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44412060634000 = 245323241977373
BaseRepresentation
bin10100001100100011111010…
…00110010000101110010000
312211020202021212101202210121
422012101331012100232100
521310121400010242000
6234242341411440024
712232444156462123
oct1206217506205620
9184222255352717
1044412060634000
111317305a453954
124b934312b6014
131ba20685a5747
14ad77ab6a03ba
155203d631bb1a
hex28647d190b90

44412060634000 has 120 divisors (see below), whose sum is σ = 112260427107192. Its totient is φ = 16992440185600.

The previous prime is 44412060633973. The next prime is 44412060634001. The reversal of 44412060634000 is 43606021444.

It can be written as a sum of positive squares in 4 ways, for example, as 245349827584 + 44166710806416 = 495328^2 + 6645804^2 .

It is a super-2 number, since 2×444120606340002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44412060634001) by changing a digit.

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, 19930687 + ... + 22046686.

Almost surely, 244412060634000 is an apocalyptic number.

44412060634000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44412060634000 is an abundant number, since it is smaller than the sum of its proper divisors (67848366473192).

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

44412060634000 is a wasteful number, since it uses less digits than its factorization.

44412060634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41977442 (or 41977403 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 44412060634000 its reverse (43606021444), we get a palindrome (44455666655444).

The spelling of 44412060634000 in words is "forty-four trillion, four hundred twelve billion, sixty million, six hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 529 575 920 1000 1058 1150 1840 2000 2116 2300 2645 2875 4232 4600 5290 5750 8464 9200 10580 11500 13225 21160 23000 26450 42320 46000 52900 66125 105800 132250 211600 264500 529000 1058000 41977373 83954746 167909492 209886865 335818984 419773730 671637968 839547460 965479579 1049434325 1679094920 1930959158 2098868650 3358189840 3861918316 4197737300 4827397895 5247171625 7723836632 8395474600 9654795790 10494343250 15447673264 16790949200 19309591580 20988686500 22206030317 24136989475 38619183160 41977373000 44412060634 48273978950 77238366320 83954746000 88824121268 96547957900 111030151585 120684947375 177648242536 193095915800 222060303170 241369894750 355296485072 386191831600 444120606340 482739789500 555150757925 888241212680 965479579000 1110301515850 1776482425360 1930959158000 2220603031700 2775753789625 4441206063400 5551507579250 8882412126800 11103015158500 22206030317000 44412060634000