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20051301440 = 2651711813121
BaseRepresentation
bin10010101011001001…
…101001010001000000
31220202102001122121002
4102223021221101000
5312031113121230
613113400551132
71306614151532
oct225311512100
956672048532
1020051301440
11855a489605
123a771824a8
131b771ca511
14d8303b852
157c5501545
hex4ab269440

20051301440 has 112 divisors (see below), whose sum is σ = 50614838064. Its totient is φ = 7539916800.

The previous prime is 20051301427. The next prime is 20051301443. The reversal of 20051301440 is 4410315002.

It can be written as a sum of positive squares in 8 ways, for example, as 64128064 + 19987173376 = 8008^2 + 141376^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20051301443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6423080 + ... + 6426200.

It is an arithmetic number, because the mean of its divisors is an integer number (451918197).

Almost surely, 220051301440 is an apocalyptic number.

20051301440 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 20051301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25307419032).

20051301440 is an abundant number, since it is smaller than the sum of its proper divisors (30563536624).

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

20051301440 is a wasteful number, since it uses less digits than its factorization.

20051301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336 (or 4326 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 20051301440 its reverse (4410315002), we get a palindrome (24461616442).

The spelling of 20051301440 in words is "twenty billion, fifty-one million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1181 1360 2362 2720 3121 4724 5440 5905 6242 9448 11810 12484 15605 18896 20077 23620 24968 31210 37792 40154 47240 49936 53057 62420 75584 80308 94480 99872 100385 106114 124840 160616 188960 199744 200770 212228 249680 265285 321232 377920 401540 424456 499360 530570 642464 803080 848912 998720 1061140 1284928 1606160 1697824 2122280 3212320 3395648 3685901 4244560 6424640 7371802 8489120 14743604 16978240 18429505 29487208 36859010 58974416 62660317 73718020 117948832 125320634 147436040 235897664 250641268 294872080 313301585 501282536 589744160 626603170 1002565072 1179488320 1253206340 2005130144 2506412680 4010260288 5012825360 10025650720 20051301440