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12414104340 = 22351171264919
BaseRepresentation
bin10111000111111000…
…00011001100010100
31012001011022211201020
423203330003030110
5200411002314330
65411501201140
7616430101011
oct134374031424
935034284636
1012414104340
1152a0490370
1224a55601b0
13122aba3b91
1485aa14708
154c9cbd210
hex2e3f03314

12414104340 has 96 divisors (see below), whose sum is σ = 38453667840. Its totient is φ = 2967081600.

The previous prime is 12414104323. The next prime is 12414104363. The reversal of 12414104340 is 4340141421.

It is a self number, because there is not a number n which added to its sum of digits gives 12414104340.

It is a congruent number.

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, 85600 + ... + 179319.

It is an arithmetic number, because the mean of its divisors is an integer number (400559040).

Almost surely, 212414104340 is an apocalyptic number.

12414104340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12414104340 is an abundant number, since it is smaller than the sum of its proper divisors (26039563500).

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

12414104340 is a wasteful number, since it uses less digits than its factorization.

12414104340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265013 (or 265011 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12414104340 its reverse (4340141421), we get a palindrome (16754245761).

The spelling of 12414104340 in words is "twelve billion, four hundred fourteen million, one hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 71 110 132 142 165 213 220 284 330 355 426 660 710 781 852 1065 1420 1562 2130 2343 3124 3905 4260 4686 7810 9372 11715 15620 23430 46860 264919 529838 794757 1059676 1324595 1589514 2649190 2914109 3179028 3973785 5298380 5828218 7947570 8742327 11656436 14570545 15895140 17484654 18809249 29141090 34969308 37618498 43711635 56427747 58282180 75236996 87423270 94046245 112855494 174846540 188092490 206901739 225710988 282138735 376184980 413803478 564277470 620705217 827606956 1034508695 1128554940 1241410434 2069017390 2482820868 3103526085 4138034780 6207052170 12414104340