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4023014220240 = 243571413234727
BaseRepresentation
bin111010100010101110010…
…101010110000111010000
3112020121002210000020000120
4322202232111112013100
51011403113120021430
612320051444350240
7563440020440121
oct72425625260720
915217083006016
104023014220240
1113111727139a4
1254b82b3a5380
132324a3ac6332
14dca01a90048
156e9ab678610
hex3a8ae5561d0

4023014220240 has 80 divisors (see below), whose sum is σ = 12471571851648. Its totient is φ = 1072784199168.

The previous prime is 4023014220229. The next prime is 4023014220259. The reversal of 4023014220240 is 420224103204.

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

It is a super-3 number, since 3×40230142202403 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4023014220240.

It is a congruent number.

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, 17021757 + ... + 17256483.

Almost surely, 24023014220240 is an apocalyptic number.

4023014220240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4023014220240 is an abundant number, since it is smaller than the sum of its proper divisors (8448557631408).

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

4023014220240 is a wasteful number, since it uses less digits than its factorization.

4023014220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306156 (or 306150 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4023014220240 its reverse (420224103204), we get a palindrome (4443238323444).

It can be divided in two parts, 40230 and 14220240, that added together give a triangular number (14260470 = T5340).

The spelling of 4023014220240 in words is "four trillion, twenty-three billion, fourteen million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 71413 142826 214239 234727 285652 357065 428478 469454 571304 704181 714130 856956 938908 1071195 1142608 1173635 1408362 1428260 1713912 1877816 2142390 2347270 2816724 2856520 3427824 3520905 3755632 4284780 4694540 5633448 5713040 7041810 8569560 9389080 11266896 14083620 17139120 18778160 28167240 56334480 16762559251 33525118502 50287677753 67050237004 83812796255 100575355506 134100474008 167625592510 201150711012 251438388765 268200948016 335251185020 402301422024 502876777530 670502370040 804602844048 1005753555060 1341004740080 2011507110120 4023014220240