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14144544 = 253517107
BaseRepresentation
bin110101111101…
…010000100000
3222121121200000
4311331100200
512110111134
61223100000
7231140511
oct65752040
928547600
1014144544
117a91007
1248a1600
132c1316b
141c42a08
151395e99
hexd7d420

14144544 has 144 divisors (see below), whose sum is σ = 44579808. Its totient is φ = 4396032.

The previous prime is 14144521. The next prime is 14144567. The reversal of 14144544 is 44544141.

It is an interprime number because it is at equal distance from previous prime (14144521) and next prime (14144567).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132139 + ... + 132245.

It is an arithmetic number, because the mean of its divisors is an integer number (309582).

Almost surely, 214144544 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 14144544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22289904).

14144544 is an abundant number, since it is smaller than the sum of its proper divisors (30435264).

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

14144544 is a wasteful number, since it uses less digits than its factorization.

14144544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 14144544 is about 3760.9232908955. The cubic root of 14144544 is about 241.8408442846.

Adding to 14144544 its reverse (44544141), we get a palindrome (58688685).

The spelling of 14144544 in words is "fourteen million, one hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 107 108 136 144 153 162 204 214 216 243 272 288 306 321 324 408 428 432 459 486 544 612 642 648 816 856 864 918 963 972 1224 1284 1296 1377 1632 1712 1819 1836 1926 1944 2448 2568 2592 2754 2889 3424 3638 3672 3852 3888 4131 4896 5136 5457 5508 5778 7276 7344 7704 7776 8262 8667 10272 10914 11016 11556 14552 14688 15408 16371 16524 17334 21828 22032 23112 26001 29104 30816 32742 33048 34668 43656 44064 46224 49113 52002 58208 65484 66096 69336 87312 92448 98226 104004 130968 132192 138672 147339 174624 196452 208008 261936 277344 294678 392904 416016 442017 523872 589356 785808 832032 884034 1178712 1571616 1768068 2357424 3536136 4714848 7072272 14144544