Search a number
-
+
221414114023120 = 2456318434380323
BaseRepresentation
bin110010010101111111111101…
…100111010101011011010000
31002000221222112022010000121001
4302111333331213111123100
5213010122101142214440
62102524123442511344
764431433103244064
oct6225777547253320
91060858468100531
10221414114023120
1164605220126097
12209bb656965554
13967135229bc45
143c96700b65aa4
151a8e7511dcb9a
hexc95ffd9d56d0

221414114023120 has 40 divisors (see below), whose sum is σ = 514788747366816. Its totient is φ = 88565485219968.

The previous prime is 221414114023019. The next prime is 221414114023159. The reversal of 221414114023120 is 21320411414122.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48357279 + ... + 52737601.

Almost surely, 2221414114023120 is an apocalyptic number.

221414114023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221414114023120 is an abundant number, since it is smaller than the sum of its proper divisors (293374633343696).

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

221414114023120 is a wasteful number, since it uses less digits than its factorization.

221414114023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012179 (or 5012173 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 221414114023120 its reverse (21320411414122), we get a palindrome (242734525437242).

The spelling of 221414114023120 in words is "two hundred twenty-one trillion, four hundred fourteen billion, one hundred fourteen million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 631843 1263686 2527372 3159215 4380323 5054744 6318430 8760646 10109488 12636860 17521292 21901615 25273720 35042584 43803230 50547440 70085168 87606460 175212920 350425840 2767676425289 5535352850578 11070705701156 13838382126445 22141411402312 27676764252890 44282822804624 55353528505780 110707057011560 221414114023120