Search a number
-
+
14322422422341 = 3211197949957889
BaseRepresentation
bin1101000001101011001011…
…1001101001101101000101
31212201012200020121001111100
43100122302321221231011
53334124310120003331
650243344030330313
73005521656621555
oct320326271515505
955635606531440
1014322422422341
114622118088740
121733946359999
137cb7a2296c87
143772cd4b1165
1519c85bd2cae6
hexd06b2e69b45

14322422422341 has 48 divisors (see below), whose sum is σ = 23759503560000. Its totient is φ = 8222357329920.

The previous prime is 14322422422327. The next prime is 14322422422351.

14322422422341 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 2 + 422 + 4 + 223 + 4 + 1 = 666.

14322422422341 is nontrivially palindromic in base 10.

14322422422341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14322422422341 - 25 = 14322422422309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14322422422296 and 14322422422305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14322422422351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14473125 + ... + 15431013.

It is an arithmetic number, because the mean of its divisors is an integer number (494989657500).

Almost surely, 214322422422341 is an apocalyptic number.

14322422422341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14322422422341 is a deficient number, since it is larger than the sum of its proper divisors (9437081137659).

14322422422341 is a wasteful number, since it uses less digits than its factorization.

14322422422341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965874 (or 965871 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 1432242 and 2422341, that added together give a palindrome (3854583).

The spelling of 14322422422341 in words is "fourteen trillion, three hundred twenty-two billion, four hundred twenty-two million, four hundred twenty-two thousand, three hundred forty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 7949 23847 71541 87439 151031 262317 453093 786951 957889 1359279 1661341 2873667 4984023 8621001 10536779 14952069 18199891 31610337 54599673 94831011 163799019 200198801 600596403 1801789209 7614259661 22842778983 68528336949 83756856271 144670933559 251270568813 434012800677 753811706439 1302038402031 1591380269149 4774140807447 14322422422341