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14132134500 = 2235311277863
BaseRepresentation
bin11010010100101011…
…10100001001100100
31100110220002211000220
431022111310021210
5212420311301000
610254152404340
71010131106211
oct151225641144
940426084026
1014132134500
115aa2248900
1228a49a66b0
131442ac4083
14980c70b08
1557aa341a0
hex34a574264

14132134500 has 144 divisors (see below), whose sum is σ = 45234623616. Its totient is φ = 3425928000.

The previous prime is 14132134483. The next prime is 14132134531. The reversal of 14132134500 is 543123141.

It is a happy 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, 142569 + ... + 220431.

Almost surely, 214132134500 is an apocalyptic number.

14132134500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14132134500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22617311808).

14132134500 is an abundant number, since it is smaller than the sum of its proper divisors (31102489116).

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

14132134500 is a wasteful number, since it uses less digits than its factorization.

14132134500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77907 (or 77884 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 14132134500 its reverse (543123141), we get a palindrome (14675257641).

The spelling of 14132134500 in words is "fourteen billion, one hundred thirty-two million, one hundred thirty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 125 132 150 165 220 242 250 275 300 330 363 375 484 500 550 605 660 726 750 825 1100 1210 1375 1452 1500 1650 1815 2420 2750 3025 3300 3630 4125 5500 6050 7260 8250 9075 12100 15125 16500 18150 30250 36300 45375 60500 77863 90750 155726 181500 233589 311452 389315 467178 778630 856493 934356 1167945 1557260 1712986 1946575 2335890 2569479 3425972 3893150 4282465 4671780 5138958 5839725 7786300 8564930 9421423 9732875 10277916 11679450 12847395 17129860 18842846 19465750 21412325 23358900 25694790 28264269 29198625 37685692 38931500 42824650 47107115 51389580 56528538 58397250 64236975 85649300 94214230 107061625 113057076 116794500 128473950 141321345 188428460 214123250 235535575 256947900 282642690 321184875 428246500 471071150 565285380 642369750 706606725 942142300 1177677875 1284739500 1413213450 2355355750 2826426900 3533033625 4710711500 7066067250 14132134500