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904042240409 = 7311972470189
BaseRepresentation
bin11010010011111010001…
…11011101100110011001
310012102111020222011122002
431021331013131212121
5104302434303143114
61531151122410345
7122213003153000
oct15117507354631
93172436864562
10904042240409
11319447304950
12127261b009b5
136733507a039
1431a821b3c37
15187b23477de
hexd27d1dd999

904042240409 has 32 divisors (see below), whose sum is σ = 1161977376000. Its totient is φ = 697185861120.

The previous prime is 904042240397. The next prime is 904042240429.

904042240409 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 904042240409 - 212 = 904042236313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (904042240429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869114 + ... + 1601075.

It is an arithmetic number, because the mean of its divisors is an integer number (36311793000).

Almost surely, 2904042240409 is an apocalyptic number.

It is an amenable number.

904042240409 is a deficient number, since it is larger than the sum of its proper divisors (257935135591).

904042240409 is a wasteful number, since it uses less digits than its factorization.

904042240409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470318 (or 2470304 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 904042240409 in words is "nine hundred four billion, forty-two million, two hundred forty thousand, four hundred nine".

Divisors: 1 7 11 49 77 97 343 539 679 1067 3773 4753 7469 33271 52283 365981 2470189 17291323 27172079 121039261 190204553 239608333 847274827 1331431871 1677258331 2635691663 9320023097 11740808317 18449841641 82185658219 129148891487 904042240409