Search a number
-
+
20201324204440 = 2352925516826709
BaseRepresentation
bin1001001011111011111001…
…10000001101000110011000
32122112020011000110202011001
410211331330300031012120
510121434302444020230
6110544205450314344
74153332434356141
oct445757460150630
978466130422131
1020201324204440
116489373958675
12232319a7289b4
13b36c90a63c22
144dba6c160ac8
152507396cc0ca
hex125f7cc0d198

20201324204440 has 64 divisors (see below), whose sum is σ = 47038762584000. Its totient is φ = 7798831219200.

The previous prime is 20201324204437. The next prime is 20201324204447. The reversal of 20201324204440 is 4440242310202.

It is a super-2 number, since 2×202013242044402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20201324204399 and 20201324204408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201324204447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454195 + ... + 6372514.

It is an arithmetic number, because the mean of its divisors is an integer number (734980665375).

Almost surely, 220201324204440 is an apocalyptic number.

20201324204440 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 20201324204440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23519381292000).

20201324204440 is an abundant number, since it is smaller than the sum of its proper divisors (26837438379560).

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

20201324204440 is a wasteful number, since it uses less digits than its factorization.

20201324204440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6829300 (or 6829296 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 20201324204440 its reverse (4440242310202), we get a palindrome (24641566514642).

The spelling of 20201324204440 in words is "twenty trillion, two hundred one billion, three hundred twenty-four million, two hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 2551 5102 10204 12755 20408 25510 51020 73979 102040 147958 295916 369895 591832 739790 1479580 2959160 6826709 13653418 27306836 34133545 54613672 68267090 136534180 197974561 273068360 395949122 791898244 989872805 1583796488 1979745610 3959491220 7918982440 17414934659 34829869318 69659738636 87074673295 139319477272 174149346590 348298693180 505033105111 696597386360 1010066210222 2020132420444 2525165525555 4040264840888 5050331051110 10100662102220 20201324204440