Search a number
-
+
3403311112404 = 2232747331868111
BaseRepresentation
bin110001100001100101001…
…001100110000011010100
3110001100112121021120202200
4301201211021212003110
5421224440121044104
611123243132204500
7500611136102040
oct61414511460324
913040477246680
103403311112404
1110a2377442905
1246b702009730
131b8c14141548
14baa14b29020
155d7dbb87b39
hex318652660d4

3403311112404 has 144 divisors (see below), whose sum is σ = 10071321501696. Its totient is φ = 948809505600.

The previous prime is 3403311112403. The next prime is 3403311112459. The reversal of 3403311112404 is 4042111133043.

3403311112404 is a `hidden beast` number, since 3 + 403 + 3 + 1 + 1 + 11 + 240 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3403311112403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3486309 + ... + 4354419.

Almost surely, 23403311112404 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 3403311112404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5035660750848).

3403311112404 is an abundant number, since it is smaller than the sum of its proper divisors (6668010389292).

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

3403311112404 is a wasteful number, since it uses less digits than its factorization.

3403311112404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868506 (or 868501 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 3403311112404 its reverse (4042111133043), we get a palindrome (7445422245447).

The spelling of 3403311112404 in words is "three trillion, four hundred three billion, three hundred eleven million, one hundred twelve thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 331 423 564 658 662 846 987 993 1316 1324 1692 1974 1986 2317 2961 2979 3948 3972 4634 5922 5958 6951 9268 11844 11916 13902 15557 20853 27804 31114 41706 46671 62228 83412 93342 108899 140013 186684 217798 280026 326697 435596 560052 653394 868111 980091 1306788 1736222 1960182 2604333 3472444 3920364 5208666 6076777 7812999 10417332 12153554 15625998 18230331 24307108 31251996 36460662 40801217 54690993 72921324 81602434 109381986 122403651 163204868 218763972 244807302 285608519 287344741 367210953 489614604 571217038 574689482 734421906 856825557 862034223 1142434076 1149378964 1468843812 1713651114 1724068446 2011413187 2570476671 2586102669 3427302228 3448136892 4022826374 5140953342 5172205338 6034239561 8045652748 10281906684 10344410676 12068479122 13505202827 18102718683 24136958244 27010405654 36205437366 40515608481 54020811308 72410874732 81031216962 94536419789 121546825443 162062433924 189072839578 243093650886 283609259367 378145679156 486187301772 567218518734 850827778101 1134437037468 1701655556202 3403311112404