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14430042 = 23311171429
BaseRepresentation
bin110111000010…
…111101011010
31000011010022000
4313002331122
512143230132
61233141430
7233440044
oct67027532
930133260
1014430042
118166560
1249ba876
132cb30b3
141cb8a94
15140087c
hexdc2f5a

14430042 has 64 divisors (see below), whose sum is σ = 37065600. Its totient is φ = 4112640.

The previous prime is 14430029. The next prime is 14430047. The reversal of 14430042 is 24003441.

It is a super-2 number, since 2×144300422 = 416452224243528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14429997 and 14430024.

It is not an unprimeable number, because it can be changed into a prime (14430047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9384 + ... + 10812.

It is an arithmetic number, because the mean of its divisors is an integer number (579150).

Almost surely, 214430042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14430042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18532800).

14430042 is an abundant number, since it is smaller than the sum of its proper divisors (22635558).

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

14430042 is a wasteful number, since it uses less digits than its factorization.

14430042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 14430042 is about 3798.6895108708. The cubic root of 14430042 is about 243.4571488895.

Adding to 14430042 its reverse (24003441), we get a palindrome (38433483).

The spelling of 14430042 in words is "fourteen million, four hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1429 1683 2858 3366 4287 5049 8574 10098 12861 15719 24293 25722 31438 38583 47157 48586 72879 77166 94314 141471 145758 218637 267223 282942 424413 437274 534446 655911 801669 848826 1311822 1603338 2405007 4810014 7215021 14430042