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30243413120 = 275293161281
BaseRepresentation
bin11100001010101001…
…011101110010000000
32220001201022120101212
4130022221131302000
5443414303204440
621521005145252
72120313525044
oct341251356200
986051276355
1030243413120
111190a6889a8
125a4055b228
132b0c93c62b
14166c8cc024
15bc01ab465
hex70aa5dc80

30243413120 has 64 divisors (see below), whose sum is σ = 72547869240. Its totient is φ = 12056002560.

The previous prime is 30243413087. The next prime is 30243413149. The reversal of 30243413120 is 2131434203.

It can be written as a sum of positive squares in 4 ways, for example, as 28242819136 + 2000593984 = 168056^2 + 44728^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106880 + ... + 268160.

Almost surely, 230243413120 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 30243413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36273934620).

30243413120 is an abundant number, since it is smaller than the sum of its proper divisors (42304456120).

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

30243413120 is a wasteful number, since it uses less digits than its factorization.

30243413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161593 (or 161581 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 30243413120 its reverse (2131434203), we get a palindrome (32374847323).

The spelling of 30243413120 in words is "thirty billion, two hundred forty-three million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 293 320 586 640 1172 1465 2344 2930 4688 5860 9376 11720 18752 23440 37504 46880 93760 161281 187520 322562 645124 806405 1290248 1612810 2580496 3225620 5160992 6451240 10321984 12902480 20643968 25804960 47255333 51609920 94510666 103219840 189021332 236276665 378042664 472553330 756085328 945106660 1512170656 1890213320 3024341312 3780426640 6048682624 7560853280 15121706560 30243413120