Search a number
-
+
42311434110 = 235112311349333
BaseRepresentation
bin100111011001111101…
…010011111101111110
311001012202102120000020
4213121331103331332
51143123211342420
631234304513010
73025342153521
oct473175237576
9131182376006
1042311434110
1116a42779770
12824a01b766
133cb3bcbc5a
142095574bb8
1511798b6340
hex9d9f53f7e

42311434110 has 128 divisors (see below), whose sum is σ = 116620839936. Its totient is φ = 9724323840.

The previous prime is 42311434057. The next prime is 42311434111. The reversal of 42311434110 is 1143411324.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42311434111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 833004 + ... + 882336.

It is an arithmetic number, because the mean of its divisors is an integer number (911100312).

Almost surely, 242311434110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42311434110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58310419968).

42311434110 is an abundant number, since it is smaller than the sum of its proper divisors (74309405826).

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

42311434110 is a wasteful number, since it uses less digits than its factorization.

42311434110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49490.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 42311434110 its reverse (1143411324), we get a palindrome (43454845434).

It can be divided in two parts, 4231 and 1434110, that added together give a palindrome (1438341).

The spelling of 42311434110 in words is "forty-two billion, three hundred eleven million, four hundred thirty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 113 115 138 165 226 230 253 330 339 345 506 565 678 690 759 1130 1243 1265 1518 1695 2486 2530 2599 3390 3729 3795 5198 6215 7458 7590 7797 12430 12995 15594 18645 25990 28589 37290 38985 49333 57178 77970 85767 98666 142945 147999 171534 246665 285890 295998 428835 493330 542663 739995 857670 1085326 1134659 1479990 1627989 2269318 2713315 3255978 3403977 5426630 5574629 5673295 6807954 8139945 11149258 11346590 12481249 16279890 16723887 17019885 24962498 27873145 33447774 34039770 37443747 55746290 61320919 62406245 74887494 83619435 122641838 124812490 128216467 167238870 183962757 187218735 256432934 306604595 367925514 374437470 384649401 613209190 641082335 769298802 919813785 1282164670 1410381137 1839627570 1923247005 2820762274 3846494010 4231143411 7051905685 8462286822 14103811370 21155717055 42311434110