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4434313120000 = 285427714457
BaseRepresentation
bin100000010000111000110…
…1010001000100100000000
3120200220201220110011122021
41000201301222020210000
51040122433124320000
613233032331251224
7635240261421631
oct100416152104400
916626656404567
104434313120000
11145a644176985
125b74965a9b14
1326220026307a
1411489c6cb888
157a52eea411a
hex40871a88900

4434313120000 has 90 divisors (see below), whose sum is σ = 11060590757678. Its totient is φ = 1773725184000.

The previous prime is 4434313119989. The next prime is 4434313120009. The reversal of 4434313120000 is 213134344.

It can be written as a sum of positive squares in 5 ways, for example, as 379534852096 + 4054778267904 = 616064^2 + 2013648^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4434313120009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13697229 + ... + 14017228.

Almost surely, 24434313120000 is an apocalyptic number.

4434313120000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4434313120000 is an abundant number, since it is smaller than the sum of its proper divisors (6626277637678).

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

4434313120000 is an frugal number, since it uses more digits than its factorization.

4434313120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27714493 (or 27714464 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 4434313120000 its reverse (213134344), we get a palindrome (4434526254344).

The spelling of 4434313120000 in words is "four trillion, four hundred thirty-four billion, three hundred thirteen million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 80000 160000 27714457 55428914 110857828 138572285 221715656 277144570 443431312 554289140 692861425 886862624 1108578280 1385722850 1773725248 2217156560 2771445700 3464307125 3547450496 4434313120 5542891400 6928614250 7094900992 8868626240 11085782800 13857228500 17321535625 17737252480 22171565600 27714457000 34643071250 35474504960 44343131200 55428914000 69286142500 88686262400 110857828000 138572285000 177372524800 221715656000 277144570000 443431312000 554289140000 886862624000 1108578280000 2217156560000 4434313120000