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30320413024 = 25112333371097
BaseRepresentation
bin11100001111001111…
…001100100101100000
32220021002012120102011
4130033033030211200
5444044011204044
621532355402304
72122240154416
oct341717144540
986232176364
1030320413024
111194a0a0090
125a622b3394
132b2288c2c5
141678c132b6
15bc6d1b134
hex70f3cc960

30320413024 has 96 divisors (see below), whose sum is σ = 65653320096. Its totient is φ = 13669662720.

The previous prime is 30320413003. The next prime is 30320413027. The reversal of 30320413024 is 42031402303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 30320412986 and 30320413004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30320413027) 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 15 ways as a sum of consecutive naturals, for example, 27638844 + ... + 27639940.

It is an arithmetic number, because the mean of its divisors is an integer number (683888751).

Almost surely, 230320413024 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 30320413024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32826660048).

30320413024 is an abundant number, since it is smaller than the sum of its proper divisors (35332907072).

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

30320413024 is a wasteful number, since it uses less digits than its factorization.

30320413024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 30320413024 its reverse (42031402303), we get a palindrome (72351815327).

It can be divided in two parts, 30320 and 413024, that added together give a palindrome (443344).

The spelling of 30320413024 in words is "thirty billion, three hundred twenty million, four hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 233 337 352 466 674 932 1097 1348 1864 2194 2563 2696 3707 3728 4388 5126 5392 7414 7456 8776 10252 10784 12067 14828 17552 20504 24134 29656 35104 41008 48268 59312 78521 82016 96536 118624 157042 193072 255601 314084 369689 386144 511202 628168 739378 863731 1022404 1256336 1478756 1727462 2044808 2512672 2811611 2957512 3454924 4066579 4089616 5623222 5915024 6909848 8133158 8179232 11246444 11830048 13819696 16266316 22492888 27639392 32532632 44985776 65065264 86137537 89971552 130130528 172275074 344550148 689100296 947512907 1378200592 1895025814 2756401184 3790051628 7580103256 15160206512 30320413024