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243312262213342 = 27731012137170353
BaseRepresentation
bin110111010100101010001100…
…111101010110111011011110
31011220111102110220021100111211
4313110222030331112323132
5223342412003111311332
62221252035444135034
7102151505451555160
oct6724521475267336
91156442426240454
10243312262213342
1170588172977803
122335766839747a
13a59c32b77747a
14441253a8d0930
151d1e19c477447
hexdd4a8cf56ede

243312262213342 has 96 divisors (see below), whose sum is σ = 430167983029056. Its totient is φ = 101086059110400.

The previous prime is 243312262213301. The next prime is 243312262213343.

It is a happy number.

243312262213342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 243312262213295 and 243312262213304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243312262213343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1428197638 + ... + 1428367990.

It is an arithmetic number, because the mean of its divisors is an integer number (4480916489886).

Almost surely, 2243312262213342 is an apocalyptic number.

243312262213342 is a deficient number, since it is larger than the sum of its proper divisors (186855720815714).

243312262213342 is a wasteful number, since it uses less digits than its factorization.

243312262213342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170774 (or 170673 counting only the distinct ones).

The product of its digits is 497664, while the sum is 40.

The spelling of 243312262213342 in words is "two hundred forty-three trillion, three hundred twelve billion, two hundred sixty-two million, two hundred thirteen thousand, three hundred forty-two".

Divisors: 1 2 7 14 73 101 137 146 202 274 511 707 959 1022 1414 1918 7373 10001 10201 13837 14746 20002 20402 27674 51611 70007 71407 96859 103222 140014 142814 170353 193718 340706 744673 1010101 1192471 1397537 1489346 2020202 2384942 2795074 5212711 7070707 9782759 10425422 12435769 14141414 17205653 19565518 23338361 24871538 34411306 46676722 87050383 102020201 120439571 163368527 174100766 204040402 240879142 326737054 714141407 1256012669 1428282814 1703700353 1737770953 2357174461 2512025338 3407400706 3475541906 4714348922 8792088683 11925902471 12164396671 16500221227 17584177366 23851804942 24328793342 33000442454 126857279569 172073735653 238074620561 253714559138 344147471306 476149241122 888000956983 1204516149571 1666522343927 1776001913966 2409032299142 3333044687854 17379447300953 34758894601906 121656131106671 243312262213342