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204224042243312 = 247131073061428251
BaseRepresentation
bin101110011011110110011101…
…011111100001010011110000
3222210002121221122022221121222
4232123312131133201103300
5203232001314303241222
62002203121350204212
761005462102055520
oct5633663537412360
9883077848287558
10204224042243312
115a087a25811393
121aaa3ba2653668
1389c5324373750
1438606d4119680
151892509056542
hexb9bd9d7e14f0

204224042243312 has 160 divisors (see below), whose sum is σ = 491708887617024. Its totient is φ = 80010529920000.

The previous prime is 204224042243311. The next prime is 204224042243371. The reversal of 204224042243312 is 213342240422402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204224042243311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476665187 + ... + 477093437.

Almost surely, 2204224042243312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204224042243312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245854443808512).

204224042243312 is an abundant number, since it is smaller than the sum of its proper divisors (287484845373712).

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

204224042243312 is a wasteful number, since it uses less digits than its factorization.

204224042243312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431447 (or 431441 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 204224042243312 its reverse (213342240422402), we get a palindrome (417566282665714).

The spelling of 204224042243312 in words is "two hundred four trillion, two hundred twenty-four billion, forty-two million, two hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 107 112 182 208 214 364 428 728 749 856 1391 1456 1498 1712 2782 2996 3061 5564 5992 6122 9737 11128 11984 12244 19474 21427 22256 24488 38948 39793 42854 48976 77896 79586 85708 155792 159172 171416 278551 318344 327527 342832 428251 557102 636688 655054 856502 1114204 1310108 1713004 2228408 2292689 2620216 2997757 3426008 4257851 4456816 4585378 5240432 5567263 5995514 6852016 8515702 9170756 11134526 11991028 17031404 18341512 22269052 23982056 29804957 34062808 36683024 38970841 44538104 45822857 47964112 59609914 68125616 77941682 89076208 91645714 119219828 155883364 183291428 238439656 311766728 320759999 366582856 476879312 595697141 623533456 641519998 733165712 1191394282 1283039996 1310876311 2382788564 2566079992 2621752622 4169879987 4765577128 5132159984 5243505244 8339759974 9176134177 9531154256 10487010488 16679519948 17041392043 18352268354 20974020976 33359039896 34082784086 36704536708 66718079792 68165568172 73409073416 119289744301 136331136344 140263765277 146818146832 238579488602 272662272688 280527530554 477158977204 561055061108 954317954408 981846356939 1122110122216 1823428948601 1908635908816 1963692713878 2244220244432 3646857897202 3927385427756 7293715794404 7854770855512 12764002640207 14587431588808 15709541711024 25528005280414 29174863177616 51056010560828 102112021121656 204224042243312