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30242032000 = 275313191433
BaseRepresentation
bin11100001010100100…
…001100100110000000
32220001121201101212021
4130022210030212000
5443413430011000
621520515411224
72120266013335
oct341244144600
986047641767
1030242032000
1111909925284
125a3bbb3b14
132b0c577abb
14166c64c98c
15bbeed711a
hex70a90c980

30242032000 has 128 divisors (see below), whose sum is σ = 75298766400. Its totient is φ = 12079206400.

The previous prime is 30242031979. The next prime is 30242032049. The reversal of 30242032000 is 23024203.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 21103284 + ... + 21104716.

Almost surely, 230242032000 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 30242032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37649383200).

30242032000 is an abundant number, since it is smaller than the sum of its proper divisors (45056734400).

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

30242032000 is a wasteful number, since it uses less digits than its factorization.

30242032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 30242032000 its reverse (23024203), we get a palindrome (30265056203).

It can be divided in two parts, 3024203 and 2000, that added together give a palindrome (3026203).

The spelling of 30242032000 in words is "thirty billion, two hundred forty-two million, thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1319 1433 1600 2000 2638 2866 3200 4000 5276 5732 6595 7165 8000 10552 11464 13190 14330 16000 21104 22928 26380 28660 32975 35825 42208 45856 52760 57320 65950 71650 84416 91712 105520 114640 131900 143300 164875 168832 179125 183424 211040 229280 263800 286600 329750 358250 422080 458560 527600 573200 659500 716500 844160 917120 1055200 1146400 1319000 1433000 1890127 2110400 2292800 2638000 2866000 3780254 4220800 4585600 5276000 5732000 7560508 9450635 10552000 11464000 15121016 18901270 21104000 22928000 30242032 37802540 47253175 60484064 75605080 94506350 120968128 151210160 189012700 236265875 241936256 302420320 378025400 472531750 604840640 756050800 945063500 1209681280 1512101600 1890127000 3024203200 3780254000 6048406400 7560508000 15121016000 30242032000