Search a number
-
+
31233043040 = 2553133491787
BaseRepresentation
bin11101000101101000…
…100110101001100000
32222121200110222102212
4131011220212221200
51002431124334130
622203120301252
72153661325343
oct350550465140
988550428385
1031233043040
1112278269571
126077a71828
132c39988674
1417240da45a
15c2bedee95
hex745a26a60

31233043040 has 96 divisors (see below), whose sum is σ = 74277453600. Its totient is φ = 12410671104.

The previous prime is 31233043031. The next prime is 31233043073. The reversal of 31233043040 is 4034033213.

It is a junction number, because it is equal to n+sod(n) for n = 31233042997 and 31233043015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17477027 + ... + 17478813.

It is an arithmetic number, because the mean of its divisors is an integer number (773723475).

Almost surely, 231233043040 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 31233043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37138726800).

31233043040 is an abundant number, since it is smaller than the sum of its proper divisors (43044410560).

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

31233043040 is a wasteful number, since it uses less digits than its factorization.

31233043040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 31233043040 its reverse (4034033213), we get a palindrome (35267076253).

The spelling of 31233043040 in words is "thirty-one billion, two hundred thirty-three million, forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 313 349 626 698 1252 1396 1565 1745 1787 2504 2792 3130 3490 3574 5008 5584 6260 6980 7148 8935 10016 11168 12520 13960 14296 17870 25040 27920 28592 35740 50080 55840 57184 71480 109237 142960 218474 285920 436948 546185 559331 623663 873896 1092370 1118662 1247326 1747792 2184740 2237324 2494652 2796655 3118315 3495584 4369480 4474648 4989304 5593310 6236630 8738960 8949296 9978608 11186620 12473260 17477920 17898592 19957216 22373240 24946520 44746480 49893040 89492960 99786080 195206519 390413038 780826076 976032595 1561652152 1952065190 3123304304 3904130380 6246608608 7808260760 15616521520 31233043040