Search a number
-
+
14205353200 = 2452311145593
BaseRepresentation
bin11010011101011010…
…00111110011110000
31100122222212201012121
431032231013303300
5213043032300300
610305330004024
71012010336623
oct151655076360
940588781177
1014205353200
11602a608125
122905416614
13145501b94c
1498a88ddba
1558219881a
hex34eb47cf0

14205353200 has 60 divisors (see below), whose sum is σ = 35229306688. Its totient is φ = 5498841600.

The previous prime is 14205353191. The next prime is 14205353251. The reversal of 14205353200 is 235350241.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 560397 + ... + 585196.

Almost surely, 214205353200 is an apocalyptic number.

14205353200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14205353200 is an abundant number, since it is smaller than the sum of its proper divisors (21023953488).

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

14205353200 is a wasteful number, since it uses less digits than its factorization.

14205353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145642 (or 1145631 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 14205353200 in words is "fourteen billion, two hundred five million, three hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 12400 1145593 2291186 4582372 5727965 9164744 11455930 18329488 22911860 28639825 35513383 45823720 57279650 71026766 91647440 114559300 142053532 177566915 229118600 284107064 355133830 458237200 568214128 710267660 887834575 1420535320 1775669150 2841070640 3551338300 7102676600 14205353200