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12014254355440 = 245433492515801
BaseRepresentation
bin1010111011010100100101…
…0111001111001111110000
31120112112220001011101102211
42232311021113033033300
53033320143103333230
641315134450221504
72350000265023051
oct256651127171760
946475801141384
1012014254355440
113912242411047
121420539584894
13691c2990772c
142d76c8b86728
1515c7b954842a
hexaed495cf3f0

12014254355440 has 40 divisors (see below), whose sum is σ = 28582749323568. Its totient is φ = 4693941235200.

The previous prime is 12014254355417. The next prime is 12014254355447. The reversal of 12014254355440 is 4455345241021.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12014254355393 and 12014254355402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12014254355447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1746254461 + ... + 1746261340.

Almost surely, 212014254355440 is an apocalyptic number.

12014254355440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12014254355440 is an abundant number, since it is smaller than the sum of its proper divisors (16568494968128).

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

12014254355440 is a wasteful number, since it uses less digits than its factorization.

12014254355440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492515857 (or 3492515851 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 12014254355440 its reverse (4455345241021), we get a palindrome (16469599596461).

The spelling of 12014254355440 in words is "twelve trillion, fourteen billion, two hundred fifty-four million, three hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 3492515801 6985031602 13970063204 17462579005 27940126408 34925158010 55880252816 69850316020 139700632040 150178179443 279401264080 300356358886 600712717772 750890897215 1201425435544 1501781794430 2402850871088 3003563588860 6007127177720 12014254355440