Search a number
-
+
14138459328 = 263748721601
BaseRepresentation
bin11010010101011011…
…11100010011000000
31100111100000011001210
431022231330103000
5212423421144303
610254540130120
71010235631020
oct151255742300
940440004053
1014138459328
115aa5878834
1228a6b36940
1314441c9b86
14981a39a80
1557b383203
hex34ab7c4c0

14138459328 has 112 divisors (see below), whose sum is σ = 42841777664. Its totient is φ = 4031078400.

The previous prime is 14138459263. The next prime is 14138459333. The reversal of 14138459328 is 82395483141.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 643728 + ... + 665328.

It is an arithmetic number, because the mean of its divisors is an integer number (382515872).

Almost surely, 214138459328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14138459328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21420888832).

14138459328 is an abundant number, since it is smaller than the sum of its proper divisors (28703318336).

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

14138459328 is a wasteful number, since it uses less digits than its factorization.

14138459328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22110 (or 22100 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The spelling of 14138459328 in words is "fourteen billion, one hundred thirty-eight million, four hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 487 672 974 1344 1461 1948 2922 3409 3896 5844 6818 7792 10227 11688 13636 15584 20454 21601 23376 27272 31168 40908 43202 46752 54544 64803 81816 86404 93504 109088 129606 151207 163632 172808 218176 259212 302414 327264 345616 453621 518424 604828 654528 691232 907242 1036848 1209656 1382464 1814484 2073696 2419312 3628968 4147392 4838624 7257936 9677248 10519687 14515872 21039374 29031744 31559061 42078748 63118122 73637809 84157496 126236244 147275618 168314992 220913427 252472488 294551236 336629984 441826854 504944976 589102472 673259968 883653708 1009889952 1178204944 1767307416 2019779904 2356409888 3534614832 4712819776 7069229664 14138459328