an apocalyptic number.

214345344540210 is an abundant number, since it is smaller than the sum of its proper divisors (357535501001166).

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

214345344540210 is a wasteful number, since it uses less digits than its factorization.

214345344540210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297480.

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 214345344540210 in words is "two hundred fourteen trillion, three hundred forty-five billion, three hundred forty-four million, five hundred forty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 465 806 930 1209 2015 2418 4030 6045 12090 82483 164966 214943 247449 412415 429886 494898 644829 824830 1072279 1074715 1237245 1289658 2144558 2149430 2474490 2556973 2794259 3216837 3224145 5113946 5361395 5588518 6433674 6448290 6663233 7670919 8382777 10722790 12784865 13326466 13971295 15341838 16084185 16765554 19989699 25569730 27942590 32168370 33240649 33316165 38354595 39979398 41913885 66481298 66632330 76709190 83827770 86622029 99721947 99948495 166203245 173244058 199443894 199896990 259866087 332406490 433110145 498609735 519732174 866220290 997219470 1299330435 2598660870 17729143469 35458286938 53187430407 88645717345 106374860814 177291434690 230478865097 265937152035 460957730194 531874304070 549603447539 691436595291 1099206895078 1152394325485 1382873190582 1648810342617 2304788650970 2748017237695 3297620685234 3457182976455 5496034475390 6914365952910 7144844818007 8244051713085 14289689636014 16488103426170 21434534454021 35724224090035 42869068908042 71448448180070 107172672270105 214345344540210