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14444136 = 2333741233
BaseRepresentation
bin110111000110…
…011001101000
31000011211122000
4313012121220
512144203021
61233331000
7233526120
oct67063150
930154560
1014444136
118176103
124a06a60
132cb9635
141cbdc80
151404b26
hexdc6668

14444136 has 128 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 4008960.

The previous prime is 14444113. The next prime is 14444137. The reversal of 14444136 is 63144441.

14444136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14444137) 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, 61876 + ... + 62108.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 214444136 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 14444136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

14444136 is an abundant number, since it is smaller than the sum of its proper divisors (32730264).

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

14444136 is a wasteful number, since it uses less digits than its factorization.

14444136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

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

The square root of 14444136 is about 3800.5441715628. The cubic root of 14444136 is about 243.5363856312.

Adding to 14444136 its reverse (63144441), we get a palindrome (77588577).

The spelling of 14444136 in words is "fourteen million, four hundred forty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 82 84 108 123 126 164 168 189 216 233 246 252 287 328 369 378 466 492 504 574 699 738 756 861 932 984 1107 1148 1398 1476 1512 1631 1722 1864 2097 2214 2296 2583 2796 2952 3262 3444 4194 4428 4893 5166 5592 6291 6524 6888 7749 8388 8856 9553 9786 10332 12582 13048 14679 15498 16776 19106 19572 20664 25164 28659 29358 30996 38212 39144 44037 50328 57318 58716 61992 66871 76424 85977 88074 114636 117432 133742 171954 176148 200613 229272 257931 267484 343908 352296 401226 515862 534968 601839 687816 802452 1031724 1203678 1604904 1805517 2063448 2407356 3611034 4814712 7222068 14444136