Search a number
-
+
14322043400 = 2352723147143
BaseRepresentation
bin11010101011010100…
…10000101000001000
31100222010110012001212
431111222100220020
5213312420342100
610325055032252
71014625234400
oct152552205010
940863405055
1014322043400
11608a469205
12293850b688
1314732571c2
1499c187800
1558c548635
hex355a90a08

14322043400 has 144 divisors (see below), whose sum is σ = 39985655040. Its totient is φ = 4751913600.

The previous prime is 14322043387. The next prime is 14322043427. The reversal of 14322043400 is 434022341.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 280229 + ... + 327371.

It is an arithmetic number, because the mean of its divisors is an integer number (277678160).

Almost surely, 214322043400 is an apocalyptic number.

14322043400 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 14322043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19992827520).

14322043400 is an abundant number, since it is smaller than the sum of its proper divisors (25663611640).

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

14322043400 is a wasteful number, since it uses less digits than its factorization.

14322043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47204 (or 47188 counting only the distinct ones).

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

Adding to 14322043400 its reverse (434022341), we get a palindrome (14756065741).

The spelling of 14322043400 in words is "fourteen billion, three hundred twenty-two million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 49 50 56 62 70 98 100 124 140 155 175 196 200 217 245 248 280 310 350 392 434 490 620 700 775 868 980 1085 1225 1240 1400 1519 1550 1736 1960 2170 2450 3038 3100 4340 4900 5425 6076 6200 7595 8680 9800 10850 12152 15190 21700 30380 37975 43400 47143 60760 75950 94286 151900 188572 235715 303800 330001 377144 471430 660002 942860 1178575 1320004 1461433 1650005 1885720 2310007 2357150 2640008 2922866 3300010 4620014 4714300 5845732 6600020 7307165 8250025 9240028 9428600 10230031 11550035 11691464 13200040 14614330 16500050 18480056 20460062 23100070 29228660 33000100 36535825 40920124 46200140 51150155 57750175 58457320 66000200 71610217 73071650 81840248 92400280 102300310 115500350 143220434 146143300 204600620 231000700 255750775 286440868 292286600 358051085 409201240 462001400 511501550 572881736 716102170 1023003100 1432204340 1790255425 2046006200 2864408680 3580510850 7161021700 14322043400