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14444132422230 = 2335756531351919
BaseRepresentation
bin1101001000110000100101…
…1000011101001001010110
31220010211211102102122212000
43102030021120131021112
53343123040400002410
650415313130140130
73020361031555440
oct322141130351126
956124742378760
1014444132422230
1146697a4216005
121753452881646
1380a0ca81c3a4
1437d157983490
151a0ad1eaedc0
hexd230961d256

14444132422230 has 128 divisors (see below), whose sum is σ = 44028032716800. Its totient is φ = 3300929511552.

The previous prime is 14444132422199. The next prime is 14444132422231. The reversal of 14444132422230 is 3222423144441.

14444132422230 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 413 + 2 + 4 + 2 + 2 + 230 = 666.

It is a super-2 number, since 2×144441324222302 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14444132422231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10008211 + ... + 11360129.

It is an arithmetic number, because the mean of its divisors is an integer number (343969005600).

Almost surely, 214444132422230 is an apocalyptic number.

14444132422230 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 14444132422230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014016358400).

14444132422230 is an abundant number, since it is smaller than the sum of its proper divisors (29583900294570).

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

14444132422230 is a wasteful number, since it uses less digits than its factorization.

14444132422230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357595 (or 1357589 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 14444132422230 its reverse (3222423144441), we get a palindrome (17666555566671).

The spelling of 14444132422230 in words is "fourteen trillion, four hundred forty-four billion, one hundred thirty-two million, four hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 5653 11306 16959 28265 33918 39571 50877 56530 79142 84795 101754 118713 152631 169590 197855 237426 254385 305262 356139 395710 508770 593565 712278 763155 1068417 1187130 1351919 1526310 1780695 2136834 2703838 3561390 4055757 5342085 6759595 8111514 9463433 10684170 12167271 13519190 18926866 20278785 24334542 28390299 36501813 40557570 47317165 56780598 60836355 73003626 85170897 94634330 121672710 141951495 170341794 182509065 255512691 283902990 365018130 425854485 511025382 851708970 1277563455 2555126910 7642398107 15284796214 22927194321 38211990535 45854388642 53496786749 68781582963 76423981070 106993573498 114635971605 137563165926 160490360247 206344748889 229271943210 267483933745 320980720494 343907914815 412689497778 481471080741 534967867490 687815829630 802451801235 962942161482 1031723744445 1444413242223 1604903602470 2063447488890 2407355403705 2888826484446 4814710807410 7222066211115 14444132422230