Search a number
-
+
20440340440 = 23513211172707
BaseRepresentation
bin10011000010010101…
…101101011111011000
31221202112002212202221
4103002111231133120
5313330211343230
613220135233424
71322350012162
oct230225553730
957675085687
1020440340440
11873a048343
123b65518874
131c099a1a00
14dbc98b932
157e974c27a
hex4c256d7d8

20440340440 has 96 divisors (see below), whose sum is σ = 49863649680. Its totient is φ = 7537660416.

The previous prime is 20440340413. The next prime is 20440340447. The reversal of 20440340440 is 4404304402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20440340447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7549567 + ... + 7552273.

Almost surely, 220440340440 is an apocalyptic number.

20440340440 is a gapful number since it is divisible by the number (20) 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 20440340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24931824840).

20440340440 is an abundant number, since it is smaller than the sum of its proper divisors (29423309240).

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

20440340440 is a wasteful number, since it uses less digits than its factorization.

20440340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3844 counting only the distinct ones).

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

Adding to 20440340440 its reverse (4404304402), we get a palindrome (24844644842).

The spelling of 20440340440 in words is "twenty billion, four hundred forty million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1117 1352 1690 2234 2707 3380 4468 5414 5585 6760 8936 10828 11170 13535 14521 21656 22340 27070 29042 35191 44680 54140 58084 70382 72605 108280 116168 140764 145210 175955 188773 281528 290420 351910 377546 457483 580840 703820 755092 914966 943865 1407640 1510184 1829932 1887730 2287415 3023719 3659864 3775460 4574830 6047438 7550920 9149660 12094876 15118595 18299320 24189752 30237190 39308347 60474380 78616694 120948760 157233388 196541735 314466776 393083470 511008511 786166940 1022017022 1572333880 2044034044 2555042555 4088068088 5110085110 10220170220 20440340440