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20444344305444 = 22324724413494939
BaseRepresentation
bin1001010011000000100011…
…11000010100011100100100
32200101110102111122222212200
410221200101320110130210
510134430004120233234
6111252000242414500
74210024624216143
oct451402170243444
980343374588780
1020444344305444
116572441417454
122362301661430
13b53b7ca37267
1450972396975a
15256c0e84cd99
hex129811e14724

20444344305444 has 72 divisors (see below), whose sum is σ = 52780575818880. Its totient is φ = 6669499403712.

The previous prime is 20444344305419. The next prime is 20444344305499. The reversal of 20444344305444 is 44450344344402.

20444344305444 is a `hidden beast` number, since 2 + 0 + 4 + 44 + 34 + 4 + 30 + 544 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20444344305444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41059327 + ... + 41554265.

It is an arithmetic number, because the mean of its divisors is an integer number (733063553040).

Almost surely, 220444344305444 is an apocalyptic number.

It is an amenable number.

20444344305444 is an abundant number, since it is smaller than the sum of its proper divisors (32336231513436).

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

20444344305444 is a wasteful number, since it uses less digits than its factorization.

20444344305444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519409 (or 519404 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 45.

Adding to 20444344305444 its reverse (44450344344402), we get a palindrome (64894688649846).

The spelling of 20444344305444 in words is "twenty trillion, four hundred forty-four billion, three hundred forty-four million, three hundred five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 24413 48826 73239 97652 146478 219717 292956 439434 494939 878868 989878 1147411 1484817 1979756 2294822 2969634 3442233 4454451 4589644 5939268 6884466 8908902 10326699 13768932 17817804 20653398 23262133 41306796 46524266 69786399 93048532 139572798 209359197 279145596 418718394 837436788 12082945807 24165891614 36248837421 48331783228 72497674842 108746512263 144995349684 217493024526 434986049052 567898452929 1135796905858 1703695358787 2271593811716 3407390717574 5111086076361 6814781435148 10222172152722 20444344305444