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44134573450400 = 255283664677311
BaseRepresentation
bin10100000100011111000011…
…00100101010010010100000
312210021020001022022022101022
422002033201210222102200
521241100101300403100
6233511050530225012
712203421605361626
oct1202174144522240
9183236038268338
1044134573450400
1113076405143844
124b496ab425168
131b81b4591a694
14ac81a646d516
155180952d6e85
hex2823e192a4a0

44134573450400 has 72 divisors (see below), whose sum is σ = 109041642388224. Its totient is φ = 17441132614400.

The previous prime is 44134573450267. The next prime is 44134573450439. The reversal of 44134573450400 is 405437543144.

It is a super-2 number, since 2×441345734504002 (a number of 28 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 332272256 + ... + 332405055.

It is an arithmetic number, because the mean of its divisors is an integer number (1514467255392).

Almost surely, 244134573450400 is an apocalyptic number.

44134573450400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44134573450400 is an abundant number, since it is smaller than the sum of its proper divisors (64907068937824).

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

44134573450400 is a wasteful number, since it uses less digits than its factorization.

44134573450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664677414 (or 664677401 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 44.

The spelling of 44134573450400 in words is "forty-four trillion, one hundred thirty-four billion, five hundred seventy-three million, four hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 160 166 200 332 400 415 664 800 830 1328 1660 2075 2656 3320 4150 6640 8300 13280 16600 33200 66400 664677311 1329354622 2658709244 3323386555 5317418488 6646773110 10634836976 13293546220 16616932775 21269673952 26587092440 33233865550 53174184880 55168216813 66467731100 106348369760 110336433626 132935462200 220672867252 265870924400 275841084065 441345734504 531741848800 551682168130 882691469008 1103364336260 1379205420325 1765382938016 2206728672520 2758410840650 4413457345040 5516821681300 8826914690080 11033643362600 22067286725200 44134573450400