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20330434440 = 2332567842887
BaseRepresentation
bin10010111011110010…
…011100111110001000
31221110212022002002100
4102323302130332020
5313114042400230
613201211433400
71316543561421
oct227362347610
957425262070
1020330434440
118693000338
123b34755860
131bbcca0384
14dac13c648
157dec8c660
hex4bbc9cf88

20330434440 has 96 divisors (see below), whose sum is σ = 67060169280. Its totient is φ = 5340525696.

The previous prime is 20330434433. The next prime is 20330434463. The reversal of 20330434440 is 4443403302.

It is a super-2 number, since 2×203304344402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397324 + ... + 445563.

It is an arithmetic number, because the mean of its divisors is an integer number (698543430).

Almost surely, 220330434440 is an apocalyptic number.

20330434440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20330434440 is an abundant number, since it is smaller than the sum of its proper divisors (46729734840).

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

20330434440 is a wasteful number, since it uses less digits than its factorization.

20330434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842971 (or 842964 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 20330434440 its reverse (4443403302), we get a palindrome (24773837742).

The spelling of 20330434440 in words is "twenty billion, three hundred thirty million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1005 1206 1340 1608 2010 2412 2680 3015 4020 4824 6030 8040 12060 24120 842887 1685774 2528661 3371548 4214435 5057322 6743096 7585983 8428870 10114644 12643305 15171966 16857740 20229288 25286610 30343932 33715480 37929915 50573220 56473429 60687864 75859830 101146440 112946858 151719660 169420287 225893716 282367145 303439320 338840574 451787432 508260861 564734290 677681148 847101435 1016521722 1129468580 1355362296 1694202870 2033043444 2258937160 2541304305 3388405740 4066086888 5082608610 6776811480 10165217220 20330434440