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14023144244430 = 23251515477188401
BaseRepresentation
bin1100110000010000010010…
…0010000000010011001110
31211122121012000220101111200
43030010010202000103032
53314223344411310210
645454051000330330
72645065405235616
oct314040442002316
954577160811450
1014023144244430
114517200386022
1216a59427739a6
137a94b8b78339
14366a1c187a46
15194b92c020c0
hexcc1048804ce

14023144244430 has 96 divisors (see below), whose sum is σ = 36708529036608. Its totient is φ = 3714042240000.

The previous prime is 14023144244401. The next prime is 14023144244477. The reversal of 14023144244430 is 3444244132041.

14023144244430 is a `hidden beast` number, since 1 + 40 + 2 + 3 + 144 + 2 + 44 + 430 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74338230 + ... + 74526630.

It is an arithmetic number, because the mean of its divisors is an integer number (382380510798).

Almost surely, 214023144244430 is an apocalyptic number.

14023144244430 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 14023144244430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18354264518304).

14023144244430 is an abundant number, since it is smaller than the sum of its proper divisors (22685384792178).

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

14023144244430 is a wasteful number, since it uses less digits than its factorization.

14023144244430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194042 (or 194039 counting only the distinct ones).

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

Adding to 14023144244430 its reverse (3444244132041), we get a palindrome (17467388376471).

The spelling of 14023144244430 in words is "fourteen trillion, twenty-three billion, one hundred forty-four million, two hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 151 302 453 755 906 1359 1510 2265 2718 4530 5477 6795 10954 13590 16431 27385 32862 49293 54770 82155 98586 164310 188401 246465 376802 492930 565203 827027 942005 1130406 1654054 1695609 1884010 2481081 2826015 3391218 4135135 4962162 5652030 7443243 8270270 8478045 12405405 14886486 16956090 24810810 28448551 37216215 56897102 74432430 85345653 142242755 170691306 256036959 284485510 426728265 512073918 853456530 1031872277 1280184795 2063744554 2560369590 3095616831 5159361385 6191233662 9286850493 10318722770 15478084155 18573700986 30956168310 46434252465 92868504930 155812713827 311625427654 467438141481 779063569135 934876282962 1402314424443 1558127138270 2337190707405 2804628848886 4674381414810 7011572122215 14023144244430