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4042900017 = 321374346507
BaseRepresentation
bin1111000011111001…
…1100001000110001
3101102202102121012200
43300332130020301
531234440300032
61505101213413
7202121040342
oct36076341061
911382377180
104042900017
111795125692
12949b61269
134c5792240
142a4d200c9
15189deb47c
hexf0f9c231

4042900017 has 24 divisors (see below), whose sum is σ = 6297555264. Its totient is φ = 2484536544.

The previous prime is 4042900007. The next prime is 4042900019. The reversal of 4042900017 is 7100092404.

It is a happy number.

4042900017 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4042900017 - 26 = 4042899953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4042900019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63678 + ... + 110184.

It is an arithmetic number, because the mean of its divisors is an integer number (262398136).

Almost surely, 24042900017 is an apocalyptic number.

It is an amenable number.

4042900017 is a deficient number, since it is larger than the sum of its proper divisors (2254655247).

4042900017 is a wasteful number, since it uses less digits than its factorization.

4042900017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47269 (or 47266 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4042900017 is about 63583.8031026770. The cubic root of 4042900017 is about 1593.0558450093.

The spelling of 4042900017 in words is "four billion, forty-two million, nine hundred thousand, seventeen".

Divisors: 1 3 9 13 39 117 743 2229 6687 9659 28977 46507 86931 139521 418563 604591 1813773 5441319 34554701 103664103 310992309 449211113 1347633339 4042900017