Search a number
-
+
3113022435552 = 253259211868271
BaseRepresentation
bin101101010011001110100…
…110001011000011100000
3102000121020212220212221200
4231103032212023003200
5402000432220414202
610342034110321200
7440623412052021
oct55231646130340
912017225825850
103113022435552
11aa0253010407
124233a8ab9200
131977312681c3
14aa957682c48
1555e9bd62e1c
hex2d4ce98b0e0

3113022435552 has 144 divisors (see below), whose sum is σ = 9045379848960. Its totient is φ = 1015250745600.

The previous prime is 3113022435547. The next prime is 3113022435559. The reversal of 3113022435552 is 2555342203113.

3113022435552 is a `hidden beast` number, since 3 + 1 + 1 + 30 + 224 + 355 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113022435559) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3151177 + ... + 4019447.

It is an arithmetic number, because the mean of its divisors is an integer number (62815137840).

Almost surely, 23113022435552 is an apocalyptic number.

3113022435552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113022435552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4522689924480).

3113022435552 is an abundant number, since it is smaller than the sum of its proper divisors (5932357413408).

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

3113022435552 is a wasteful number, since it uses less digits than its factorization.

3113022435552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868557 (or 868546 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 3113022435552 its reverse (2555342203113), we get a palindrome (5668364638665).

The spelling of 3113022435552 in words is "three trillion, one hundred thirteen billion, twenty-two million, four hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 211 236 288 354 422 472 531 633 708 844 944 1062 1266 1416 1688 1888 1899 2124 2532 2832 3376 3798 4248 5064 5664 6752 7596 8496 10128 12449 15192 16992 20256 24898 30384 37347 49796 60768 74694 99592 112041 149388 199184 224082 298776 398368 448164 597552 868271 896328 1195104 1736542 1792656 2604813 3473084 3585312 5209626 6946168 7814439 10419252 13892336 15628878 20838504 27784672 31257756 41677008 51227989 62515512 83354016 102455978 125031024 153683967 183205181 204911956 250062048 307367934 366410362 409823912 461051901 549615543 614735868 732820724 819647824 922103802 1099231086 1229471736 1465641448 1639295648 1648846629 1844207604 2198462172 2458943472 2931282896 3297693258 3688415208 4396924344 4917886944 5862565792 6595386516 7376830416 8793848688 10809105679 13190773032 14753660832 17587697376 21618211358 26381546064 32427317037 43236422716 52763092128 64854634074 86472845432 97281951111 129709268148 172945690864 194563902222 259418536296 345891381728 389127804444 518837072592 778255608888 1037674145184 1556511217776 3113022435552