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4041011124 = 2232196196851
BaseRepresentation
bin1111000011011100…
…1110111110110100
3101102121212122010200
43300313032332310
531233444323444
61504552520500
7202066012353
oct36067167664
911377778120
104041011124
111794055517
129493b0130
134c5280557
142a498b99a
15189b76969
hexf0dcefb4

4041011124 has 72 divisors (see below), whose sum is σ = 10928779680. Its totient is φ = 1255176000.

The previous prime is 4041011101. The next prime is 4041011153. The reversal of 4041011124 is 4211101404.

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

It is a junction number, because it is equal to n+sod(n) for n = 4041011097 and 4041011106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6702 + ... + 90149.

Almost surely, 24041011124 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 4041011124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5464389840).

4041011124 is an abundant number, since it is smaller than the sum of its proper divisors (6887768556).

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

4041011124 is a wasteful number, since it uses less digits than its factorization.

4041011124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96941 (or 96936 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4041011124 is about 63568.9477968607. The cubic root of 4041011124 is about 1592.8077078821.

Adding to 4041011124 its reverse (4211101404), we get a palindrome (8252112528).

The spelling of 4041011124 in words is "four billion, forty-one million, eleven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 61 76 114 122 171 183 228 244 342 366 549 684 732 1098 1159 2196 2318 3477 4636 6954 10431 13908 20862 41724 96851 193702 290553 387404 581106 871659 1162212 1743318 1840169 3486636 3680338 5520507 5907911 7360676 11041014 11815822 16561521 17723733 22082028 23631644 33123042 35447466 53171199 66246084 70894932 106342398 112250309 212684796 224500618 336750927 449001236 673501854 1010252781 1347003708 2020505562 4041011124