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14432112411430 = 2572959386331193
BaseRepresentation
bin1101001000000011110011…
…1011110000001100100110
31220002200210201122211211211
43102000330323300030212
53342423431234131210
650410004303422034
73016454125266250
oct322007473601446
956080721584754
1014432112411430
114664696236a8a
1217510592b491a
13808c3349c56c
1437c737436cd0
151a062bada38a
hexd203cef0326

14432112411430 has 128 divisors (see below), whose sum is σ = 31242313267200. Its totient is φ = 4695185531904.

The previous prime is 14432112411427. The next prime is 14432112411527. The reversal of 14432112411430 is 3411421123441.

It is a junction number, because it is equal to n+sod(n) for n = 14432112411392 and 14432112411401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 462655914 + ... + 462687106.

It is an arithmetic number, because the mean of its divisors is an integer number (244080572400).

Almost surely, 214432112411430 is an apocalyptic number.

14432112411430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14432112411430 is an abundant number, since it is smaller than the sum of its proper divisors (16810200855770).

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

14432112411430 is a wasteful number, since it uses less digits than its factorization.

14432112411430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35158.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 14432112411430 its reverse (3411421123441), we get a palindrome (17843533534871).

The spelling of 14432112411430 in words is "fourteen trillion, four hundred thirty-two billion, one hundred twelve million, four hundred eleven thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 58 59 70 118 145 203 290 295 406 413 590 826 1015 1711 2030 2065 3422 3863 4130 7726 8555 11977 17110 19315 23954 27041 31193 38630 54082 59885 62386 112027 119770 135205 155965 218351 224054 227917 270410 311930 436702 455834 560135 784189 904597 1091755 1120270 1139585 1568378 1595419 1809194 1840387 2183510 2279170 3190838 3680774 3920945 4522985 6332179 6609593 7841890 7977095 9045970 9201935 12664358 12882709 13219186 15954190 18403870 25765418 31660895 33047965 46267151 53371223 63321790 64413545 66095930 92534302 106742446 120498559 128827090 231335755 240997118 266856115 373598561 462671510 533712230 602492795 747197122 843489913 1204985590 1686979826 1867992805 3494458211 3735985610 4217449565 6988916422 7109414981 8434899130 14218829962 17472291055 24461207477 34944582110 35547074905 48922414954 49765904867 71094149810 99531809734 122306037385 206173034449 244612074770 248829524335 412346068898 497659048670 1030865172245 1443211241143 2061730344490 2886422482286 7216056205715 14432112411430