Search a number
-
+
14742116200 = 2352710530083
BaseRepresentation
bin11011011101011001…
…01101011101101000
31102001101220002121201
431232230231131220
5220142440204300
610434502413544
71031215630420
oct155654553550
942041802551
1014742116200
1162855a4109
122a351312b4
13150c2a60a6
149dbc95480
155b437466a
hex36eb2d768

14742116200 has 48 divisors (see below), whose sum is σ = 39171912480. Its totient is φ = 5054439360.

The previous prime is 14742116171. The next prime is 14742116203. The reversal of 14742116200 is 261124741.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (14742116203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5263642 + ... + 5266441.

It is an arithmetic number, because the mean of its divisors is an integer number (816081510).

Almost surely, 214742116200 is an apocalyptic number.

14742116200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14742116200 is an abundant number, since it is smaller than the sum of its proper divisors (24429796280).

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

14742116200 is a wasteful number, since it uses less digits than its factorization.

14742116200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10530106 (or 10530097 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 14742116200 in words is "fourteen billion, seven hundred forty-two million, one hundred sixteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 10530083 21060166 42120332 52650415 73710581 84240664 105300830 147421162 210601660 263252075 294842324 368552905 421203320 526504150 589684648 737105810 1053008300 1474211620 1842764525 2106016600 2948423240 3685529050 7371058100 14742116200