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304121404422 = 2321122319733491
BaseRepresentation
bin1000110110011110000…
…11000101110000000110
31002001222202002001202100
410123033003011300012
514440320034420142
6351413401052530
730654261166563
oct4331703056006
91061882061670
10304121404422
11107a82671460
124ab35787146
13228a8949554
1410a1065986a
157d9e415b4c
hex46cf0c5c06

304121404422 has 96 divisors (see below), whose sum is σ = 722628781056. Its totient is φ = 91671969600.

The previous prime is 304121404403. The next prime is 304121404423. The reversal of 304121404422 is 224404121403.

304121404422 is a `hidden beast` number, since 3 + 0 + 4 + 1 + 214 + 0 + 442 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304121404423) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 87114097 + ... + 87117587.

It is an arithmetic number, because the mean of its divisors is an integer number (7527383136).

Almost surely, 2304121404422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304121404422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361314390528).

304121404422 is an abundant number, since it is smaller than the sum of its proper divisors (418507376634).

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

304121404422 is a wasteful number, since it uses less digits than its factorization.

304121404422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5706 (or 5703 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 304121404422 its reverse (224404121403), we get a palindrome (528525525825).

The spelling of 304121404422 in words is "three hundred four billion, one hundred twenty-one million, four hundred four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 223 446 669 1338 1973 2007 2453 3491 3946 4014 4906 5919 6982 7359 10473 11838 14718 17757 20946 21703 22077 31419 35514 38401 43406 44154 62838 65109 76802 115203 130218 195327 230406 345609 390654 439979 691218 778493 879958 1319937 1556986 2335479 2639874 3959811 4670958 4839769 6887743 7006437 7919622 8563423 9679538 13775486 14012874 14519307 17126846 20663229 25690269 29038614 41326458 43557921 51380538 61989687 75765173 77070807 87115842 123979374 151530346 154141614 227295519 454591038 681886557 1363773114 1535966689 3071933378 4607900067 9215800134 13823700201 16895633579 27647400402 33791267158 50686900737 101373801474 152060702211 304121404422