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4042368801 = 33416159863
BaseRepresentation
bin1111000011110001…
…1010011100100001
3101102201102121112000
43300330122130201
531234321300201
61505041554213
7202113365532
oct36074323441
911381377460
104042368801
1117948a2569
12949945969
134c5637503
142a4c22689
15189d43d86
hexf0f1a721

4042368801 has 32 divisors (see below), whose sum is σ = 6235434240. Its totient is φ = 2586038400.

The previous prime is 4042368791. The next prime is 4042368829. The reversal of 4042368801 is 1088632404.

4042368801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4042368801 - 214 = 4042352417 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4042368901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37596 + ... + 97458.

It is an arithmetic number, because the mean of its divisors is an integer number (194857320).

Almost surely, 24042368801 is an apocalyptic number.

4042368801 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4042368801 is a deficient number, since it is larger than the sum of its proper divisors (2193065439).

4042368801 is a wasteful number, since it uses less digits than its factorization.

4042368801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59974 (or 59968 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4042368801 is about 63579.6256752114. The cubic root of 4042368801 is about 1592.9860688735.

The spelling of 4042368801 in words is "four billion, forty-two million, three hundred sixty-eight thousand, eight hundred one".

Divisors: 1 3 9 27 41 61 123 183 369 549 1107 1647 2501 7503 22509 59863 67527 179589 538767 1616301 2454383 3651643 7363149 10954929 22089447 32864787 66268341 98594361 149717363 449152089 1347456267 4042368801