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30424111104 = 211323920719
BaseRepresentation
bin11100010101011010…
…110001100000000000
32220112022022222102210
4130111122301200000
5444302033023404
621550542142120
72124636451242
oct342532614000
986468288383
1030424111104
11119a2687a82
125a90b81940
132b3b1c910a
1416888c8092
15bd0ea1689
hex7156b1800

30424111104 has 96 divisors (see below), whose sum is σ = 81454464000. Its totient is φ = 10098450432.

The previous prime is 30424111093. The next prime is 30424111121. The reversal of 30424111104 is 40111142403.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1458057 + ... + 1478775.

It is an arithmetic number, because the mean of its divisors is an integer number (848484000).

Almost surely, 230424111104 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 30424111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40727232000).

30424111104 is an abundant number, since it is smaller than the sum of its proper divisors (51030352896).

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

30424111104 is a wasteful number, since it uses less digits than its factorization.

30424111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20983 (or 20963 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 30424111104 its reverse (40111142403), we get a palindrome (70535253507).

It can be divided in two parts, 3042 and 4111104, that added together give a triangular number (4114146 = T2868).

The spelling of 30424111104 in words is "thirty billion, four hundred twenty-four million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 239 256 384 478 512 717 768 956 1024 1434 1536 1912 2048 2868 3072 3824 5736 6144 7648 11472 15296 20719 22944 30592 41438 45888 61184 62157 82876 91776 122368 124314 165752 183552 244736 248628 331504 367104 489472 497256 663008 734208 994512 1326016 1468416 1989024 2652032 3978048 4951841 5304064 7956096 9903682 10608128 14855523 15912192 19807364 21216256 29711046 31824384 39614728 42432512 59422092 63648768 79229456 118844184 127297536 158458912 237688368 316917824 475376736 633835648 950753472 1267671296 1901506944 2535342592 3803013888 5070685184 7606027776 10141370368 15212055552 30424111104