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44254155145244 = 221119293663749823
BaseRepresentation
bin10100000111111101110010…
…01100101000000000011100
312210200122201011100211002012
422003332321030220000130
521300030002204121434
6234042024521050352
712215154135122522
oct1203767114500034
9183618634324065
1044254155145244
1113112099970020
124b689030269b8
131b901c22545b5
14acdcac008312
1551b2436b03ce
hex283fb932801c

44254155145244 has 96 divisors (see below), whose sum is σ = 92002766284800. Its totient is φ = 18398810223360.

The previous prime is 44254155145219. The next prime is 44254155145271.

44254155145244 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44254155145192 and 44254155145201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 888202517 + ... + 888252339.

It is an arithmetic number, because the mean of its divisors is an integer number (958362148800).

Almost surely, 244254155145244 is an apocalyptic number.

44254155145244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44254155145244 is an abundant number, since it is smaller than the sum of its proper divisors (47748611139556).

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

44254155145244 is a wasteful number, since it uses less digits than its factorization.

44254155145244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86523 (or 86521 counting only the distinct ones).

The product of its digits is 10240000, while the sum is 50.

The spelling of 44254155145244 in words is "forty-four trillion, two hundred fifty-four billion, one hundred fifty-five million, one hundred forty-five thousand, two hundred forty-four".

Divisors: 1 2 4 11 19 22 29 38 44 58 76 116 209 319 418 551 638 836 1102 1276 2204 6061 12122 24244 36637 49823 73274 99646 146548 199292 403007 548053 696103 806014 946637 1062473 1096106 1392206 1444867 1612028 1893274 2124946 2192212 2784412 2889734 3786548 4249892 5779468 7657133 10413007 11687203 15314266 15893537 20186987 20826014 23374406 27452473 30628532 31787074 40373974 41652028 46748812 54904946 63574148 80747948 109809892 222056857 301977203 444113714 603954406 888227428 1207908812 1825365251 3650730502 7301461004 20079017761 34681939769 40158035522 52935592279 69363879538 80316071044 105871184558 138727759076 211742369116 381501337459 582291515069 763002674918 1005776253301 1164583030138 1526005349836 2011552506602 2329166060276 4023105013204 11063538786311 22127077572622 44254155145244