Search a number
-
+
20040420034024 = 23139713071519939
BaseRepresentation
bin1001000111010000001100…
…00111100000010111101000
32121221211211022212222111221
410203220012013200113220
510111320240012042044
6110342235235431424
74135605201444445
oct443500607402750
977854738788457
1020040420034024
116427104724935
1222b7b74155574
13b24a5a3a0630
144d3d665269cc
1524b46d68c484
hex123a061e05e8

20040420034024 has 64 divisors (see below), whose sum is σ = 40914717681600. Its totient is φ = 9147059841024.

The previous prime is 20040420034009. The next prime is 20040420034051. The reversal of 20040420034024 is 42043002404002.

It is a super-2 number, since 2×200404200340242 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20040420034024.

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, 12425047 + ... + 13944985.

It is an arithmetic number, because the mean of its divisors is an integer number (639292463775).

Almost surely, 220040420034024 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 20040420034024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20457358840800).

20040420034024 is an abundant number, since it is smaller than the sum of its proper divisors (20874297647576).

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

20040420034024 is a wasteful number, since it uses less digits than its factorization.

20040420034024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521362 (or 1521358 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 20040420034024 its reverse (42043002404002), we get a palindrome (62083422438026).

The spelling of 20040420034024 in words is "twenty trillion, forty billion, four hundred twenty million, thirty-four thousand, twenty-four".

Divisors: 1 2 4 8 13 26 52 97 104 194 388 776 1261 1307 2522 2614 5044 5228 10088 10456 16991 33982 67964 126779 135928 253558 507116 1014232 1519939 1648127 3039878 3296254 6079756 6592508 12159512 13185016 19759207 39518414 79036828 147434083 158073656 294868166 589736332 1179472664 1916643079 1986560273 3833286158 3973120546 7666572316 7946241092 15333144632 15892482184 25825283549 51650567098 103301134196 192696346481 206602268392 385392692962 770785385924 1541570771848 2505052504253 5010105008506 10020210017012 20040420034024