Search a number
-
+
14266470200 = 2352714872063
BaseRepresentation
bin11010100100101100…
…10000111100111000
31100211020212202222012
431102112100330320
5213204204021300
610315351545052
71013351665403
oct152226207470
940736782865
1014266470200
116061061244
12292198b188
13146489a158
14994a3cd3a
1558771c435
hex352590f38

14266470200 has 96 divisors (see below), whose sum is σ = 33722127360. Its totient is φ = 5611939200.

The previous prime is 14266470181. The next prime is 14266470217. The reversal of 14266470200 is 207466241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6914369 + ... + 6916431.

It is an arithmetic number, because the mean of its divisors is an integer number (351272160).

Almost surely, 214266470200 is an apocalyptic number.

14266470200 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 14266470200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16861063680).

14266470200 is an abundant number, since it is smaller than the sum of its proper divisors (19455657160).

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

14266470200 is a wasteful number, since it uses less digits than its factorization.

14266470200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 14266470200 in words is "fourteen billion, two hundred sixty-six million, four hundred seventy thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 487 568 710 974 1420 1775 1948 2063 2435 2840 3550 3896 4126 4870 7100 8252 9740 10315 12175 14200 16504 19480 20630 24350 34577 41260 48700 51575 69154 82520 97400 103150 138308 146473 172885 206300 276616 292946 345770 412600 585892 691540 732365 864425 1004681 1171784 1383080 1464730 1728850 2009362 2929460 3457700 3661825 4018724 5023405 5858920 6915400 7323650 8037448 10046810 14647300 20093620 25117025 29294600 40187240 50234050 71332351 100468100 142664702 200936200 285329404 356661755 570658808 713323510 1426647020 1783308775 2853294040 3566617550 7133235100 14266470200