Search a number
-
+
14112551310240 = 2535431049651809
BaseRepresentation
bin1100110101011101010110…
…0110111001001110100000
31211222010221222001220211110
43031113111212321032200
53322210001113411430
650003114440143320
72654412114612225
oct315272546711640
954863858056743
1014112551310240
114551110334959
1216bb134a67b40
137b4a66ba6b86
1436b0a041b94c
15197176ea97b0
hexcd5d59b93a0

14112551310240 has 192 divisors, whose sum is σ = 45531796464000. Its totient is φ = 3672317558784.

The previous prime is 14112551310199. The next prime is 14112551310289. The reversal of 14112551310240 is 4201315521141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14112551310198 and 14112551310207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21325456 + ... + 21977264.

It is an arithmetic number, because the mean of its divisors is an integer number (237144773250).

Almost surely, 214112551310240 is an apocalyptic number.

14112551310240 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 14112551310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22765898232000).

14112551310240 is an abundant number, since it is smaller than the sum of its proper divisors (31419245153760).

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

14112551310240 is a wasteful number, since it uses less digits than its factorization.

14112551310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652919 (or 652911 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 14112551310240 its reverse (4201315521141), we get a palindrome (18313866831381).

The spelling of 14112551310240 in words is "fourteen trillion, one hundred twelve billion, five hundred fifty-one million, three hundred ten thousand, two hundred forty".