Search a number
-
+
14122321300140 = 22351665714130517
BaseRepresentation
bin1100110110000001101111…
…1100011100101010101100
31212000002011212000211102020
43031200123330130222230
53322340003223101030
650011412125030140
72655206200266624
oct315403374345254
955002155024366
1014122321300140
114555274229979
1217010009b5350
137b59630305a1
1436b749bc9884
15197549a81510
hexcd81bf1caac

14122321300140 has 48 divisors (see below), whose sum is σ = 39544876365792. Its totient is φ = 3765725991936.

The previous prime is 14122321300097. The next prime is 14122321300147. The reversal of 14122321300140 is 4100312322141.

It is a self number, because there is not a number n which added to its sum of digits gives 14122321300140.

It is not an unprimeable number, because it can be changed into a prime (14122321300147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6065839 + ... + 8064678.

It is an arithmetic number, because the mean of its divisors is an integer number (823851590954).

Almost surely, 214122321300140 is an apocalyptic number.

14122321300140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14122321300140 is an abundant number, since it is smaller than the sum of its proper divisors (25422555065652).

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

14122321300140 is a wasteful number, since it uses less digits than its factorization.

14122321300140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14147186 (or 14147184 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14122321300140 its reverse (4100312322141), we get a palindrome (18222633622281).

The spelling of 14122321300140 in words is "fourteen trillion, one hundred twenty-two billion, three hundred twenty-one million, three hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 16657 33314 49971 66628 83285 99942 166570 199884 249855 333140 499710 999420 14130517 28261034 42391551 56522068 70652585 84783102 141305170 169566204 211957755 282610340 423915510 847831020 235372021669 470744043338 706116065007 941488086676 1176860108345 1412232130014 2353720216690 2824464260028 3530580325035 4707440433380 7061160650070 14122321300140