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484080444000 = 25325313446679
BaseRepresentation
bin1110000101101010111…
…00010110001001100000
31201021111101202110212100
413002311130112021200
530412344043202000
61010214455530400
746654651611546
oct7026534261140
91637441673770
10484080444000
1117732a87744a
1279999689a00
1336857c4c05a
1419602c31d96
15c8d322ca00
hex70b5716260

484080444000 has 144 divisors (see below), whose sum is σ = 1718001623520. Its totient is φ = 129088108800.

The previous prime is 484080443969. The next prime is 484080444017. The reversal of 484080444000 is 444080484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6687340 + ... + 6759339.

It is an arithmetic number, because the mean of its divisors is an integer number (11930566830).

Almost surely, 2484080444000 is an apocalyptic number.

484080444000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

484080444000 is an abundant number, since it is smaller than the sum of its proper divisors (1233921179520).

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

484080444000 is a wasteful number, since it uses less digits than its factorization.

484080444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13446710 (or 13446689 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 484080444000 in words is "four hundred eighty-four billion, eighty million, four hundred forty-four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 13446679 26893358 40340037 53786716 67233395 80680074 107573432 121020111 134466790 161360148 201700185 215146864 242040222 268933580 322720296 336166975 403400370 430293728 484080444 537867160 605100555 645440592 672333950 806800740 968160888 1008500925 1075734320 1210201110 1290881184 1344667900 1613601480 1680834875 1936321776 2017001850 2151468640 2420402220 2689335800 3025502775 3227202960 3361669750 3872643552 4034003700 4840804440 5042504625 5378671600 6051005550 6454405920 6723339500 8068007400 9681608880 10085009250 10757343200 12102011100 13446679000 15127513875 16136014800 19363217760 20170018500 24204022200 26893358000 30255027750 32272029600 40340037000 48408044400 53786716000 60510055500 80680074000 96816088800 121020111000 161360148000 242040222000 484080444000