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42441413320 = 23523792931993
BaseRepresentation
bin100111100001101101…
…001001001011001000
311001112211000011222001
4213201231021023020
51143410000211240
631255230440344
73031511026615
oct474155111310
9131484004861
1042441413320
1116aaa086aa9
1282856630b4
134004b0b127
1420a892b50c
151185edd89a
hex9e1b492c8

42441413320 has 128 divisors (see below), whose sum is σ = 101301580800. Its totient is φ = 15970166784.

The previous prime is 42441413317. The next prime is 42441413327. The reversal of 42441413320 is 2331414424.

It is not an unprimeable number, because it can be changed into a prime (42441413327) 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, 21294244 + ... + 21296236.

It is an arithmetic number, because the mean of its divisors is an integer number (791418600).

Almost surely, 242441413320 is an apocalyptic number.

42441413320 is a gapful number since it is divisible by the number (40) 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 42441413320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50650790400).

42441413320 is an abundant number, since it is smaller than the sum of its proper divisors (58860167480).

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

42441413320 is a wasteful number, since it uses less digits than its factorization.

42441413320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 42441413320 its reverse (2331414424), we get a palindrome (44772827744).

It can be divided in two parts, 424414 and 13320, that added together give a palindrome (437734).

The spelling of 42441413320 in words is "forty-two billion, four hundred forty-one million, four hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 79 92 115 158 184 230 293 316 395 460 586 632 790 920 1172 1465 1580 1817 1993 2344 2930 3160 3634 3986 5860 6739 7268 7972 9085 9965 11720 13478 14536 15944 18170 19930 23147 26956 33695 36340 39860 45839 46294 53912 67390 72680 79720 91678 92588 115735 134780 157447 183356 185176 229195 231470 269560 314894 366712 458390 462940 532381 583949 629788 787235 916780 925880 1064762 1167898 1259576 1574470 1833560 2129524 2335796 2661905 2919745 3148940 3621281 4259048 4671592 5323810 5839490 6297880 7242562 10647620 11678980 13430827 14485124 18106405 21295240 23357960 26861654 28970248 36212810 46131971 53723308 67154135 72425620 92263942 107446616 134308270 144851240 184527884 230659855 268616540 369055768 461319710 537233080 922639420 1061035333 1845278840 2122070666 4244141332 5305176665 8488282664 10610353330 21220706660 42441413320