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12414011424 = 253612119879
BaseRepresentation
bin10111000111110111…
…01100100000100000
31012001011011010020220
423203323230200200
5200410441331144
65411455203040
7616426233063
oct134373544040
935034133226
1012414011424
1152a0427581
1224a5516480
13122ab707b9
1485a9cc8da
154c9ca0919
hex2e3eec820

12414011424 has 48 divisors (see below), whose sum is σ = 33121005120. Its totient is φ = 4070165760.

The previous prime is 12414011419. The next prime is 12414011471. The reversal of 12414011424 is 42411041421.

12414011424 = T304 + T305 + ... + T4207.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12414011394 and 12414011403.

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, 1054084 + ... + 1065795.

It is an arithmetic number, because the mean of its divisors is an integer number (690020940).

Almost surely, 212414011424 is an apocalyptic number.

It is an amenable number.

12414011424 is an abundant number, since it is smaller than the sum of its proper divisors (20706993696).

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

12414011424 is a wasteful number, since it uses less digits than its factorization.

12414011424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119953 (or 2119945 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12414011424 its reverse (42411041421), we get a palindrome (54825052845).

The spelling of 12414011424 in words is "twelve billion, four hundred fourteen million, eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 2119879 4239758 6359637 8479516 12719274 16959032 25438548 33918064 50877096 67836128 101754192 129312619 203508384 258625238 387937857 517250476 775875714 1034500952 1551751428 2069001904 3103502856 4138003808 6207005712 12414011424