Search a number
-
+
14322011240140 = 2251750386397039
BaseRepresentation
bin1101000001101001101001…
…1001000111011011001100
31212201011121120212211112221
43100122122121013123030
53334122434334141030
650243235141305124
73005505534624622
oct320323231073314
955634546784487
1014322011240140
114621a26a7543a
1217338507051a4
137cb73803b9b6
14377290a39512
1519c835baae7a
hexd069a6476cc

14322011240140 has 96 divisors (see below), whose sum is σ = 31946027581440. Its totient is φ = 5374805953536.

The previous prime is 14322011240113. The next prime is 14322011240167. The reversal of 14322011240140 is 4104211022341.

It is an interprime number because it is at equal distance from previous prime (14322011240113) and next prime (14322011240167).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147541741 + ... + 147638779.

It is an arithmetic number, because the mean of its divisors is an integer number (332771120640).

Almost surely, 214322011240140 is an apocalyptic number.

14322011240140 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 14322011240140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15973013790720).

14322011240140 is an abundant number, since it is smaller than the sum of its proper divisors (17624016341300).

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

14322011240140 is a wasteful number, since it uses less digits than its factorization.

14322011240140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98431 (or 98429 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 14322011240140 its reverse (4104211022341), we get a palindrome (18426222262481).

The spelling of 14322011240140 in words is "fourteen trillion, three hundred twenty-two billion, eleven million, two hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 503 863 1006 1726 2012 2515 3452 4315 5030 8551 8630 10060 14671 17102 17260 29342 34204 42755 58684 73355 85510 97039 146710 171020 194078 293420 388156 434089 485195 868178 970390 1649663 1736356 1940780 2170445 3299326 4340890 6598652 7379513 8248315 8681780 14759026 16496630 29518052 32993260 36897565 48810617 73795130 83744657 97621234 147590260 167489314 195242468 244053085 334978628 418723285 488106170 829780489 837446570 976212340 1423659169 1659560978 1674893140 2847318338 3319121956 4148902445 5694636676 7118295845 8297804890 14236591690 16595609780 28473183380 42123562471 84247124942 168494249884 210617812355 421235624710 716100562007 842471249420 1432201124014 2864402248028 3580502810035 7161005620070 14322011240140