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3113424444 = 2231379257983
BaseRepresentation
bin1011100110010011…
…0001011000111100
322000222110100102110
42321210301120330
522334014040234
61232535254020
7140103446124
oct27144613074
98028410373
103113424444
1113584a0959
1272a81a310
133a80484b0
142176cdc84
151334eb1e9
hexb993163c

3113424444 has 96 divisors (see below), whose sum is σ = 7961425920. Its totient is φ = 941211648.

The previous prime is 3113424397. The next prime is 3113424449. The reversal of 3113424444 is 4444243113.

3113424444 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113424449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3166777 + ... + 3167759.

It is an arithmetic number, because the mean of its divisors is an integer number (82931520).

Almost surely, 23113424444 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 3113424444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980712960).

3113424444 is an abundant number, since it is smaller than the sum of its proper divisors (4848001476).

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

3113424444 is a wasteful number, since it uses less digits than its factorization.

3113424444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1337 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 3113424444 is about 55798.0684611932. The cubic root of 3113424444 is about 1460.2014552813.

Adding to 3113424444 its reverse (4444243113), we get a palindrome (7557667557).

The spelling of 3113424444 in words is "three billion, one hundred thirteen million, four hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 79 156 158 237 257 316 474 514 771 948 983 1027 1028 1542 1966 2054 2949 3081 3084 3341 3932 4108 5898 6162 6682 10023 11796 12324 12779 13364 20046 20303 25558 38337 40092 40606 51116 60909 76674 77657 81212 121818 153348 155314 232971 243636 252631 263939 310628 465942 505262 527878 757893 791817 931884 1009541 1010524 1055756 1515786 1583634 2019082 3028623 3031572 3167268 3284203 4038164 6057246 6568406 9852609 12114492 13136812 19705218 19957849 39410436 39915698 59873547 79831396 119747094 239494188 259452037 518904074 778356111 1037808148 1556712222 3113424444