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4142045661648 = 243101984683629
BaseRepresentation
bin111100010001100101001…
…010010000100111010000
3112122222100021122221220120
4330101211022100213100
51020330402142133043
612450455101310240
7605152516132416
oct74214512204720
915588307587816
104142045661648
1113576a487a674
1256a90a865380
132407934315bb
141046945112b6
1572b265ad983
hex3c4652909d0

4142045661648 has 40 divisors (see below), whose sum is σ = 10710785522400. Its totient is φ = 1379326932864.

The previous prime is 4142045661629. The next prime is 4142045661671. The reversal of 4142045661648 is 8461665402414.

It is a self number, because there is not a number n which added to its sum of digits gives 4142045661648.

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 7 ways as a sum of consecutive naturals, for example, 42292903 + ... + 42390726.

It is an arithmetic number, because the mean of its divisors is an integer number (267769638060).

Almost surely, 24142045661648 is an apocalyptic number.

4142045661648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4142045661648 is an abundant number, since it is smaller than the sum of its proper divisors (6568739860752).

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

4142045661648 is a wasteful number, since it uses less digits than its factorization.

4142045661648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84684659 (or 84684653 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 4142045661648 in words is "four trillion, one hundred forty-two billion, forty-five million, six hundred sixty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 1019 2038 3057 4076 6114 8152 12228 16304 24456 48912 84683629 169367258 254050887 338734516 508101774 677469032 1016203548 1354938064 2032407096 4064814192 86292617951 172585235902 258877853853 345170471804 517755707706 690340943608 1035511415412 1380681887216 2071022830824 4142045661648