Search a number
-
+
41111424312 = 2337376613807
BaseRepresentation
bin100110010010011011…
…101000110100111000
310221010010101202000220
4212102123220310320
51133144011034222
630515240300040
72653531224630
oct462233506470
9127103352026
1041111424312
1116487366632
127b74171620
133b5240319a
141dc00416c0
151109377b5c
hex9926e8d38

41111424312 has 64 divisors (see below), whose sum is σ = 120635857920. Its totient is φ = 11428656768.

The previous prime is 41111424257. The next prime is 41111424323. The reversal of 41111424312 is 21342411114.

It is a happy number.

It is a super-2 number, since 2×411114243122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3300688 + ... + 3313119.

It is an arithmetic number, because the mean of its divisors is an integer number (1884935280).

Almost surely, 241111424312 is an apocalyptic number.

41111424312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

41111424312 is an abundant number, since it is smaller than the sum of its proper divisors (79524433608).

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

41111424312 is a wasteful number, since it uses less digits than its factorization.

41111424312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613860 (or 6613856 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 41111424312 its reverse (21342411114), we get a palindrome (62453835426).

The spelling of 41111424312 in words is "forty-one billion, one hundred eleven million, four hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 6216 6613807 13227614 19841421 26455228 39682842 46296649 52910456 79365684 92593298 138889947 158731368 185186596 244710859 277779894 370373192 489421718 555559788 734132577 978843436 1111119576 1468265154 1712976013 1957686872 2936530308 3425952026 5138928039 5873060616 6851904052 10277856078 13703808104 20555712156 41111424312