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30424142430 = 23351110243819
BaseRepresentation
bin11100010101011010…
…111001001001011110
32220112022101120102000
4130111122321021132
5444302040024210
621550542543130
72124636641463
oct342532711136
986468346360
1030424142430
11119a26a9570
125a90b97aa6
132b3b20a456
1416888d566a
15bd0eaaac0
hex7156b925e

30424142430 has 64 divisors (see below), whose sum is σ = 88506604800. Its totient is φ = 7375548960.

The previous prime is 30424142417. The next prime is 30424142447. The reversal of 30424142430 is 3424142403.

It is a happy number.

30424142430 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 414 + 243 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30424142394 and 30424142403.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5118940 + ... + 5124879.

It is an arithmetic number, because the mean of its divisors is an integer number (1382915700).

Almost surely, 230424142430 is an apocalyptic number.

30424142430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30424142430 is an abundant number, since it is smaller than the sum of its proper divisors (58082462370).

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

30424142430 is a wasteful number, since it uses less digits than its factorization.

30424142430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10243846 (or 10243840 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Subtracting from 30424142430 its sum of digits (27), we obtain a palindrome (30424142403).

Adding to 30424142430 its reverse (3424142403), we get a palindrome (33848284833).

The spelling of 30424142430 in words is "thirty billion, four hundred twenty-four million, one hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 10243819 20487638 30731457 51219095 61462914 92194371 102438190 112682009 153657285 184388742 225364018 276583113 307314570 338046027 460971855 553166226 563410045 676092054 921943710 1014138081 1126820090 1382915565 1690230135 2028276162 2765831130 3042414243 3380460270 5070690405 6084828486 10141380810 15212071215 30424142430