Search a number
-
+
41101430123232 = 2532142713299039
BaseRepresentation
bin10010101100001101011000…
…01001000110101011100000
312101112020222100000120022100
421112012230021012223200
520341401212102420412
6223225423014210400
711441323516444533
oct1126065411065340
9171466870016270
1041101430123232
1112107022879896
124739895953a00
1319c1b0473a5ab
14a21469896a1a
154b4221012edc
hex2561ac246ae0

41101430123232 has 36 divisors (see below), whose sum is σ = 116882191913760. Its totient is φ = 13700476707648.

The previous prime is 41101430123227. The next prime is 41101430123261. The reversal of 41101430123232 is 23232103410114.

41101430123232 is a `hidden beast` number, since 4 + 1 + 101 + 4 + 301 + 23 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×411014301232322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41101430123196 and 41101430123205.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 71356649232 + ... + 71356649807.

It is an arithmetic number, because the mean of its divisors is an integer number (3246727553160).

Almost surely, 241101430123232 is an apocalyptic number.

It is an amenable number.

41101430123232 is an abundant number, since it is smaller than the sum of its proper divisors (75780761790528).

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

41101430123232 is a wasteful number, since it uses less digits than its factorization.

41101430123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142713299055 (or 142713299044 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 41101430123232 its reverse (23232103410114), we get a palindrome (64333533533346).

The spelling of 41101430123232 in words is "forty-one trillion, one hundred one billion, four hundred thirty million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 142713299039 285426598078 428139897117 570853196156 856279794234 1141706392312 1284419691351 1712559588468 2283412784624 2568839382702 3425119176936 4566825569248 5137678765404 6850238353872 10275357530808 13700476707744 20550715061616 41101430123232