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12141313414340 = 225111049353314891
BaseRepresentation
bin1011000010101101111010…
…1011000101010011000100
31120222200212000012100022012
42300223132223011103010
53042410402213224330
641453350430553352
72362116031142105
oct260533653052304
946880760170265
1012141313414340
113961113998640
121441099368858
136a0bc8405516
142dd8dd8203ac
15160c540d1c95
hexb0adeac54c4

12141313414340 has 96 divisors (see below), whose sum is σ = 27850911177600. Its totient is φ = 4409269683200.

The previous prime is 12141313414339. The next prime is 12141313414441. The reversal of 12141313414340 is 4341431314121.

It is a happy number.

It is a super-2 number, since 2×121413134143402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12141313414297 and 12141313414306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815338295 + ... + 815353185.

It is an arithmetic number, because the mean of its divisors is an integer number (290113658100).

Almost surely, 212141313414340 is an apocalyptic number.

12141313414340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12141313414340 is an abundant number, since it is smaller than the sum of its proper divisors (15709597763260).

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

12141313414340 is a wasteful number, since it uses less digits than its factorization.

12141313414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19493 (or 19491 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 12141313414340 its reverse (4341431314121), we get a palindrome (16482744728461).

The spelling of 12141313414340 in words is "twelve trillion, one hundred forty-one billion, three hundred thirteen million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1049 2098 3533 4196 5245 7066 10490 11539 14132 14891 17665 20980 23078 29782 35330 38863 46156 57695 59564 70660 74455 77726 115390 148910 155452 163801 194315 230780 297820 327602 388630 655204 777260 819005 1638010 3276020 3706117 7412234 14824468 15620659 18530585 31241318 37061170 40767287 52609903 62482636 74122340 78103295 81534574 105219806 156206590 163069148 171827249 203836435 210439612 263049515 312413180 343654498 407672870 526099030 578708933 687308996 815345740 859136245 1052198060 1157417866 1718272490 2314835732 2893544665 3436544980 5787089330 11574178660 55187788247 110375576494 220751152988 275938941235 551877882470 607065670717 1103755764940 1214131341434 2428262682868 3035328353585 6070656707170 12141313414340