Search a number
-
+
30661400061243 = 3274779191686267
BaseRepresentation
bin1101111100010111010011…
…10110111110010100111011
311000120012102200121002200200
412332023221312332110323
513004324021403424433
6145113352553533243
76313133035221150
oct676135166762473
9130505380532620
1030661400061243
119851476aa2416
123532474a14223
1314154858c7233
1478003c010227
15382890252613
hex1be2e9dbe53b

30661400061243 has 96 divisors (see below), whose sum is σ = 52621053788160. Its totient is φ = 16842285270720.

The previous prime is 30661400061209. The next prime is 30661400061251. The reversal of 30661400061243 is 34216000416603.

30661400061243 is a `hidden beast` number, since 3 + 0 + 6 + 6 + 1 + 400 + 0 + 6 + 1 + 243 = 666.

It is not a de Polignac number, because 30661400061243 - 217 = 30661399930171 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30661400061198 and 30661400061207.

It is not an unprimeable number, because it can be changed into a prime (30661400061283) 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 95 ways as a sum of consecutive naturals, for example, 44335396 + ... + 45021662.

It is an arithmetic number, because the mean of its divisors is an integer number (548135976960).

Almost surely, 230661400061243 is an apocalyptic number.

30661400061243 is a deficient number, since it is larger than the sum of its proper divisors (21959653726917).

30661400061243 is a wasteful number, since it uses less digits than its factorization.

30661400061243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686597 (or 686594 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 30661400061243 its reverse (34216000416603), we get a palindrome (64877400477846).

The spelling of 30661400061243 in words is "thirty trillion, six hundred sixty-one billion, four hundred million, sixty-one thousand, two hundred forty-three".

Divisors: 1 3 7 9 21 47 63 79 141 191 237 329 423 553 573 711 987 1337 1659 1719 2961 3713 4011 4977 8977 11139 12033 15089 25991 26931 33417 45267 62839 77973 80793 105623 135801 188517 233919 316869 565551 686267 709183 950607 2058801 2127549 4803869 4964281 6176403 6382647 14411607 14892843 32254549 43234821 44678529 54215093 96763647 131076997 162645279 225781843 290290941 379505651 393230991 487935837 677345529 917538979 1138516953 1179692973 2032036587 2548109371 2752616937 3415550859 6160618859 7644328113 8257850811 10355082763 17836765597 18481856577 22932984339 31065248289 43124332013 53510296791 55445569731 72485579341 93195744867 129372996039 160530890373 217456738023 388118988117 486688889861 652370214069 1460066669583 3406822229027 4380200008749 10220466687081 30661400061243