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44561120334642 = 2341773431514271
BaseRepresentation
bin10100010000111001100011…
…01111111001001100110010
312211210000001002112010110000
422020130301233321030302
521320042133301202032
6234435032430250430
712246302050151622
oct1210346157711462
9184700032463400
1044561120334642
11132202a07a519a
124bb82b1056a16
131bb31320bb642
14b00aac204882
1552420c5ade7c
hex288731bf9332

44561120334642 has 160 divisors (see below), whose sum is σ = 107420575832064. Its totient is φ = 13756434508800.

The previous prime is 44561120334613. The next prime is 44561120334667. The reversal of 44561120334642 is 24643302116544.

44561120334642 is a `hidden beast` number, since 4 + 4 + 5 + 61 + 1 + 203 + 346 + 42 = 666.

44561120334642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86391967 + ... + 86906237.

Almost surely, 244561120334642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44561120334642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53710287916032).

44561120334642 is an abundant number, since it is smaller than the sum of its proper divisors (62859455497422).

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

44561120334642 is a wasteful number, since it uses less digits than its factorization.

44561120334642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514806 (or 514797 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 44561120334642 in words is "forty-four trillion, five hundred sixty-one billion, one hundred twenty million, three hundred thirty-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 73 81 102 146 153 162 219 306 431 438 459 657 862 918 1241 1293 1314 1377 1971 2482 2586 2754 3723 3879 3942 5913 7327 7446 7758 11169 11637 11826 14654 21981 22338 23274 31463 33507 34911 43962 62926 65943 67014 69822 94389 100521 131886 188778 197829 201042 283167 395658 514271 534871 566334 593487 849501 1028542 1069742 1186974 1542813 1604613 1699002 2548503 3085626 3209226 4628439 4813839 5097006 8742607 9256878 9627678 13885317 14441517 17485214 26227821 27770634 28883034 37541783 41655951 43324551 52455642 75083566 78683463 83311902 86649102 112625349 157366926 221650801 225250698 236050389 337876047 443301602 472100778 638210311 664952403 675752094 708151167 1013628141 1276420622 1329904806 1416302334 1914630933 1994857209 2027256282 3040884423 3768063617 3829261866 3989714418 5743892799 5984571627 6081768846 7536127234 11304190851 11487785598 11969143254 16180508473 17231678397 17953714881 22608381702 32361016946 33912572553 34463356794 35907429762 48541525419 51695035191 67825145106 97083050838 101737717659 103390070382 145624576257 203475435318 275068644041 291249152514 305213152977 436873728771 550137288082 610426305954 825205932123 873747457542 1310621186313 1650411864246 2475617796369 2621242372626 4951235592738 7426853389107 14853706778214 22280560167321 44561120334642