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12433412243034 = 2334773163411707
BaseRepresentation
bin1011010011101110000100…
…0111101011111001011010
31122000121210212200021122000
42310323201013223321122
53112202112013234114
642235455234341430
72422166355210546
oct264734107537132
948017725607560
1012433412243034
113a63a870889a2
12148981872a876
136c2609314623
1430dacd462a26
1516864ccb7e09
hexb4ee11ebe5a

12433412243034 has 128 divisors (see below), whose sum is σ = 28779772538880. Its totient is φ = 3976170913152.

The previous prime is 12433412242991. The next prime is 12433412243041. The reversal of 12433412243034 is 43034221433421.

12433412243034 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 341 + 2 + 2 + 4 + 303 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12433412243034.

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, 29993809 + ... + 30405515.

It is an arithmetic number, because the mean of its divisors is an integer number (224841972960).

Almost surely, 212433412243034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12433412243034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14389886269440).

12433412243034 is an abundant number, since it is smaller than the sum of its proper divisors (16346360295846).

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

12433412243034 is a wasteful number, since it uses less digits than its factorization.

12433412243034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412001 (or 411995 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 12433412243034 its reverse (43034221433421), we get a palindrome (55467633676455).

The spelling of 12433412243034 in words is "twelve trillion, four hundred thirty-three billion, four hundred twelve million, two hundred forty-three thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 47 54 73 94 141 146 163 219 282 326 423 438 489 657 846 978 1269 1314 1467 1971 2538 2934 3431 3942 4401 6862 7661 8802 10293 11899 15322 20586 22983 23798 30879 35697 45966 61758 68949 71394 92637 107091 137898 185274 206847 214182 321273 411707 413694 559253 642546 823414 1118506 1235121 1677759 2470242 3355518 3705363 5033277 7410726 10066554 11116089 15099831 19350229 22232178 30054611 30199662 38700458 58050687 60109222 67108241 90163833 116101374 134216482 174152061 180327666 201324723 270491499 348304122 402649446 522456183 540982998 603974169 811474497 1044912366 1207948338 1412566717 1622948994 1811922507 2825133434 3154087327 3623845014 4237700151 4898901593 6308174654 8475400302 9462261981 9797803186 12713100453 14696704779 18924523962 25426200906 28386785943 29393409558 38139301359 44090114337 56773571886 76278602718 85160357829 88180228674 132270343011 170320715658 230248374871 264540686022 460496749742 690745124613 1381490249226 2072235373839 4144470747678 6216706121517 12433412243034