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14134123440 = 2432585922853
BaseRepresentation
bin11010010100111010…
…11001101110110000
31100111000211212100100
431022131121232300
5212421313422230
610254303152400
71010154031653
oct151235315660
940430755310
1014134123440
115aa3387158
1228a55a5700
13144333c468
1498122b89a
1557acc8660
hex34a759bb0

14134123440 has 120 divisors (see below), whose sum is σ = 47524435920. Its totient is φ = 3764547072.

The previous prime is 14134123411. The next prime is 14134123481. The reversal of 14134123440 is 4432143141.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607054 + ... + 629906.

It is an arithmetic number, because the mean of its divisors is an integer number (396036966).

Almost surely, 214134123440 is an apocalyptic number.

14134123440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14134123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23762217960).

14134123440 is an abundant number, since it is smaller than the sum of its proper divisors (33390312480).

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

14134123440 is a wasteful number, since it uses less digits than its factorization.

14134123440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23731 (or 23722 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14134123440 its reverse (4432143141), we get a palindrome (18566266581).

The spelling of 14134123440 in words is "fourteen billion, one hundred thirty-four million, one hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 859 1718 2577 3436 4295 5154 6872 7731 8590 10308 12885 13744 15462 17180 20616 22853 25770 30924 34360 38655 41232 45706 51540 61848 68559 68720 77310 91412 103080 114265 123696 137118 154620 182824 205677 206160 228530 274236 309240 342795 365648 411354 457060 548472 618480 685590 822708 914120 1028385 1096944 1371180 1645416 1828240 2056770 2742360 3290832 4113540 5484720 8227080 16454160 19630727 39261454 58892181 78522908 98153635 117784362 157045816 176676543 196307270 235568724 294460905 314091632 353353086 392614540 471137448 588921810 706706172 785229080 883382715 942274896 1177843620 1413412344 1570458160 1766765430 2355687240 2826824688 3533530860 4711374480 7067061720 14134123440