Search a number
-
+
30104134144 = 29719942209
BaseRepresentation
bin11100000010010110…
…001010001000000000
32212201000020110120021
4130002112022020000
5443123124243034
621455112023224
72114002626640
oct340226121000
985630213507
1030104134144
1111848aa9607
125a01991b14
132ab9b25536
1416581d4520
15bb2d486b4
hex70258a200

30104134144 has 80 divisors (see below), whose sum is σ = 69089328000. Its totient is φ = 12836634624.

The previous prime is 30104134133. The next prime is 30104134189. The reversal of 30104134144 is 44143140103.

It is a super-2 number, since 2×301041341442 (a number of 22 digits) contains 22 as substring.

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, 692112 + ... + 734320.

It is an arithmetic number, because the mean of its divisors is an integer number (863616600).

Almost surely, 230104134144 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 30104134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34544664000).

30104134144 is an abundant number, since it is smaller than the sum of its proper divisors (38985193856).

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

30104134144 is an equidigital number, since it uses as much as digits as its factorization.

30104134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42433 (or 42417 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 30104134144 its reverse (44143140103), we get a palindrome (74247274247).

The spelling of 30104134144 in words is "thirty billion, one hundred four million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 199 224 256 398 448 512 796 896 1393 1592 1792 2786 3184 3584 5572 6368 11144 12736 22288 25472 42209 44576 50944 84418 89152 101888 168836 178304 295463 337672 356608 590926 675344 713216 1181852 1350688 2363704 2701376 4727408 5402752 8399591 9454816 10805504 16799182 18909632 21611008 33598364 37819264 58797137 67196728 75638528 117594274 134393456 151277056 235188548 268786912 470377096 537573824 940754192 1075147648 1881508384 2150295296 3763016768 4300590592 7526033536 15052067072 30104134144