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30004612242 = 23112193758789
BaseRepresentation
bin11011111100011010…
…100000110010010010
32212110001222020011220
4123330122200302102
5442422140042432
621441154545510
72111353665423
oct337432406222
985401866156
1030004612242
11117a7904300
125994598296
132aa231b537
141648cc964a
15ba923a72c
hex6fc6a0c92

30004612242 has 96 divisors (see below), whose sum is σ = 71309918400. Its totient is φ = 8380817280.

The previous prime is 30004612241. The next prime is 30004612291. The reversal of 30004612242 is 24221640003.

It is not an unprimeable number, because it can be changed into a prime (30004612241) 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, 480984 + ... + 539772.

It is an arithmetic number, because the mean of its divisors is an integer number (742811650).

Almost surely, 230004612242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30004612242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35654959200).

30004612242 is an abundant number, since it is smaller than the sum of its proper divisors (41305306158).

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

30004612242 is a wasteful number, since it uses less digits than its factorization.

30004612242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58872 (or 58861 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 30004 and 612242, that added together give a palindrome (642246).

The spelling of 30004612242 in words is "thirty billion, four million, six hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 37 38 57 66 74 111 114 121 209 222 242 363 407 418 627 703 726 814 1221 1254 1406 2109 2299 2442 4218 4477 4598 6897 7733 8954 13431 13794 15466 23199 26862 46398 58789 85063 117578 170126 176367 255189 352734 510378 646679 1116991 1293358 1940037 2175193 2233982 3350973 3880074 4350386 6525579 6701946 7113469 12286901 13051158 14226938 21340407 23927123 24573802 36860703 41328667 42680814 47854246 71781369 73721406 82657334 123986001 135155911 143562738 247972002 263198353 270311822 405467733 454615337 526396706 789595059 810935466 909230674 1363846011 1579190118 2727692022 5000768707 10001537414 15002306121 30004612242