Search a number
-
+
41110401114 = 2323771869399
BaseRepresentation
bin100110010010010111…
…101111000001011010
310221010001110202110200
4212102113233001122
51133143230313424
630515202323030
72653516433556
oct462227570132
9127101422420
1041110401114
1116486827912
127b73959476
133b52135543
141dbdc56866
1511092248c9
hex9925ef05a

41110401114 has 48 divisors (see below), whose sum is σ = 92768457600. Its totient is φ = 13145297760.

The previous prime is 41110401047. The next prime is 41110401119.

41110401114 is a `hidden beast` number, since 41 + 110 + 401 + 114 = 666.

41110401114 is nontrivially palindromic in base 10.

41110401114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (41110401119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387414 + ... + 481985.

It is an arithmetic number, because the mean of its divisors is an integer number (1932676200).

Almost surely, 241110401114 is an apocalyptic number.

41110401114 is an abundant number, since it is smaller than the sum of its proper divisors (51658056486).

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

41110401114 is a wasteful number, since it uses less digits than its factorization.

41110401114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869515 (or 869512 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 41110401114 in words is "forty-one billion, one hundred ten million, four hundred one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 37 71 74 111 142 213 222 333 426 639 666 1278 2627 5254 7881 15762 23643 47286 869399 1738798 2608197 5216394 7824591 15649182 32167763 61727329 64335526 96503289 123454658 185181987 193006578 289509867 370363974 555545961 579019734 1111091922 2283911173 4567822346 6851733519 13703467038 20555200557 41110401114