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34423034221200 = 2435228685861851
BaseRepresentation
bin1111101001110101111001…
…01110100001001010010000
311111212210212102220111122210
413310322330232201022100
514002441333230034300
6201113420144432120
710151660610062232
oct764727456411220
9144783772814583
1034423034221200
11aa717aa458369
123a3b4b8618640
131629102a575b1
14870125b28252
153ea64e99c050
hex1f4ebcba1290

34423034221200 has 60 divisors (see below), whose sum is σ = 110268452959088. Its totient is φ = 9179475792000.

The previous prime is 34423034221187. The next prime is 34423034221211. The reversal of 34423034221200 is 212243032443.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14342929726 + ... + 14342932125.

Almost surely, 234423034221200 is an apocalyptic number.

34423034221200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34423034221200 is an abundant number, since it is smaller than the sum of its proper divisors (75845418737888).

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

34423034221200 is a wasteful number, since it uses less digits than its factorization.

34423034221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28685861872 (or 28685861861 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34423034221200 its reverse (212243032443), we get a palindrome (34635277253643).

The spelling of 34423034221200 in words is "thirty-four trillion, four hundred twenty-three billion, thirty-four million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 28685861851 57371723702 86057585553 114743447404 143429309255 172115171106 229486894808 286858618510 344230342212 430287927765 458973789616 573717237020 688460684424 717146546275 860575855530 1147434474040 1376921368848 1434293092550 1721151711060 2151439638825 2294868948080 2868586185100 3442303422120 4302879277650 5737172370200 6884606844240 8605758555300 11474344740400 17211517110600 34423034221200