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14032434200 = 2352892712909
BaseRepresentation
bin11010001000110010…
…11111010000011000
31100012221111111221012
431010121133100120
5212214300343300
610240231433052
71004510502611
oct150431372030
940187444835
1014032434200
115a50a41564
122877525788
131428256b05
1497191ac08
15571ddd435
hex34465f418

14032434200 has 96 divisors (see below), whose sum is σ = 33125112000. Its totient is φ = 5527526400.

The previous prime is 14032434167. The next prime is 14032434203. The reversal of 14032434200 is 243423041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14032434203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4822346 + ... + 4825254.

It is an arithmetic number, because the mean of its divisors is an integer number (345053250).

Almost surely, 214032434200 is an apocalyptic number.

14032434200 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 14032434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16562556000).

14032434200 is an abundant number, since it is smaller than the sum of its proper divisors (19092677800).

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

14032434200 is a wasteful number, since it uses less digits than its factorization.

14032434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 14032434200 its reverse (243423041), we get a palindrome (14275857241).

The spelling of 14032434200 in words is "fourteen billion, thirty-two million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 271 356 445 542 712 890 1084 1355 1780 2168 2225 2710 2909 3560 4450 5420 5818 6775 8900 10840 11636 13550 14545 17800 23272 24119 27100 29090 48238 54200 58180 72725 96476 116360 120595 145450 192952 241190 258901 290900 482380 517802 581800 602975 788339 964760 1035604 1205950 1294505 1576678 2071208 2411900 2589010 3153356 3941695 4823800 5178020 6306712 6472525 7883390 10356040 12945050 15766780 19708475 25890100 31533560 39416950 51780200 70162171 78833900 140324342 157667800 280648684 350810855 561297368 701621710 1403243420 1754054275 2806486840 3508108550 7016217100 14032434200