Search a number
-
+
14086603072 = 261072119749
BaseRepresentation
bin11010001111010000…
…01000000101000000
31100100201102120122201
431013220020011000
5212322132244242
610245444442544
71006036102423
oct150750100500
940321376581
1014086603072
115a7957a423
1228916a9454
1314365418b9
14978bbb9ba
15576a3d4b7
hex347a08140

14086603072 has 56 divisors (see below), whose sum is σ = 28350972000. Its totient is φ = 6943695360.

The previous prime is 14086603067. The next prime is 14086603079. The reversal of 14086603072 is 27030668041.

It is a super-2 number, since 2×140866030722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14086603079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1440054 + ... + 1449802.

Almost surely, 214086603072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14086603072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14175486000).

14086603072 is an abundant number, since it is smaller than the sum of its proper divisors (14264368928).

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

14086603072 is a wasteful number, since it uses less digits than its factorization.

14086603072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10079 (or 10069 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 14086603072 in words is "fourteen billion, eighty-six million, six hundred three thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 107 211 214 422 428 844 856 1688 1712 3376 3424 6752 6848 9749 13504 19498 22577 38996 45154 77992 90308 155984 180616 311968 361232 623936 722464 1043143 1444928 2057039 2086286 4114078 4172572 8228156 8345144 16456312 16690288 32912624 33380576 65825248 66761152 131650496 220103173 440206346 880412692 1760825384 3521650768 7043301536 14086603072