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44114143430000 = 24547630202049
BaseRepresentation
bin10100000011111000111111…
…10110010100010101110000
312210012021022111121202001002
422001330133312110111300
521240231231204230000
6233453431400101132
712202066412151140
oct1201743766242560
9183167274552032
1044114143430000
1113068780a05066
124b457494647a8
131b7cc3b120107
14ac71c900a920
1551779b9278d5
hex281f1fd94570

44114143430000 has 100 divisors (see below), whose sum is σ = 122062574660400. Its totient is φ = 15124849152000.

The previous prime is 44114143429981. The next prime is 44114143430003. The reversal of 44114143430000 is 3434141144.

44114143430000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×441141434300002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44114143430003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 315031025 + ... + 315171024.

It is an arithmetic number, because the mean of its divisors is an integer number (1220625746604).

Almost surely, 244114143430000 is an apocalyptic number.

44114143430000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44114143430000 is an abundant number, since it is smaller than the sum of its proper divisors (77948431230400).

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

44114143430000 is an equidigital number, since it uses as much as digits as its factorization.

44114143430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630202084 (or 630202063 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 44114143430000 its reverse (3434141144), we get a palindrome (44117577571144).

The spelling of 44114143430000 in words is "forty-four trillion, one hundred fourteen billion, one hundred forty-three million, four hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 70000 630202049 1260404098 2520808196 3151010245 4411414343 5041616392 6302020490 8822828686 10083232784 12604040980 15755051225 17645657372 22057071715 25208081960 31510102450 35291314744 44114143430 50416163920 63020204900 70582629488 78775256125 88228286860 110285358575 126040409800 157550512250 176456573720 220570717150 252080819600 315101024500 352913147440 393876280625 441141434300 551426792875 630202049000 787752561250 882282868600 1102853585750 1260404098000 1575505122500 1764565737200 2205707171500 2757133964375 3151010245000 4411414343000 5514267928750 6302020490000 8822828686000 11028535857500 22057071715000 44114143430000