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4400240042000 = 245311200010911
BaseRepresentation
bin100000000001000001010…
…1111101010000000010000
3120120122210021221110122102
41000002002233222000100
51034043142422321000
613205235315055532
7632623023143045
oct100020257520020
916518707843572
104400240042000
111447149876090
125b09675a15a8
1325bc300a0a5a
14112d893491cc
15796d89bc3d5
hex40082bea010

4400240042000 has 80 divisors (see below), whose sum is σ = 11607033245184. Its totient is φ = 1600087280000.

The previous prime is 4400240041999. The next prime is 4400240042057. The reversal of 4400240042000 is 2400420044.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×44002400420002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99983456 + ... + 100027455.

Almost surely, 24400240042000 is an apocalyptic number.

4400240042000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4400240042000 is an abundant number, since it is smaller than the sum of its proper divisors (7206793203184).

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

4400240042000 is a wasteful number, since it uses less digits than its factorization.

4400240042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200010945 (or 200010929 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 4400240042000 its reverse (2400420044), we get a palindrome (4402640462044).

It can be divided in two parts, 4 and 400240042000, that added together give a palindrome (400240042004).

The spelling of 4400240042000 in words is "four trillion, four hundred billion, two hundred forty million, forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 200010911 400021822 800043644 1000054555 1600087288 2000109110 2200120021 3200174576 4000218220 4400240042 5000272775 8000436440 8800480084 10000545550 11000600105 16000872880 17600960168 20001091100 22001200210 25001363875 35201920336 40002182200 44002400420 50002727750 55003000525 80004364400 88004800840 100005455500 110006001050 176009601680 200010911000 220012002100 275015002625 400021822000 440024004200 550030005250 880048008400 1100060010500 2200120021000 4400240042000