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42022440640200 = 23352431628776769
BaseRepresentation
bin10011000111000000111001…
…01001011001111011001000
312111210022021010210111110210
421203200130221121323020
521001443424300441300
6225212502010041120
711565010152614556
oct1143403451317310
9174708233714423
1042022440640200
1112431687244a99
1248682924191a0
131a5a912051457
14a53c7b44cbd6
154cd177d68050
hex26381ca59ec8

42022440640200 has 96 divisors (see below), whose sum is σ = 133299090856800. Its totient is φ = 10945379880960.

The previous prime is 42022440640181. The next prime is 42022440640241. The reversal of 42022440640200 is 204604422024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 814362585 + ... + 814414184.

It is an arithmetic number, because the mean of its divisors is an integer number (1388532196425).

Almost surely, 242022440640200 is an apocalyptic number.

42022440640200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42022440640200 is an abundant number, since it is smaller than the sum of its proper divisors (91276650216600).

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

42022440640200 is a wasteful number, since it uses less digits than its factorization.

42022440640200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628776831 (or 1628776822 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The spelling of 42022440640200 in words is "forty-two trillion, twenty-two billion, four hundred forty million, six hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 860 1032 1075 1290 1720 2150 2580 3225 4300 5160 6450 8600 12900 25800 1628776769 3257553538 4886330307 6515107076 8143883845 9772660614 13030214152 16287767690 19545321228 24431651535 32575535380 39090642456 40719419225 48863303070 65151070760 70037401067 81438838450 97726606140 122158257675 140074802134 162877676900 195453212280 210112203201 244316515350 280149604268 325755353800 350187005335 420224406402 488633030700 560299208536 700374010670 840448812804 977266061400 1050561016005 1400748021340 1680897625608 1750935026675 2101122032010 2801496042680 3501870053350 4202244064020 5252805080025 7003740106700 8404488128040 10505610160050 14007480213400 21011220320100 42022440640200