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30424104240 = 2435126767101
BaseRepresentation
bin11100010101011010…
…101111110100110000
32220112022022122000120
4130111122233310300
5444302032313430
621550542050240
72124636422235
oct342532576460
986468278016
1030424104240
11119a2682902
125a90b79980
132b3b1c5c5a
1416888c578c
15bd0e9e610
hex7156afd30

30424104240 has 40 divisors (see below), whose sum is σ = 94314723888. Its totient is φ = 8113094400.

The previous prime is 30424104229. The next prime is 30424104241. The reversal of 30424104240 is 4240142403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×304241042402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30424104240.

It is not an unprimeable number, because it can be changed into a prime (30424104241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63383311 + ... + 63383790.

Almost surely, 230424104240 is an apocalyptic number.

30424104240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30424104240 is an abundant number, since it is smaller than the sum of its proper divisors (63890619648).

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

30424104240 is a wasteful number, since it uses less digits than its factorization.

30424104240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126767117 (or 126767111 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 30424104240 its reverse (4240142403), we get a palindrome (34664246643).

The spelling of 30424104240 in words is "thirty billion, four hundred twenty-four million, one hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 126767101 253534202 380301303 507068404 633835505 760602606 1014136808 1267671010 1521205212 1901506515 2028273616 2535342020 3042410424 3803013030 5070684040 6084820848 7606026060 10141368080 15212052120 30424104240