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30133424304 = 243439758567
BaseRepresentation
bin11100000100000101…
…111001000010110000
32212210001100120010000
4130010011321002300
5443203124034204
621502035510000
72114506610664
oct340405710260
985701316100
1030133424304
1111863594755
125a0b758300
132ac2c0c3a9
14165c05a8a4
15bb56d2039
hex7041790b0

30133424304 has 100 divisors (see below), whose sum is σ = 87436050064. Its totient is φ = 10019002752.

The previous prime is 30133424297. The next prime is 30133424311. The reversal of 30133424304 is 40342433103.

30133424304 is a `hidden beast` number, since 3 + 0 + 1 + 334 + 24 + 304 = 666.

It is an interprime number because it is at equal distance from previous prime (30133424297) and next prime (30133424311).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 485229 + ... + 543795.

Almost surely, 230133424304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30133424304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43718025032).

30133424304 is an abundant number, since it is smaller than the sum of its proper divisors (57302625760).

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

30133424304 is a wasteful number, since it uses less digits than its factorization.

30133424304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58984 (or 58969 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 30133424304 its reverse (40342433103), we get a palindrome (70475857407).

The spelling of 30133424304 in words is "thirty billion, one hundred thirty-three million, four hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 397 432 648 794 1191 1296 1588 2382 3176 3573 4764 6352 7146 9528 10719 14292 19056 21438 28584 32157 42876 57168 58567 64314 85752 117134 128628 171504 175701 234268 257256 351402 468536 514512 527103 702804 937072 1054206 1405608 1581309 2108412 2811216 3162618 4216824 4743927 6325236 8433648 9487854 12650472 18975708 23251099 25300944 37951416 46502198 69753297 75902832 93004396 139506594 186008792 209259891 279013188 372017584 418519782 558026376 627779673 837039564 1116052752 1255559346 1674079128 1883339019 2511118692 3348158256 3766678038 5022237384 7533356076 10044474768 15066712152 30133424304