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30442054336 = 264321731487
BaseRepresentation
bin11100010110011111…
…001110001011000000
32220120120002120220221
4130112133032023000
5444321131214321
621552422512424
72125245123001
oct342637161300
986516076827
1030442054336
1111a01822aa1
125a96b95714
132b41b3c305
14168b0391a8
15bd2847e41
hex7167ce2c0

30442054336 has 84 divisors (see below), whose sum is σ = 62245292832. Its totient is φ = 14771172864.

The previous prime is 30442054333. The next prime is 30442054387. The reversal of 30442054336 is 63345024403.

It is not an unprimeable number, because it can be changed into a prime (30442054333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20471385 + ... + 20472871.

Almost surely, 230442054336 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 30442054336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31122646416).

30442054336 is an abundant number, since it is smaller than the sum of its proper divisors (31803238496).

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

30442054336 is a wasteful number, since it uses less digits than its factorization.

30442054336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

Adding to 30442054336 its reverse (63345024403), we get a palindrome (93787078739).

The spelling of 30442054336 in words is "thirty billion, four hundred forty-two million, fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 43 64 86 172 173 344 346 688 692 1376 1384 1487 1849 2752 2768 2974 3698 5536 5948 7396 7439 11072 11896 14792 14878 23792 29584 29756 47584 59168 59512 63941 95168 118336 119024 127882 238048 255764 257251 319877 476096 511528 514502 639754 1023056 1029004 1279508 2046112 2058008 2559016 2749463 4092224 4116016 5118032 5498926 8232032 10236064 10997852 11061793 16464064 20472128 21995704 22123586 43991408 44247172 87982816 88494344 175965632 176988688 353977376 475657099 707954752 951314198 1902628396 3805256792 7610513584 15221027168 30442054336