Search a number
-
+
4113131054304 = 253269159275521
BaseRepresentation
bin111011110110101001101…
…101110010010011100000
3112120012201011201201100110
4323312221231302103200
51014342143022214204
612425314001051320
7603110136050556
oct73665155622340
915505634651313
104113131054304
111346407284168
1256519b326b40
1323ab35ba449c
141031102c1bd6
1571ed2dd2889
hex3bda9b724e0

4113131054304 has 48 divisors (see below), whose sum is σ = 10837106516880. Its totient is φ = 1365946859520.

The previous prime is 4113131054281. The next prime is 4113131054369. The reversal of 4113131054304 is 4034501313114.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 79611937 + ... + 79663584.

It is an arithmetic number, because the mean of its divisors is an integer number (225773052435).

Almost surely, 24113131054304 is an apocalyptic number.

It is an amenable number.

4113131054304 is an abundant number, since it is smaller than the sum of its proper divisors (6723975462576).

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

4113131054304 is a wasteful number, since it uses less digits than its factorization.

4113131054304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159275803 (or 159275795 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 4113131054304 its reverse (4034501313114), we get a palindrome (8147632367418).

The spelling of 4113131054304 in words is "four trillion, one hundred thirteen billion, one hundred thirty-one million, fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 269 538 807 1076 1614 2152 3228 4304 6456 8608 12912 25824 159275521 318551042 477826563 637102084 955653126 1274204168 1911306252 2548408336 3822612504 5096816672 7645225008 15290450016 42845115149 85690230298 128535345447 171380460596 257070690894 342760921192 514141381788 685521842384 1028282763576 1371043684768 2056565527152 4113131054304