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14323610730 = 23511139734421
BaseRepresentation
bin11010101011100000…
…01111010001101010
31100222020101211001010
431111300033101222
5213313321020410
610325152404350
71014644453022
oct152560172152
940866354033
1014323610730
116090339820
122938b466b6
131473685710
1499c474a82
1558c757c20
hex355c0f46a

14323610730 has 128 divisors (see below), whose sum is σ = 40804114176. Its totient is φ = 3172147200.

The previous prime is 14323610713. The next prime is 14323610737. The reversal of 14323610730 is 3701632341.

14323610730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×143236107302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14323610737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 398920 + ... + 433340.

It is an arithmetic number, because the mean of its divisors is an integer number (318782142).

Almost surely, 214323610730 is an apocalyptic number.

14323610730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14323610730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20402057088).

14323610730 is an abundant number, since it is smaller than the sum of its proper divisors (26480503446).

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

14323610730 is a wasteful number, since it uses less digits than its factorization.

14323610730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34552.

The product of its (nonzero) digits is 9072, while the sum is 30.

The spelling of 14323610730 in words is "fourteen billion, three hundred twenty-three million, six hundred ten thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 97 110 130 143 165 194 195 286 291 330 390 429 485 582 715 858 970 1067 1261 1430 1455 2134 2145 2522 2910 3201 3783 4290 5335 6305 6402 7566 10670 12610 13871 16005 18915 27742 32010 34421 37830 41613 68842 69355 83226 103263 138710 172105 206526 208065 344210 378631 416130 447473 516315 757262 894946 1032630 1135893 1342419 1893155 2237365 2271786 2684838 3338837 3786310 4474730 4922203 5679465 6677674 6712095 9844406 10016511 11358930 13424190 14766609 16694185 20033022 24611015 29533218 33388370 36727207 43404881 49222030 50082555 73454414 73833045 86809762 100165110 110181621 130214643 147666090 183636035 217024405 220363242 260429286 367272070 434048810 477453691 550908105 651073215 954907382 1101816210 1302146430 1432361073 2387268455 2864722146 4774536910 7161805365 14323610730