Search a number
-
+
20334341440 = 265721296833
BaseRepresentation
bin10010111100000001…
…010110110101000000
31221111010122120111001
4102330001112311000
5313121042411230
613201431301344
71316622023200
oct227401266500
957433576431
1020334341440
118695229766
123b35b1a854
131bc0a3a7ca
14dac878400
157e02b00ca
hex4bc056d40

20334341440 has 84 divisors (see below), whose sum is σ = 56326687956. Its totient is φ = 6971768832.

The previous prime is 20334341431. The next prime is 20334341441. The reversal of 20334341440 is 4414343302.

It can be written as a sum of positive squares in 2 ways, for example, as 11961359424 + 8372982016 = 109368^2 + 91504^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 20334341399 and 20334341408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20334341441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 632737 + ... + 664096.

It is an arithmetic number, because the mean of its divisors is an integer number (670555809).

Almost surely, 220334341440 is an apocalyptic number.

20334341440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20334341440 is an abundant number, since it is smaller than the sum of its proper divisors (35992346516).

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

20334341440 is a wasteful number, since it uses less digits than its factorization.

20334341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296864 (or 1296847 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 20334341440 its reverse (4414343302), we get a palindrome (24748684742).

The spelling of 20334341440 in words is "twenty billion, three hundred thirty-four million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3920 7840 15680 1296833 2593666 5187332 6484165 9077831 10374664 12968330 18155662 20749328 25936660 36311324 41498656 45389155 51873320 63544817 72622648 82997312 90778310 103746640 127089634 145245296 181556620 207493280 254179268 290490592 317724085 363113240 414986560 508358536 580981184 635448170 726226480 1016717072 1270896340 1452452960 2033434144 2541792680 2904905920 4066868288 5083585360 10167170720 20334341440