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12340400211424 = 2513715717929123
BaseRepresentation
bin1011001110010011100100…
…1010111100010111100000
31121200201201201010111220101
42303210321022330113200
53104141114423231144
642125033535552144
72412364423040665
oct263447112742740
947621651114811
1012340400211424
113a2859722998a
12147379b08b654
136b690548762c
143093c8509a6c
151660072bc6d4
hexb39392bc5e0

12340400211424 has 48 divisors (see below), whose sum is σ = 24628377040848. Its totient is φ = 6086148037632.

The previous prime is 12340400211407. The next prime is 12340400211479. The reversal of 12340400211424 is 42411200404321.

12340400211424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123404002114242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12340400211392 and 12340400211401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8276274 + ... + 9652849.

It is an arithmetic number, because the mean of its divisors is an integer number (513091188351).

Almost surely, 212340400211424 is an apocalyptic number.

It is an amenable number.

12340400211424 is a deficient number, since it is larger than the sum of its proper divisors (12287976829424).

12340400211424 is a wasteful number, since it uses less digits than its factorization.

12340400211424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17929427 (or 17929419 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 12340400211424 its reverse (42411200404321), we get a palindrome (54751600615745).

The spelling of 12340400211424 in words is "twelve trillion, three hundred forty billion, four hundred million, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 137 157 274 314 548 628 1096 1256 2192 2512 4384 5024 21509 43018 86036 172072 344144 688288 17929123 35858246 71716492 143432984 286865968 573731936 2456289851 2814872311 4912579702 5629744622 9825159404 11259489244 19650318808 22518978488 39300637616 45037956976 78601275232 90075913952 385637506607 771275013214 1542550026428 3085100052856 6170200105712 12340400211424