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14204413014435 = 3957116317729
BaseRepresentation
bin1100111010110011100011…
…1111011111000110100011
31212021221001222002000000000
43032230320333133012203
53330211114212430220
650113230043231043
72664143411325630
oct316547077370643
955257058060000
1014204413014435
11458706a924956
121714ab1218483
137c0616611a67
143716d6695187
151997519cc390
hexceb38fdf1a3

14204413014435 has 160 divisors (see below), whose sum is σ = 29246786173440. Its totient is φ = 6487496644608.

The previous prime is 14204413014347. The next prime is 14204413014439. The reversal of 14204413014435 is 53441031440241.

It is a happy number.

14204413014435 is a `hidden beast` number, since 1 + 4 + 204 + 4 + 1 + 3 + 0 + 1 + 443 + 5 = 666.

It is not a de Polignac number, because 14204413014435 - 231 = 14202265530787 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14204413014435.

It is not an unprimeable number, because it can be changed into a prime (14204413014439) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 801187651 + ... + 801205379.

It is an arithmetic number, because the mean of its divisors is an integer number (182792413584).

Almost surely, 214204413014435 is an apocalyptic number.

14204413014435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14204413014435 is an abundant number, since it is smaller than the sum of its proper divisors (15042373159005).

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

14204413014435 is an frugal number, since it uses more digits than its factorization.

14204413014435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18931 (or 18907 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 14204413014435 its reverse (53441031440241), we get a palindrome (67645444454676).

The spelling of 14204413014435 in words is "fourteen trillion, two hundred four billion, four hundred thirteen million, fourteen thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 729 945 1163 1215 1701 2187 2835 3489 3645 5103 5815 6561 8141 8505 10467 10935 15309 17445 17729 19683 24423 25515 31401 32805 40705 45927 52335 53187 73269 76545 88645 94203 98415 122115 124103 137781 157005 159561 219807 229635 265935 282609 366345 372309 471015 478683 620515 659421 688905 797805 847827 1099035 1116927 1413045 1436049 1861545 1978263 2393415 2543481 3297105 3350781 4239135 4308147 5584635 5934789 7180245 7630443 9891315 10052343 12717405 12924441 16753905 17804367 20618827 21540735 22891329 29673945 30157029 38152215 38773323 50261715 53413101 61856481 64622205 89021835 90471087 103094135 114456645 116319969 144331789 150785145 160239303 185569443 193866615 267065505 271413261 309282405 348959907 432995367 452355435 556708329 581599845 721658945 801196515 814239783 927847215 1298986101 1357066305 1670124987 1744799535 2164976835 2442719349 2783541645 3896958303 4071198915 5010374961 6494930505 8350624935 11690874909 12213596745 15031124883 19484791515 25051874805 35072624727 45093374649 58454374545 75155624415 105217874181 135280123947 175363123635 225466873245 315653622543 405840371841 526089370905 676400619735 946960867629 1578268112715 2029201859205 2840882602887 4734804338145 14204413014435