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14104313014224 = 2431034123169191
BaseRepresentation
bin1100110100111110101010…
…0100010010011111010000
31211221100200211021010020210
43031033222210102133100
53322041113112423344
645555233145004120
72654001011344416
oct315175244223720
954840624233223
1014104313014224
114548672aa8154
1216b9615a83640
137b405318b6c4
1436a91c2432b6
15196d43adcdb9
hexcd3ea9127d0

14104313014224 has 80 divisors (see below), whose sum is σ = 36791314919424. Its totient is φ = 4655612438400.

The previous prime is 14104313014223. The next prime is 14104313014261. The reversal of 14104313014224 is 42241031340141.

It is a happy number.

14104313014224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14104313014191 and 14104313014200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14104313014223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203811469 + ... + 203880659.

Almost surely, 214104313014224 is an apocalyptic number.

It is an amenable number.

14104313014224 is an abundant number, since it is smaller than the sum of its proper divisors (22687001905200).

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

14104313014224 is a wasteful number, since it uses less digits than its factorization.

14104313014224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110536 (or 110530 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 14104313014224 its reverse (42241031340141), we get a palindrome (56345344354365).

The spelling of 14104313014224 in words is "fourteen trillion, one hundred four billion, three hundred thirteen million, fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1236 1648 2472 4944 41231 69191 82462 123693 138382 164924 207573 247386 276764 329848 415146 494772 553528 659696 830292 989544 1107056 1660584 1979088 3321168 4246793 7126673 8493586 12740379 14253346 16987172 21380019 25480758 28506692 33974344 42760038 50961516 57013384 67948688 85520076 101923032 114026768 171040152 203846064 342080304 2852814121 5705628242 8558442363 11411256484 17116884726 22822512968 34233769452 45645025936 68467538904 136935077808 293839854463 587679708926 881519563389 1175359417852 1763039126778 2350718835704 3526078253556 4701437671408 7052156507112 14104313014224