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30230241334400 = 27529446950417
BaseRepresentation
bin1101101111110100001101…
…10010111101010010000000
310222000222112111101101220202
412313322012302331102000
512430243013240200100
6144143325310024332
76240030363423002
oct667720662752200
9128028474341822
1030230241334400
1196a56341503a8
1234829a67a80a8
1313b3912b20823
14767219978372
153765581487d5
hex1b7e86cbd480

30230241334400 has 48 divisors (see below), whose sum is σ = 74678143054290. Its totient is φ = 12092096532480.

The previous prime is 30230241334313. The next prime is 30230241334441. The reversal of 30230241334400 is 443314203203.

It can be written as a sum of positive squares in 3 ways, for example, as 15050240927296 + 15180000407104 = 3879464^2 + 3896152^2 .

It is a super-2 number, since 2×302302413344002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4723472009 + ... + 4723478408.

Almost surely, 230230241334400 is an apocalyptic number.

It is an amenable number.

30230241334400 is an abundant number, since it is smaller than the sum of its proper divisors (44447901719890).

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

30230241334400 is an equidigital number, since it uses as much as digits as its factorization.

30230241334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9446950441 (or 9446950424 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 30230241334400 its reverse (443314203203), we get a palindrome (30673555537603).

The spelling of 30230241334400 in words is "thirty trillion, two hundred thirty billion, two hundred forty-one million, three hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 9446950417 18893900834 37787801668 47234752085 75575603336 94469504170 151151206672 188939008340 236173760425 302302413344 377878016680 472347520850 604604826688 755756033360 944695041700 1209209653376 1511512066720 1889390083400 3023024133440 3778780166800 6046048266880 7557560333600 15115120667200 30230241334400