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12430723048842 = 23719127138188817
BaseRepresentation
bin1011010011100100000011…
…0101001110010110001010
31122000100212110111001201010
42310321000311032112022
53112131110100030332
642234332331504350
72422042622351340
oct264710065162612
948010773431633
1012430723048842
113a6292710255a
1214891a7bb80b6
136c229b142467
1430d916243990
15168541b699cc
hexb4e40d4e58a

12430723048842 has 128 divisors (see below), whose sum is σ = 30166173941760. Its totient is φ = 3335758433280.

The previous prime is 12430723048771. The next prime is 12430723048847. The reversal of 12430723048842 is 24884032703421.

It is a super-3 number, since 3×124307230488423 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12430723048791 and 12430723048800.

It is not an unprimeable number, because it can be changed into a prime (12430723048847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139914418 + ... + 140003234.

It is an arithmetic number, because the mean of its divisors is an integer number (235673233920).

Almost surely, 212430723048842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12430723048842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15083086970880).

12430723048842 is an abundant number, since it is smaller than the sum of its proper divisors (17735450892918).

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

12430723048842 is a wasteful number, since it uses less digits than its factorization.

12430723048842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90356.

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 12430723048842 in words is "twelve trillion, four hundred thirty billion, seven hundred twenty-three million, forty-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 127 133 254 266 381 399 762 798 889 1381 1778 2413 2667 2762 4143 4826 5334 7239 8286 9667 14478 16891 19334 26239 29001 33782 50673 52478 58002 78717 88817 101346 157434 175387 177634 183673 266451 350774 367346 526161 532902 551019 621719 1052322 1102038 1227709 1243438 1687523 1865157 2455418 3332353 3375046 3683127 3730314 5062569 6664706 7366254 9997059 10125138 11279759 11812661 19994118 22559518 23326471 23625322 33839277 35437983 46652942 67678554 69979413 70875966 78958313 122656277 139958826 157916626 214315421 236874939 245312554 367968831 428630842 473749878 642946263 735937662 858593939 1285892526 1500207947 1717187878 2330469263 2575781817 3000415894 4500623841 4660938526 5151563634 6991407789 9001247682 13982815578 15577347179 16313284841 31154694358 32626569682 46732041537 48939854523 93464083074 97879709046 109041430253 218082860506 295969596401 327124290759 591939192802 654248581518 887908789203 1775817578406 2071787174807 4143574349614 6215361524421 12430723048842