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30433213344 = 25310117318143
BaseRepresentation
bin11100010101111101…
…011111101110100000
32220112221110102100210
4130111331133232200
5444311400311334
621551505214120
72125110021342
oct342575375640
986487412323
1030433213344
11119a7834696
125a94031340
132b40065161
141689bb7292
15bd1b9d5e9
hex715f5fba0

30433213344 has 96 divisors (see below), whose sum is σ = 81148967424. Its totient is φ = 9985356800.

The previous prime is 30433213339. The next prime is 30433213351. The reversal of 30433213344 is 44331233403.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1668337 + ... + 1686479.

It is an arithmetic number, because the mean of its divisors is an integer number (845301744).

Almost surely, 230433213344 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 30433213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40574483712).

30433213344 is an abundant number, since it is smaller than the sum of its proper divisors (50715754080).

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

30433213344 is a wasteful number, since it uses less digits than its factorization.

30433213344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18430 (or 18422 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 30433213344 its reverse (44331233403), we get a palindrome (74764446747).

The spelling of 30433213344 in words is "thirty billion, four hundred thirty-three million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 173 202 303 346 404 519 606 692 808 1038 1212 1384 1616 2076 2424 2768 3232 4152 4848 5536 8304 9696 16608 17473 18143 34946 36286 52419 54429 69892 72572 104838 108858 139784 145144 209676 217716 279568 290288 419352 435432 559136 580576 838704 870864 1677408 1741728 1832443 3138739 3664886 5497329 6277478 7329772 9416217 10994658 12554956 14659544 18832434 21989316 25109912 29319088 37664868 43978632 50219824 58638176 75329736 87957264 100439648 150659472 175914528 301318944 317012639 634025278 951037917 1268050556 1902075834 2536101112 3804151668 5072202224 7608303336 10144404448 15216606672 30433213344