Search a number
-
+
12034411504542 = 2327156437610541
BaseRepresentation
bin1010111100011111101011…
…0100101010001110011110
31120121110220211101122201200
42233013322310222032132
53034132433321121132
641332310552020330
72351312635663440
oct257077264521636
946543824348650
1012034411504542
11391a846615559
1214244240916a6
13693abca152ab
142d867bc98490
1515d098ea6d7c
hexaf1fad2a39e

12034411504542 has 48 divisors (see below), whose sum is σ = 29799734451552. Its totient is φ = 3438375675840.

The previous prime is 12034411504487. The next prime is 12034411504559. The reversal of 12034411504542 is 24540511443021.

12034411504542 is a `hidden beast` number, since 1 + 20 + 3 + 4 + 41 + 1 + 50 + 4 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12034411504497 and 12034411504506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19405792 + ... + 20016332.

It is an arithmetic number, because the mean of its divisors is an integer number (620827801074).

Almost surely, 212034411504542 is an apocalyptic number.

12034411504542 is an abundant number, since it is smaller than the sum of its proper divisors (17765322947010).

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

12034411504542 is a wasteful number, since it uses less digits than its factorization.

12034411504542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766993 (or 766990 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 12034411504542 its reverse (24540511443021), we get a palindrome (36574922947563).

The spelling of 12034411504542 in words is "twelve trillion, thirty-four billion, four hundred eleven million, five hundred four thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 156437 312874 469311 610541 938622 1095059 1221082 1407933 1831623 2190118 2815866 3285177 3663246 4273787 5494869 6570354 8547574 9855531 10989738 12821361 19711062 25642722 38464083 76928166 95511202417 191022404834 286533607251 573067214502 668578416919 859600821753 1337156833838 1719201643506 2005735250757 4011470501514 6017205752271 12034411504542