Search a number
-
+
1414583493664 = 251133112141097
BaseRepresentation
bin10100100101011011101…
…111110010010000100000
312000020021202102000212211
4110211123233302100200
5141134031333244124
63001503425331504
7204125461206205
oct24453357622040
95006252360784
101414583493664
114a5a1555a9a0
121aa1a5196b94
13a3519082473
144c6753adcac
1526be35eee94
hex1495bbf2420

1414583493664 has 48 divisors (see below), whose sum is σ = 3047318469216. Its totient is φ = 641049868800.

The previous prime is 1414583493649. The next prime is 1414583493707. The reversal of 1414583493664 is 4663943854141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1414583493599 and 1414583493608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5954037 + ... + 6187060.

It is an arithmetic number, because the mean of its divisors is an integer number (63485801442).

Almost surely, 21414583493664 is an apocalyptic number.

It is an amenable number.

1414583493664 is an abundant number, since it is smaller than the sum of its proper divisors (1632734975552).

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

1414583493664 is a wasteful number, since it uses less digits than its factorization.

1414583493664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12141449 (or 12141441 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 58.

The spelling of 1414583493664 in words is "one trillion, four hundred fourteen billion, five hundred eighty-three million, four hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 331 352 662 1324 2648 3641 5296 7282 10592 14564 29128 58256 116512 12141097 24282194 48564388 97128776 133552067 194257552 267104134 388515104 534208268 1068416536 2136833072 4018703107 4273666144 8037406214 16074812428 32149624856 44205734177 64299249712 88411468354 128598499424 176822936708 353645873416 707291746832 1414583493664