Search a number
-
+
14425338384 = 2433194094297
BaseRepresentation
bin11010110111101000…
…10011001000010000
31101020022211010011000
431123310103020100
5214020341312014
610343225022000
71020321232062
oct153364231020
941208733130
1014425338384
116132800266
122967024900
13148b7826b2
149abb95732
1559664e509
hex35bd13210

14425338384 has 160 divisors (see below), whose sum is σ = 43702064000. Its totient is φ = 4543174656.

The previous prime is 14425338379. The next prime is 14425338409. The reversal of 14425338384 is 48383352441.

14425338384 is a `hidden beast` number, since 1 + 442 + 53 + 3 + 83 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3354924 + ... + 3359220.

It is an arithmetic number, because the mean of its divisors is an integer number (273137900).

Almost surely, 214425338384 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 14425338384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21851032000).

14425338384 is an abundant number, since it is smaller than the sum of its proper divisors (29276725616).

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

14425338384 is a wasteful number, since it uses less digits than its factorization.

14425338384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742 (or 4730 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 14425338384 in words is "fourteen billion, four hundred twenty-five million, three hundred thirty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 409 432 456 513 684 818 912 1026 1227 1368 1636 2052 2454 2736 3272 3681 4104 4297 4908 6544 7362 7771 8208 8594 9816 11043 12891 14724 15542 17188 19632 22086 23313 25782 29448 31084 34376 38673 44172 46626 51564 58896 62168 68752 69939 77346 81643 88344 93252 103128 116019 124336 139878 154692 163286 176688 186504 206256 209817 232038 244929 279756 309384 326572 373008 419634 464076 489858 559512 618768 653144 734787 839268 928152 979716 1119024 1306288 1469574 1678536 1757473 1856304 1959432 2204361 2939148 3357072 3514946 3918864 4408722 5272419 5878296 7029892 8817444 10544838 11756592 14059784 15817257 17634888 21089676 28119568 31634514 33391987 35269776 42179352 47451771 63269028 66783974 84358704 94903542 100175961 126538056 133567948 189807084 200351922 253076112 267135896 300527883 379614168 400703844 534271792 601055766 759228336 801407688 901583649 1202111532 1602815376 1803167298 2404223064 3606334596 4808446128 7212669192 14425338384